Equation

Problem 3501

Trisha is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose.
This table shows the relationship between the time Trisha has been filling up the pool (in minutes), xx, and the volume of water in the pool (in gallons), yy. \begin{tabular}{|c|c|} \hlinexx (minutes) & yy (gallons) \\ \hline 2 & 34 \\ \hline 3 & 51 \\ \hline 4 & 68 \\ \hline 5 & 85 \\ \hline \end{tabular}
According to the values in the table, do xx and yy have a proportional relationship? yes no
Write anyequation for the relationship between xx and yy. Simplify any fractions. y=y=\square

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Problem 3502

8. [-/1.81 Points]
DETAILS MY NOTES STITZPRECALC3 10.7.020.
Solve the following equation, giving the exact solutions which lie in [0,2π[0,2 \pi ). (Enter your answe sin(2x)=sin(x)x=\begin{array}{l} \sin (2 x)=\sin (x) \\ x=\square \end{array}
Your answer cannot be understood or graded. More Information Submit Answer Viewing Saved Work Revert to Last Response

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Problem 3503

A librarian needs to package up all of the children's books and move them to a different location in the library. There are 625 books, and she can fit 25 books in one box. How many boxe does she need in order to move all of the books? A. 5 B. 25 C. 125 D. 600 E. 650

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Problem 3504

1 A six-węek weight loss program of 19 people resulted in a mean weight loss of 6.1 pounds. Weight loss can be assumed normally distributed with known standard deviation of 9.8 lbs. Test whether the weight loss can be claimed to be greater than 0 ? Use the 1%1 \% level of significance. I What is the value of the TEST STATISTIC? \qquad Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square A)

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Problem 3505

ALEKS - Ava Drexler-Amey 3xe/10_u-lgNslkasNW8D8A9PVVfu7nMe56bnd_Vyg51BuSaxDUY2OFMoF5b1Zv10r8-H1SkOK3yuqYtwBSWbk4e-rnDxN-aPljMa5N8wOnqAN-BMdqzxt1H40q?10Bw7QYjlbavbSPXtx-Y Confidence Intervals and Hypothesis Testing Confidence interval for a population proportion 1/51 / 5
A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant drug who find relief. A random sample of 200 individuals who had been taking the drug is questioned; 162 of them found relief from depression. Based upon this, compute a 90%90 \% confidence interval for the proportion of all depressed individuals taking the drug who find relief. Then find the lower limit and upper limit of the 90%90 \% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)
Lower limit: \square Upper limit: \square

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Problem 3506

A radio tower is to be supported by cables, each bearing a load of 11,000 N11,000 \mathrm{~N}. - If the yield strength of steel is 250 MPa , determine the minimum safe cable diameter, assuming a safety factor of 2 . - If the elastic modulus of steel is 200 GPa and the cable is 10 m long, determine the extension of the cable under this load. - Assuming the cable behaves as a linear elastic material up to its yield strength, calculate the cable's resilience. - Under the same assumption, calculate the yield strain of the cable. - After a severe storm, a cable is found to have broken. Assuming a ductility (\%EL) of 15%15 \% for steel, calculate the length of the broken cable after fracture and the stretched length of the cable just before fracture. - Calculate the true strain in the cable just before fracture. - If the ductility expressed as %RA\% \mathrm{RA} is also 15%15 \%, calculate the cable diameter after fracture.

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Problem 3507

Question 4 of 10 View Policies 0/10 / 1 Show Attempt History
Current Attempt in Progress
X Incorrect.
Please view the following video before answering this question. Lecture Video, Section 5.1, Example 10 If $5,000\$ 5,000 is deposited in an account paying 3.5%3.5 \% compounded monthly, how much will you have in the account in 10 years?
Round the answer to the nearest cent. \ \square$ eTextbook and Media
Save for Later Attempts: 3 of 5 used Submit Answer

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Problem 3508

Your Numbers:A=B=c=D=E=\text{Your Numbers:} \quad \mathbf{A} = \quad B = \quad \mathrm{c} = \quad \mathrm{D} = \quad E = \text{All answers must use Three sig figs! (3 digits) Ex: } \pi = 3.14 \begin{enumerate} \item As shown to the right, a single mass of A\mathbf{A} kg hangs from two strings. The string on the left is at an angle of C\mathbf{C} degrees (that's θ1\theta_{1}). The string on the right is perfectly horizontal, so you could say it has zero angle. \begin{itemize} \item What is the vertical component of tension in T1T_{1}? You're only looking for the vertical component. (hint: T2T_{2} is only horizontal) T_{1y} = \quad \text{(2pts)} \] \item Bonus point: What is the force of tension in \(T_{2}\)? (This takes a couple steps.) T_{2} = \quad \text{(bonus +1)} \] \end{itemize} \end{enumerate}
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
\text{Dialogue Transcript:}
\text{Hello! It looks like you're working on a physics problem involving tension in strings. I'd be happy to help, but it seems like some key information is missing, such as the specific values for A (mass) and C (angle). Could you provide those numbers? Once I have that information, we can start solving the problem.}
\text{Feel free to type them out, and I'll guide you through the steps!}
\text{A = 31 c=38}

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Problem 3509

This is the graph of the equation 23y=12x\frac{2}{3} y=\frac{1}{2} x.
Which ordered pairs are solutions to the equation? Select all that apply. (4,3)(4,-3) (8,6)(8,-6) (0,0)(0,0) (4,3)(-4,-3) (8,6)(-8,6) (4,3)(-4,3)

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Problem 3510

Does the point (3,7)(-3,7) satisfy the equation y=3x2?y=-3 x--2 ? yes no
Submit
Work it out Not feeling ready yet? This can help:
Which xx satişies an equation? (100)

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Problem 3511

1
A preparation SAT test score can be assumed normally distributed with a historical mean of 518 and known standard deviation 114. In a training program, 50 students had an average score of 550 on the preparatory test. Test whether there has been improvement over the historical average. Use a 5%5 \% significance level.
1 What is the value of the TEST STATISTIC?
Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 .

