On a number line, evaluate the truth of these statements about points A (-5), B (-4), C (-2.5), and D (1.75): 1. B = -2.5, D = 1.75, and 1.75 > -2.5 2. A = -4, D = 1, and -4 < 1 3. B = -2.5, D = 1.75, and 1.75 < -2.5 4. B = 2.5, D = 1.75, and 2.5 > 1.75
Lovis organise un spectade musical, ses dépences sélevent à 3800\−Lesbillelspouracultessevendront25$,Jandquelesbilletspourenfantseront12 \$$-Louis prévoit qu'il y aura deux fois plus adultes que enfants. écrits une inequation qui petmeltra à $L$ uis de vérifier s'il couvira qu moins ses dépenges à láide de ses revenus.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 64.4 for a sample of size 26 and standard deviation 19.4. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Assume the data is from a normally distributed population.
Enter your answer as a tri-linear inequality accurate to three decimal places.
□<μ<□
\text{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).} \\ \text{a. Use a 0.01 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.} \\ \text{What are the null and alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke.} \\ \begin{itemize}
\item \text{A. } H_{0}: \mu_{1} \leq \mu_{2} \quad H_{1}: \mu_{1}>\mu_{2}
\item \text{B. } H_{0}: \mu_{1} \neq \mu_{2} \quad H_{1}: \mu_{1}>\mu_{2}
\item \text{C. } H_{0}: \mu_{1}=\mu_{2}
\item \text{D. } H_{0}: \mu_{1}=\mu_{2} \quad H_{1}: \mu_{1}>\mu_{2}
\end{itemize} \text{The test statistic is } \square \text{ (Round to two decimal places as needed.)} \\ \text{The P-value is } \square \text{ (Round to three decimal places as needed.)} \\ \text{State the conclusion for the test.} \\ \begin{itemize}
\item \text{A. Reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.}
\item \text{B. Reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.}
\item \text{C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.}
\item \text{D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that}
\end{itemize} \begin{tabular}{|c|c|c|}
\hline
& \text{Regular Coke} & \text{Diet Coke} \\
\hline
1 & 0.81922 & 0.77732 \\
\hline
2 & 0.81502 & 0.77583 \\
\hline
3 & 0.81528 & 0.78963 \\
\hline
4 & 0.8211 & 0.78681 \\
\hline
5 & 0.8181 & 0.78436 \\
\hline
6 & 0.82472 & 0.7861 \\
\hline
7 & 0.80618 & 0.78062 \\
\hline
8 & 0.81235 & 0.78302 \\
\hline
9 & 0.81715 & 0.78319 \\
\hline
10 & 0.80936 & 0.7863 \\
\hline
11 & 0.83103 & 0.78013 \\
\hline
12 & 0.83103 & \\
\hline
\end{tabular}
Dexter caught 9 fireflies, which is fewer than the number of fireflies Jenna caught.
On the number line, plot the points that could represent the number of fireflies Jenna caught in the park.
2 A cat adoption facility takes in an average of 6 cats per day. The facility has to keep their cat occupancy below 300 . Currently, the facility has 252 cats. If none of their cals get adopted, how many more days, x, can the facility continue to take in cats?
14. Georgia attempted to present a graphical solution of the inequality −2x+5<y to a group of her friends. Her attempt is shown on the right. Which of the following statements are correct?
A. She has correctly used a solid line and has the correct region shaded.
B. She has correctly used a solid line, but has the incorrect region shaded.
C. She has incorrectly used a solid line and has the incorrect region shaded.
D. She has incorrectly used a solid line, but has the correct region shaded.
8. A $1000 investment earns interest at a rate of 4.2% per annum, compounded monthly. Another investment of $1600 earns interest at a rate of 3.6% per annum, compounded semi-annually. How long, if ever, will it take for the lower initial investment to be worth more than the higher one?
b) y<−2x+1 8 pour chacune des fonctions suivantes:
1) représentez graphiquement chaque situation;
2) déterminez son domaine, son codomaine, son ou ses abscisses à l'origine, son ordonnée à l'origine, son signe, sa variation et ses extremums, s'il y a lieu.
a) f(x)=−2[0,5(x−3)]−1
b) g(x)=(x+0,5)2+2
1)
1)
2) Domaine: 2) Domaine:
Codomaine:
Abscisses à l'origine:
Ordonnée à l'origine:
Signe:
Codomaine:
Abscisses à l'origine:
Ordonnée à l'origine:
Signe:
Variation:
Variation: Extremum:
Extremum:
GARDER LE
a) Qual è il più piccolo numero con due cifre decimali che soddisfa la condizione n≥4,2 ?
b) Quale numero sulla retta si trova alla stessa distanza dai numeri 0,53 e 0,56 ?
Identify the error in solving 4x≥−84. Correct the solution set and explain the mistake. Solution set: (−∞,−21] Options:
A. Reversed inequality when dividing by positive.
B. Incorrect division; negative divided by positive is positive.
C. Didn't reverse inequality when dividing negative by positive.
D. Incorrect division; should divide by -84.
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Homework \#5: 9(1,3,4,5) 14(1,2)
Question 3 of 30 (1 point) I Question Attempt: 1 of 3
Jonathan
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12 A certain model of car can be ordered with either a large or small engine. The mean number of miles per gallon for cars with a small engine is 7.5 . An automotive engineer thinks that the mean for cars with the larger engine is lower than this. State the appropriate null and alternate hypotheses. The null hypothesis is H0:μ (Choose one) □ . The alternate hypothesis is H1:μ□ (Choose one) □
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.
Claim: μ≥8300;α=0.10 Sample statistics: xˉ=8100,s=460,n=25 What are the null and alternative hypotheses?
A. H0:μ=8300 B. H0:μ=8300Ha:μ=8300Ha:μ=8300
C. H0:μ≥8300 D. H0:μ≤8300Ha:μ<8300Ha:μ>8300 What is the value of the standardized test statistic?
The standardized test statistic is □ (Round to two decimal places as needed.)
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 14.1 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At α=0.05, can the company support the researcher's claim? Complete parts (a) through (d) below.
D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H0 and Ha.
H0:μ1≥μ2Ha:μ1<μ2
(b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z0=□
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Question 1 (2 points)
Saved A brand of potato chips has an average weight of 300 g . A random sample of 56 potato chip bags has an average weight of 310 g and a standard deviation of 5 g . Is there enough evidence, at the 0.02 level of significance to say that the mean weight of the potato chips is not equal to 300 g ? Select the correct null and alternative hypothesis. Two-tail:
H0:μ=300 grams, and H1:μ=300 grams Left-tail
H0:μ≥300 grams, and H1:μ<300 grams Right-tail
H0:μ≤300 grams, and H1:μ>300 grams
In England, people use mile per hour as a unit of speed on roads. In Egypt, we use kilometer per hour on roads.
In physics class, students tried to compare the speeds indicated
20
MPH
in these signs with the SI unit of speed. Which of students' attempts is correct? A −20km/h>20MPH>20m/s
B- 20MPH>20km/h>20m/s
C. 20m/s>20km/h>20MPH D- 20m/s>20MPH>20km/h