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Problem 3512

What percentage of the quality sample is outside tolerance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Quality Sample } \\ \hline Within Tolerance & 42 units \\ \hline Outside Tolerance & 3 units \\ \hline \end{tabular}
Percentage Outside Tolerance == [?]\%
Round to the nearest percent.

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Problem 3513

In a survey on 50 gas stations in an area, the mean cost of regular gas was $1.95\$ 1.95 per gallon. Was this cost less than the national average cost of $2.00\$ 2.00 where the assumed known standard deviation is $0.20\$ 0.20 per gallon? Use a 1%1 \% significance level. I What is the value of the TEST STATISTIC?
Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 . A

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Problem 3514

In a survey on 50 gas stations in an area, the mean cost of regular gas was $1.95\$ 1.95 per gallon. Was this cost less than the national average cost of $2.00\$ 2.00 where the assumed known standard deviation is $0.20\$ 0.20 per gallon? Use a 1%1 \% significance level.
What is the Table A2 CRITICAL VALUE for the problem? Note Answer Input Format for Critical Values.
Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 1.645 is entered as 1.65,2.3261.65,-2.326 is entered as 2.33,2.054-2.33,2.054 is entered as 2.05,1.2822.05,-1.282 is entered as -1.28

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Problem 3515

I In a survey on 50 gas stations in an area, the mean cost of regular gas was $1.95\$ 1.95 per gallon. Was this cost less than the national average cost of $2.00\$ 2.00 where the assumed known standard deviation is $0.20\$ 0.20 per gallon? Use a 1%1 \% significance level. What is the P-VALUE from Table A2 for testing HO? See two entry formats below.
Note: Two formats possible: 1) Enter LT01 if P-value is less than 0.01 2) Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square A

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Problem 3516

In a survey on 50 gas stations in an area, the mean cost of regular gas was $1.95\$ 1.95 per gallon. Was this cost less than the national average cost of $2.00\$ 2.00 where the assumed known standard deviation is $0.20\$ 0.20 per gallon?
What is the CONCLUSION for HO , assuming a 5%5 \% significance level? REJ = Reject H0, assume H1\mathrm{H1} true. FTR = Fail to Reject H0, assume HO true. CBD = Cannot be Determined.
Note: Enter REJ, FTR or CBD letters. \square A

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Problem 3517

A study time survey is conducted of 39 UGA students and a mean x -bar =110=110 minutes is obtained. Test whether the UGA study times differ from the national average of 120 min ? Assume study times have a normal distribution with a known standard deviation of σ=30\sigma=30 minutes. Use the 5%5 \% significance level.
I What is the value of the TEST STATISTIC?
Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30, . 2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 AA

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Problem 3518

A study time survey is conducted of 39 UGA students and a mean x-bar=110 minutes is obtained. Test whether the UGA study times differ from the national average of 120 min .? Assume study times have a normal distribution with a known standard deviation of σ=30\sigma=30 minutes. Use the 5%5 \% significance level. |Enter the ALTERNATIVE HYPOTHESIS, H1 number.
Note: Enter INGEGER 1, 2 or 3, No decimal for selection: 1) H 1 : mean >120>120 2) H1: mean < 120 3) H1: mean Not Equal To 120

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Problem 3519

In 1990, the value of a home was $170,000\$ 170,000. Since then, its value has increased 5%5 \% per year. a. What was the approximate value of the home in the year 1993?

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Problem 3520

A study time survey is conducted of 39 UGA students and a mean x-bar=110 minutes is obtained. Test whether the UGA study times differ from the national average of 120 min.?120 \mathrm{~min} . ? Assume study times have a normal distribution with a known standard deviation of σ=30\sigma=30 minutes. Use the 5%5 \% significance level.
1 What is the P-VALUE from Table A2 for testing HO? See two entry formats below.
Note: Two formats possible: 1) Enter LTO1 if P-value is less than 0.01 2) Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57

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Problem 3521

A study time survey is conducted of 39 UGA students and a mean x-bar =110=110 minutes is obtained. Test whether the UGA study times differ from the national average of 120 min .? Assume study times have a normal distribution with a known standard deviation of σ=30\sigma=30 minutes. Use the 5%5 \% significance level.
What is the CONCLUSION for HO , assuming a 5%5 \% significance level? REJ = Reject H0, assume H 1 true. FTR = Fail to Reject H0, assume HO true. CBD = Cannot be Determined.
Note: Enter REJ, FTR or CBD letters. \square A

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Problem 3522

(1 point)
If 36(5f(x)+2)dx=5\int_{3}^{6}(5 f(x)+2) d x=5, then 36f(x)dx=\int_{3}^{6} f(x) d x= \square Preview My Answers Submit Answers

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Problem 3523

A health expert advertised that people in their their weight loss program would lose MORE than 10 pounds in two months. Twelve (12) customers had the following weight losses: 13,17,9,15,14,9,13,17,15,12,10,813,17,9,15,14,9,13,17,15,12,10,8
Assume a normal distribution for these data. Test whether the mean weight loss was GREATER than 10 lbs . Use 1%1 \% significance level.
1 What is the value of the TEST STATISTIC? \qquad Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square A

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Problem 3524

Which equation is a point slope form equation for line ABA B ? y+1=32(x4)y+1=\frac{3}{2}(x-4) y+1=23(x4)y+1=-\frac{2}{3}(x-4) y+1=23(x4)y+1=\frac{2}{3}(x-4) y+1=32(x4)y+1=-\frac{3}{2}(x-4)

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Problem 3525

log(z3yx5)=\log \left(\frac{z^{3}}{y \sqrt{x^{5}}}\right)=\square

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Problem 3526

Solve for θ\theta in the interval 0θ<3600^{\circ} \leq \theta<360^{\circ}. If rounding is necessary, round to the nearest tenth of a degree.
1. 2sinθ2=02 \sin \theta-\sqrt{2}=0
2. 5cosθ23=cosθ5 \cos \theta-2 \sqrt{3}=\cos \theta
3. Solve: 2sin2x7cosx=32 \sin ^{2} x-7 \cos x=-3, to the nearest tenth of a degree, in the interval 0θ<3600^{\circ} \leq \theta<360^{\circ}.
4. Find all radian solutions to Sin(Aπ9)=32\operatorname{Sin}\left(A-\frac{\pi}{9}\right)=-\frac{\sqrt{3}}{2}
5. (2sinx1)(2cosx+3)=0(2 \sin x-1)(2 \cos x+\sqrt{3})=0
6. Solve 2sin2θ3cosθ=32 \sin ^{2} \theta-3 \cos \theta=3 to the nearest tenth of a degree in the interval 0θ<3600^{\circ} \leq \theta<360^{\circ}.

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Problem 3527

Solve the equation without using your calculator. (13)x+2=37x2x=\begin{array}{l} \left(\frac{1}{3}\right)^{x+2}=3^{7 x-2} \\ x=\square \end{array}

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Problem 3528

Suppose that n=76\mathrm{n}=76 subjects were put on a low-fat diet with a mean weight loss of x -bar=2.2 kg and a sample standard deviation of s=6.1 kgs=6.1 \mathrm{~kg}. Is there sufficient evidence to conclude that the mean weight loss was greater than 0 ? Use 5%5 \% significance level.
What is the value of the TEST STATISTIC?
Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30, . 2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57

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Problem 3529

Rewrite each equation as requested. (a) Rewrite as an exponential equation. log77=1\log _{7} 7=1 (b) Rewrite as a logarithmic equation. 25=1322^{-5}=\frac{1}{32} (a) \square (b) log=\log _{\square} \square= \square

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Problem 3530

Suppose that n=76\mathrm{n}=76 subjects were put on a low-fat diet with a mean weight loss of x -bar=2.2 kg and a sample standard deviation of s=6.1 kg\mathrm{s}=6.1 \mathrm{~kg}. Is there sufficient evidence to conclude that the mean weight loss was greater than 0 ? Use 5%5 \% significance level.
Would the test statistic change if the significance level changed to 1\%? Note Answer Input Format Below.
Enter YES or NO. AA

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Problem 3531

Suppose that n=76\mathrm{n}=76 subjects were put on a low-fat diet with a mean weight loss of x -bar =2.2=2.2 kg and a sample standard deviation of s=6.1 kg\mathrm{s}=6.1 \mathrm{~kg}. Is there sufficient evidence to conclude that the mean weight loss was greater than 0 ? Use 5%5 \% significance level.
I What is the P-VALUE from calculator for testing HO? See two entry formats below. \qquad Note: Two formats possible: 1) Enter LT01 if P-value is less than 0.01 2) Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square

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Problem 3532

The rental rate for a power washer has a one time fee of $50\$ 50 plus $25\$ 25 for each day of the rental. The graph shows points representing the total cost of the rental.
Which linear equation, in slope-intercept form, models the total cost of the rental over time? y=25xy=25 x y=50x+25y=50 x+25 y=x+50y=x+50 y=75xy=75 x y=25x+50y=25 x+50

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Problem 3533

18. The Pizza Stand gives patrons a free pizza when they collect 8 coupons. How many free pizzas can Mrs. Fowler get if she has 78 coupons? How does the remainder affect the number of free pizzas she gets? How many more coupons does she need for the next free pizza? Explain. 4.AR.1.1

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Problem 3534

An EPA standard requires lead in lake water to be LESS than 4 ppb (parts/billion). A studied lake had 11 samples with a mean of 2.8 ppb and sample standard deviation of 1.9 ppb . The concentration of lead can be assumed normally distributed. Is the lake concentration of lead LESS than the EPA standard? Use 5\% significance level.
1 What is the value of the TEST STATISTIC?
Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square A

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Problem 3535

Name \qquad \qquad Period \qquad Vame. 5.3 IP: Credit Cards
1. Explain in your own words the concept of an interest rate in terms of credit cards. a
2. Explain in your own words the concept of a grace period in terms of credit cards.
3. With a beginning balance of $435\$ 435 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 23.99%23.99 \% and the minimum payment each month is 3%3 \% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below: \begin{tabular}{|c|l|l|l|l|} \hline Month & Carry-Over balance & Finance charge & New balance & Minimum payment \\ \hline 1 & & & & \\ \hline 2 & & & & \\ \hline 3 & & & & \\ \hline 4 & & & & \\ \hline \end{tabular} a. What is the total of the minimum payments? b. What is the total of the finance charges? c. How much does the starting balance decrease after these three payments?

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Problem 3536

Solve the equation. (Round your answers to four decimal places.) e2x9ex+8=0e^{2 x}-9 e^{x}+8=0 x=x= \square (smaller value) x=x= \square (larger value)

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Problem 3537

20. Use an equation to show how to separate 128 into 4 equal groups. Explain how to check the answer multiplication. 4.Nso.2.4

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Problem 3538

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 110 grams of a radioactive isotope, how much will be left after 5 half-lives?
Use the calculator provided and round your answer to the nearest gram. \square grams

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Problem 3539

In a ready to serve dinner preparation study of 10 trials of a new meal, the sample mean time for preparation was 18.5 min . and a sample standard deviation of 5.9 min . Prep time can be assumed normally distributed. Test whether the new meal meets the standard for having a preparation time below the 20 min . standard. Use 1%1 \% significance level.
What is the CONCLUSION for the study if HO: mean=20 min.? 1) Reject HO and conclude preparation time is below 20 min . 2) Fail to Reject HO and conclude the preparation time is below 20 min . 3) Reject HO and conclude the preparation time does not differ from 20 min . 4) Fail to Reject HO and conclude the preparation time does not differ from 20 min . 5) Fail to Reject the alternative H 1 and conclude HO is true. 6) No answer is correct.

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Problem 3540

ϵy=σyE=250×106200×109=0.00125\epsilon_{y}=\frac{\sigma_{y}}{E}=\frac{250 \times 10^{6}}{200 \times 10^{9}}=0.00125
STEP 7 Calculate the length of the broken cable after fracture:  Fracture Length =L+(L×%EL)\text { Fracture Length }=L+(L \times \% \mathrm{EL})
Fracture Length =10+(10×0.15)=11.5=10+(10 \times 0.15)=11.5
Calculate the stretched length just before fracture: etched Length =10+(10×0.15)=11.5 m=10+(10 \times 0.15)=11.5 \mathrm{~m}
STEP 8 Calculate the true strain in the cable just before fracture:
True Strain =ln(1+=\ln (1+ Engineering Strain ))

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Problem 3541

\text{If } y^{x} = x^{y} \text{ then prove } y' = \frac{y^{2}(1-\ln x)}{x^{2}(1-\ln y)} \\

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Problem 3542

A PTA group claimed that FEWER THAN 20\% of teens smoked. In a survey of 200 teens, 30 said that they had smoked. Test the claim at the 5%5 \% significance level. 1 What is the value of the TEST STATISTIC? \qquad Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57 \square A

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Problem 3543

A shopping amount cost $26\$ 26 and sales tax 6. $2.25\$ 2.25 was added to the bill, whal pertestage is the tax rate?
A ticket cost $55\$ 55 and sales tax of $1.15\$ 1.15 was added to the bill, what percentage is the tax rate?

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Problem 3544

Aufgaben: Prozentrechnung Ein Grundstücksmakler berechnet einem Käufer 5\% des Kaufpreises von 120000120000 € als Vermittlungsgebühr. Berechne die Gebühr.

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Problem 3545

14 Mark for Review As \begin{tabular}{|l|l|l|l|} \hline & & & \\ \hline & & & \\ & & & \\ & & & \\ \hlinexx & & & \\ \hlinexx & & & \\ \hlinexx \end{tabular}
The figure above represents a square sheet of cardboard with side length 20 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume VV of a rectangular box is given by V=lwhV=l w h. .)

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Problem 3546

ssignment 30: Test 5 Review Khadijah Daley 11/18/24 3:07 PM Question 10, 8.2.15-T HW Score: 49.84\%, 14.95 of 30 points Part 1 of 4 Points: 0 of 1 Save
A poll of 1160 Americans showed that 47.1%47.1 \% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.10 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P -value method. Use the normal distribution as an approximation to the binomial distribution.
Let pp denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. H0:p VH1:p V\begin{array}{l|l} \mathrm{H}_{0}: \mathrm{p} & \mathrm{~V} \\ \mathrm{H}_{1}: \mathrm{p} & \mathrm{~V} \\ \hline \end{array} (Type integers or decimals. Do not round.)

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Problem 3547

A sample of teenagers found that of the 487 people surveyed, 385 had pictures on their online profiles. It was previously thought that 75%75 \% or MORE of teenagers had profile pictures. Test this hypothesis at the 5%5 \% significance level.
I What is the value of the TEST STATISTIC? \qquad Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 134.784 is entered as 134.78,35.295134.78,35.295 is entered as 35.30,.274935.30, .2749 is entered as 0.27,.56500.27,-.5650 is entered as -0.57

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Problem 3548

x2+6x16=0x^{2}+6 x-16=0

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Problem 3549

Question 1 (1 point) A weight of mass 1.50 kg is vibrating vertically on a spring. If the weight moves from its lowest position to its highest position in 0.39 sec , what is the angular frequency of the weight's oscillation? Give your answer in rad/s to two decimal places. Do NOT include units in your answer.

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Problem 3550

It is intended that if a patient has the disease, they test "positive", and if a patient does not have the disease, they test "negative".
However, the tests are not perfect, and only 99%99 \% of people who have the disease test positive. Also, 2%2 \% of people who do not have the disease test positive.
The tree diagram shows some of this information.
Write down the value of (b.i) aa.

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Problem 3551

A drink manufacturer's design was to fill a bottle to a 10 inch target level. In a sample of 9 bottles, the mean fill level was 8.8 in . with a sample standard deviation of 2.2 in . Fill level can be assumed normally distributed. Did the sample results indicate the mean level DIFFERED from the 10 in . target? Use 5\% significance level.
The below questions will ask for the following information (in a random order required by D2L): 1) Alternative hypothesis H1 selection. 2) Test Statistic for the hypothesis H0 of interest. 3) Critical Value for the H0 test.[Use t-table A3 or invT(p,df)] 4) P-value for H0 test statistic. 5) Rejection/Acceptance decision of HO for given significance level in problem statement. You may wish to perform your calculations in the above standard order. Select the BEST/CLOSEST answer after READING ALL ANSWERS.

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Problem 3552

8. B.E.S.T. TEST PREP The area of the rectangle is 1,875 square feet. What is the width of the rectangle? (A) 18 feet (C) 35 feet (B) 25 feet (D) 115 feet

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Problem 3553

Solve each triangle ABCA B C that exists. A=37.8a=3.5c=15.1A=37.8^{\circ} \quad a=3.5 \quad c=15.1
Select the correct choice below and, if necessary, fill in the answer boxes within the choice. A. There is only one possible solution for the triangle. The measurements for the remaining angles BB and CC and side bb are as follows. B=B= \square C=C= \square { }^{\circ} b=b= \square (Round to the nearest tenth as needed.) B. There are two possible solutions for the triangle. The measurements for the solution with the longer side bb are as follows. B1=C1=\mathrm{B}_{1}=\square^{\circ} \quad \mathrm{C}_{1}= \square b1=b_{1}= \square The measurements for the solution with the shorter side bb are as follows. B2=\mathrm{B}_{2}= \square C2=\mathrm{C}_{2}= \square b2=\mathrm{b}_{2}= \square (Round to the nearest tenth as needed.) C. There are no possible solutions for the triangle.

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Problem 3554

10. Model Real Life A recycling center has 7 26,009 pounds of materials to sort. For efficiency, the materials are divided into boxes that each hold 20 pounds. How many pounds of materials are in the last box?

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Problem 3555

(3) Find ww. 4) S4, Write your answer as a whole number or a decimal. Do not round. 1) 5 x]w=] \mathrm{w}= \square meters

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Problem 3556

Model Real Life A recycling center has 26,009 pounds of materials to sort. For efficiency, the materials are divided into boxes that each hold 20 pounds. How many pounds of materials are in the last box?

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Problem 3557

Un grupo de obreros está alargando una carretera que inicialmente medía 43 millas. Añaden un milla a la carretera cada día. Sea LL la longitud (en millas) después de DD días de construcción. Escribir una ecuación que relacione LL con DD. Luego utilizar esta ecuación para hallar la longitud de la carretera después de 24 días.
Ecuación: \square
Longitud de la carretera después de 24 días: \square millas

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Problem 3558

Find w.
S\$3 Write your answer as a whole number or a decimal. Do not round. [⿻] meters

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Problem 3559

11. What is the solution to 2.5(4x4)=6-2.5(4 x-4)=-6 ?

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Problem 3560

Question 12/2912 / 29
Cefaclor is a medication used for infections. It is often given in liquid form by mixing the powdered medication with a fluid. A pharmacist is mixing a dosage for a child. The instructions indicate that 125 mg of the medication should be mixed with 5 mL of fluid. If the child only requires a dosage of 50 mg of Cefaclor, how much fluid should the pharmacist use? \square mL

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Problem 3561

To find the distance ABA B across a river, a surveyor laid off a distance BC=358 mB C=358 \mathrm{~m} on one side of the river. It is found that B=11010B=110^{\circ} 10^{\prime} and C=1615C=16^{\circ} 15^{\prime}. Find ABA B.
The distance ABA B across the river is \square m (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.)

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Problem 3562

Solve for yy. (y2)2=2y212y+16(y-2)^{2}=2 y^{2}-12 y+16
If there is more than one solution, separate them with commas.

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Problem 3563

Question 8 of 28
Balance the following chemical equation (if necessary): Na3PO4(aq)+MgCl2(aq)Mg3(PO4)2( s)+NaCl(aq)\mathrm{Na}_{3} \mathrm{PO}_{4}(\mathrm{aq})+\mathrm{MgCl}_{2}(\mathrm{aq}) \rightarrow \mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}(\mathrm{~s})+\mathrm{NaCl}(\mathrm{aq}) \square 4- 33^{-} 2{ }^{2-} \square^{-} \square ++ 2+2^{+} 3+3^{+} 4+ 1 2 3 4 5 6 7 8 9 1\square_{1} 2 3\square_{3} 4\square_{4} 5\square 5 6\square 6 \square 7 8 \square \square 0 (s) (I) (g) (aq) Na Cl 0 P Mg

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Problem 3564

Balance the following chemical equation (if necessary): Ca(C2H3O2)2(aq)+Na2CO3(aq)CaCO3( s)+NaC2H3O2(aq)\mathrm{Ca}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)_{2}(\mathrm{aq})+\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{aq}) \rightarrow \mathrm{CaCO}_{3}(\mathrm{~s})+\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}(\mathrm{aq}) 4{ }^{4-} 3{ }^{3-} 22^{-} - + 2+{ }^{2+} 3+\square^{3+} 4+ 1 2 3 4 5 6 7 8 9 1\square_{1} 2 3\square_{3} 4 5 \square 7\square_{7} 8\square_{8} 9\square 9 9 (s) (I) (g) (aq) Na2CO3\mathrm{Na}_{2} \mathrm{CO}_{3} CaCO3\mathrm{CaCO}_{3} NaC2H3O2Ca(C2H3O2)\mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \mathrm{Ca}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right) 自 - xH2Ox \mathrm{H}_{2} \mathrm{O}

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Problem 3565

Balance the following chemical equation (if necessary): Al(NO3)3(aq)+Na3PO4(aq)AlPO4( s)+NaNO3(aq)\mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}(\mathrm{aq})+\mathrm{Na}_{3} \mathrm{PO}_{4}(\mathrm{aq}) \rightarrow \mathrm{AlPO}_{4}(\mathrm{~s})+\mathrm{NaNO}_{3}(\mathrm{aq}) 4{ }^{4-} 33^{-} 2{ }^{2-} \square^{-} +\square^{+} 2+{ }^{2+} 3+{ }^{3+} 4+ 1 2 3 4 5 6 7 8 9 0 1 2 3\square_{3} 3 4 5 6\square_{6} 7\square_{7} 8\square_{8} 9\square 9 \square 0 Al Na (s) (I) (g) (aq)

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Problem 3566

UNIT 5 LESSON 14 Complex Numbers Complex Numbers Unit Test
Complex Numbers Unit Test
One of the solutions to the equation x3+5x2+10x+50=0x^{3}+5 x^{2}+10 x+50=0 is -5 . Find the full solution set. Which of the following options correctly describes the solution set?
Option \#1: It has one real solution and two non-real solutions. Option \#2: It has one non-real solution and two real solutions. Option \#3: It has three real solutions. (1 point)

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Problem 3567

c. Is there statistically significant evidence of a difference in the mean amount purchased by all visitors to page AA and page BB ? \qquad Why or why not? A large test stats
2. You also can find the tt-statistic on StatCrunch. If you are given summary statistics, go to Stat >> T Stats >> Two Sample >> With Summary. p-value

To test if two populations have different means, a random sample of 74 people from the first population had a mean of 17.3 standard deviation of 4.1. A random sample of 83 people from the second population had a mean of 19.2 and standard deviation of 3.7 . Use these summary statistics to compute tt and the p-value on StatCrunch. Round to four decimal places. t=t= \qquad p -value == \qquad 70

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Problem 3568

22e7x+6dx\int_{-2}^{2} e^{7 x+6} d x

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Problem 3569

Khadijah Daley 11/18/24 4:03 PM gnment 30: Test 5 Review Question 20, 9.2.11-T HW Score: 81.14\%, 24.34 of 30 points Part 1 of 7 Points: 0 of 1 Save
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1):n=27,xˉ=0.55,s=0.89\left(\mu_{1}\right): n=27, \bar{x}=0.55, s=0.89 Reduction in Pain Level After Sham Treatment (μ2):n=27,xˉ=0.51,s=1.51\left(\mu_{2}\right): n=27, \bar{x}=0.51, s=1.51 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo).
What are the null and alternative hypotheses? A. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} B. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1>μ2H_{1}: \mu_{1}>\mu_{2} C. H0:μ1μ2H_{0}: \mu_{1} \neq \mu_{2} H1:μ1μ2H_{1}: \mu_{1} \neq \mu_{2} H1:μ1<μ2H_{1}: \mu_{1}<\mu_{2} D. H0:μ1<μ2H_{0}: \mu_{1}<\mu_{2} H1:μ1μ2H_{1}: \mu_{1} \geq \mu_{2} View an example Get more help - Clear all Check answer

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Problem 3570

nowledge Check tuestion 16 ture is made of solid steel in the shape of a cone. The sculpture is 60 inches tall, and its base has a radius of 11 inches. If steel costs $0.45\$ 0.45 per cc ow much did the steel for the sculpture cost?
14 for π\pi, and do not round your answer.

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Problem 3571

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What sample size should be obtained if he wants to be within 4 percentage points with 95%95 \% confidence if he uses an estimate of 54%54 \% obtained from a poll?
The sample size is 597 . (Round up to the neares integer.) (b) What sample size should be obtained if he wants to be within 4 percentage points with 95%95 \% confidence if he does not use any prior estimates?
The sample size is \square. (Round up to the nearest integer.)

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Problem 3572

Bestimme die lineare Funktionsgleichung, die durch die Punkte P1(4,3) und P2(3,1) verla¨uft.\text{Bestimme die lineare Funktionsgleichung, die durch die Punkte } P_1(4, 3) \text{ und } P_2(3, 1) \text{ verläuft.}

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Problem 3573

Spiral Review \#10 1 of 10
A restaurant buys the eggs it uses from a farmer. - The cost to buy 50 dozen eggs from the farmer is $109.50\$ 109.50. - The restaurant buys 8 dozen eggs each day from the farmer . - The restaurant buys the eggs 7 days each week.
Which equation can be used to determine the total amount ( yy ), in dollars, the restaurant spends on the eggs it buys from the farmer for xx weeks? y=122.64xy=122.64 x y=109.50x+56y=109.50 x+56 y=122.64x+56y=122.64 x+56 y=109.50xy=109.50 x 1 2 3 4 5 6 7 8 9 10 Next sign out Nov 18 5:09 US

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Problem 3574

Find the xx - and yy-intercepts of the graph of 3x+y=6-3 x+y=6. State each answer as an integer or an improper fraction in simplest form.
Answer Attempt 1 out of 2 x-intercept: \square y-intercept: \square

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Problem 3575

The equation of line cc is y=5x25y=5 x-\frac{2}{5}. Line dd is parallel to line cc and passes through (2,6)(2,6). What is the equation of line dd ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. y=5xy=5 x 믐 Submit Work it out Not feeling ready yet? These can help: Slopes of parallel and perpendicular lines (100) ð Slope-intercept form: write an equatio Point-slope form: write an equation (92) I Linear equations: solve for y(100)y(100) Search

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Problem 3576

Spiral Review \#10 3 of 10
Bobby had a certain amount of money in his savings account and he recently deposited $230.50\$ 230.50 more into the account. His balance after the deposit is $1,265.75\$ 1,265.75. Which equation represents this situation and could be used to find Bobby's original balance before his most recent deposit? 230.50+1,265.75=s230.50+1,265.75=s 230.501,265.75=s230.50-1,265.75=s s230.50=1,265.75s-230.50=1,265.75 s+230.50=1,265.75s+230.50=1,265.75 1 2 3 4 5 6 7 8 9 10 Next

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Problem 3577

OL Cambridge - 0580 Q67 - June 2022 P42 98 Mathematics - P4 CH2-Algebra (c) Solve. 1x3+42x+3=1\frac{1}{x-3}+\frac{4}{2 x+3}=1

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Problem 3578

L. 19 Write an equation for a parallel or perpendicular line 5SH
Line cc has an equation of y=15x3y=\frac{1}{5} x-3. Line dd, which is parallel to line cc, includes the point (1,1)(-1,1). What is the equation of line dd ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. y=15xy=\frac{1}{5} x
믐 Submit
Work it out Not feeling ready yet? These can help:

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Problem 3579

If 2 workers complete a task in 4 hours, how many people can complete a task in 2 hours

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Problem 3580

L. 19 Write an equation for a parallel or perpendicular ine
The equation for line gg can be written as y8=2(x4)y-8=-2(x-4). Line hh is parallel to line gg and passes through (5,1)(-5,1). What is the equation of line hh ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. \square
Submit
Work it out Not feeling ready yet? These can help: Slopes of parallel and perpendicular lines (100) Slope-intercept form: write an equa Point-slope form: write an equation (92) II Linear equations: solve for y(100)y(100)

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Problem 3581

The equation of line rr is y6=14(x8)y-6=\frac{1}{4}(x-8). Line ss is parallel to line rr and passes through (8,8)(8,8). What is the equation of line ss ? Write the equation in slope-intercept form. Write the numbers in the equation as simplifie proper fractions, improper fractions, or integers. \square
Submit

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Problem 3582

What is the correct equation for this line in point slope form? 14(x3)=x2\frac{1}{4}(x-3)=x-2 14(x3)=x2-\frac{1}{4}(x-3)=x-2 14(x2)=x3-\frac{1}{4}(x-2)=x-3 14(x2)=x3\frac{1}{4}(x-2)=x-3 Slope: - 1/41 / 4 Point (2,3)(2,3) D. Plug this slope in to the point-slope formula and write an equation for the line of best fit. (π)(xx)=y(\pi)(x-\sqrt{x})=y \qquad SUBMIT

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Problem 3583

signment 30: Test 5 Review Question 22, 9.2.19-T 11/18/24 4:17 PM Part 1 of 6 HW Score: 84.65\%, 25.4 of 30 points Points: 0 of 1 Save
Listed in the accompanying table are weights (lb) of samples of the contents of cans of regular Coke and Diet Coke. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) to (c). Click the icon to view the data table of can weights. a. Use a 0.10 significance level to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
What are the null and alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke. A. H0:μ1μ2H_{0}: \mu_{1} \leq \mu_{2} B. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1>μ2H_{1}: \mu_{1}>\mu_{2} H1:μ1>μ2\mathrm{H}_{1}: \mu_{1}>\mu_{2} C. H0:μ1μ2H_{0}: \mu_{1} \neq \mu_{2} D. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1>μ2H_{1}: \mu_{1}>\mu_{2}
Can weights View an example Get r \begin{tabular}{|c|c|} \hline Regular Coke & Diet Coke \\ \hline 0.81917 & 0.77731 \\ \hline 0.81498 & 0.77580 \\ \hline 0.81628 & 0.78962 \\ \hline 0.82108 & 0.78680 \\ \hline 0.81808 & 0.78439 \\ \hline 0.82472 & 0.78614 \\ \hline 0.80622 & 0.78056 \\ \hline 0.81284 & 0.78303 \\ \hline \end{tabular} Clear all Check answer

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Problem 3584

The given line passes through the points (0,3)(0,-3) and (2,3)(2,3).
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (1,1)(-1,-1) ? x+1=3(x+1)x+1=-3(x+1) v+1=13(x+1)v+1=-\frac{1}{3}(x+1) y+1=13(x+1)y+1=\frac{1}{3}(x+1) y+1=3(x+1)y+1=3(x+1)

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Problem 3585

L 19 Write an equation for a parallel or perpendicular line 5 SH
The equation for line vv can be written as y=97x5y=-\frac{9}{7} x-5. Line ww, which is perpendicular to line vv, includes the point (9,6)(9,6). What is the equation of line ww ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. \square
Submit
Work it out Not feeling ready yet? These can help:
Slopes of parallel and perpendicular lines (100) Slope-intercept form: write an equation (100)

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Problem 3586

52.365 d) 53.365
13. Which is the solution to the equation below? y÷2.5=1.95\mathrm{y} \div 2.5=1.95. a) y=4.875y=4.875 b) y=48.75y=48.75 c) y=0.78y=0.78 d) y=4.875y=4.875

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Problem 3587

1.5 Promissory Notes 1) The maturity value of a 280 day non-interest bearing promissory note is $5,554.84\$ 5,554.84. What would the proceeds of the note be 100 days after it was issued if the interest rate is 9.75%9.75 \% ?

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Problem 3588

4+3r+1=5r-4+\sqrt{3 r+1}=\sqrt{5-r}

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Problem 3589

14. Which is the solution to the equation below? x4.21=6.047x-4.21=6.047 a) x=10.247x=10.247 b) x=1.837x=1.837 c) x=10.68x=10.68 d) x=10.257x=10.257

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Problem 3590

L. 19 Write an equation for a parallel or perpendicular line 5SH
The equation for line uu can be written as y=2x+10y=-2 x+10. Line vv, which is parallel to line uu, includes the point (1,2)(-1,2). What is the equation of line vv ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. \square Submit Next up Done for now? Try these next:

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Problem 3591

Line kk has an equation of y10=25(x10)y-10=-\frac{2}{5}(x-10). Line \ell includes the point (4,3)(4,3) and is perpendicular to line kk. What is the equation of line \ell ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. \square
Submit
Next up Done for now? Try these next:

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Problem 3592

Line cc has an equation of y=5x+3y=-5 x+3. Parallel to line cc is line dd, which passes through the point (2,6)(2,-6). What is the equation of line dd ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. \square Submit Next up Done for now? Try these next: Find the distance between a point and a line Search

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Problem 3593

2,457÷3=2,457 \div 3=

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Problem 3594

L. 15 Point-slope form: write an equation PPE
The points (8,2)(-8,2) and (1,7)(1,7) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. \square \square Submit Next up Done for now? Try these next: (4) Find the equations for the asymptotes of a hyperbola Search

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Problem 3595

Find the percent of increase or decrease. 1) Find the percent of change from 688 qt to 172 qt . \qquad 2) Find the percent of change from 160 cups to 404 cups. \qquad 3) Find the percent of change from 800 oz to 550 oz . \qquad 4) Find the percent of change from 3,690ft3,690 \mathrm{ft} to 31,365ft31,365 \mathrm{ft}. \qquad 5) Find the percent of change from 1,096gal1,096 \mathrm{gal} to 137 gal . \qquad

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Problem 3596

Part 2 of 2
A 150-gram bag of berries is a mixture of raspberries and blueberries. If 80%80 \% of the bag is raspberries, how many grams of blueberries are in a bag? Draw a double number line diagram to show how to find the answer.
Choose the double number line diagram that shows how the answer can be found. A. C. B. D.
View an example Video Get more help - Clear all Final check Ouestion 21 of 23 Back

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Problem 3597

Let's go to the movies: A random sample of 42 Hollywood movies made in the last 10 years had a mean length of 111.7 minutes, with a standard deviation of 13.8 minutes.
Part: 0/20 / 2
Part 1 of 2 (a) Construct a 90%90 \% confidence interval for the true mean length of all Hollywood movies in the last 10 years. Round the answers to at least one decimal place. A 90%90 \% confidence interval for the true mean length of all Hollywood movies made in the last 10 years is \square <μ<<\mu< \square .

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Problem 3598

Higher Order Thinking Chris needs to find the product of two numbers. One of the numbers is 11 . The answer also needs to be 11 . How will Chris solve this problem? Explain.

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Problem 3599

MatnXL for School: Additional Practice (LMS graded)
Rose's apartment has 1,530ft21,530 \mathrm{ft}^{2} of walls. She hired a contractor to paint 1,071ft21,071 \mathrm{ft}^{2} of the walls. How much of Rose's apartment did NOT get painted?
Choose the correct answer below. A. 65%65 \% B. 70%70 \% C. 40%40 \% D. 30%30 \%

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Problem 3600

Write the sentence as an equation. 126 less than the quantity uu times 227 is the same as 255
Type a slash ( / ) if you want to use a division sign. \square Submit

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