Math

Problem 40001

Calculate the product of 921 and 33.

See Solution

Problem 40002

Identify the logical law shown: If you miss practice, you won't start. You missed practice, so you won't start.

See Solution

Problem 40003

Create a new conditional statement using the Law of Syllogism from these true statements:
1. If a figure is a rhombus, then it is a parallelogram.
2. If a figure is a parallelogram, then it has two pairs of parallel sides.

See Solution

Problem 40004

A group has \$46.75 for parking (\$5.75) and tickets (\$10.25 each). How many can attend the amusement park?

See Solution

Problem 40005

A rock is thrown up at 12 m/s from a 42 m cliff. When is it 12 m above ground? Round to two decimal places.

See Solution

Problem 40006

What was the hourly labor cost if Serenity paid $\$ 309.50$ total, with $\$ 62$ for parts and 4.5 hours of work?

See Solution

Problem 40007

Identify the logic law shown: If $x>12$ , then $x+9>20$ . Given $x=14$ , confirm $x+9>20$ .

See Solution

Problem 40008

Amira spends \$51.40 total, \$6.18 on cookies, and buys 7 equal bags of onions. Find the cost per bag of onions.

See Solution

Problem 40009

Find the central angle $\theta$ in radians given $\mathrm{s}=12 \mathrm{~cm}$ and $\mathrm{r}=4 \mathrm{~cm}$ . $\theta=$

See Solution

Problem 40010

Find the radius of a circle with a central angle of $30^{\circ}$ that intercepts an arc of length $17 \mathrm{mi}$ . Radius in terms of $\pi$ .

See Solution

Problem 40011

Compare the initial fees of Carrier A (total costs: \ $500 for 3 months, \$650 for 6 months) and Carrier B ($ y=55x+300$).

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Problem 40012

Identify the line of fit among $y=1.6 x+1.75$ , $y=4.25 x+1.75$ , $y=4.4 x+1.75$ , $y=3.3 x+1.75$ . Estimate $y$ for $x=15$ .

See Solution

Problem 40013

Find the number of seats per row in a rectangular auditorium with 2184 seats, where seats exceed rows by 17.

See Solution

Problem 40014

Find the line of best fit for Florida's population $y$ (in millions) after 2013, using years $x$ . Round slope to 3 decimal places and $y$ -intercept to 2 decimal places.

See Solution

Problem 40015

For the function $f(x)=x^{2}+6x$ , find if it opens up or down, and determine the vertex and intercepts.

See Solution

Problem 40016

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

See Solution

Problem 40017

Which number is closest to $\sqrt{66}$ ? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

See Solution

Problem 40018

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

See Solution

Problem 40019

Find the function $g(x)$ that results from a vertical shrink of $f(x)=2x+6$ by a factor of $\frac{1}{2}$ .

See Solution

Problem 40020

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

See Solution

Problem 40021

Find the function $g(x)$ that represents a horizontal shrink of $f(x)=|2x|+4$ by a factor of $\frac{1}{2}$ .

See Solution

Problem 40022

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

See Solution

Problem 40023

You're comparing phone costs from two carriers. Carrier A's costs for months $x$ are: 3 months: \ $500, 6 months: \$650, 9 months: \$800, 12 months: \$950, 15 months: \$1100. Carrier B's cost is given by$ y=55x+300$.
1. Which carrier has a lower initial fee?
2. When do total costs equal for both carriers?

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Problem 40024

Find the function $g(x)$ that represents a horizontal stretch of $f(x)=|x+3|$ by a factor of 4.

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Problem 40025

Find the length of each edge of a square mirror with an area of 25 square feet.

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Problem 40026

Key Club students at Peconic High made trips to Echo Beach.
a. Total students? b. Find mean, median, mode, range, variance, and standard deviation (round to 1 decimal). c. For a normal distribution with mean 6.2 and SD 2, what % went >8 times? (round to nearest %) d. What % went 5-7 times? (round to nearest %)

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Problem 40027

Shannon's train fares from NYC to D.C. are: 49, 88, 119, 133, 161, 173, 272. Find the percentile ranks for \$119 and \$272, then identify the fare with a rank of about 82\%.

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Problem 40028

The height of a building is proportional to floors. For 9 floors, height is 135 ft.
a. Find the height-to-floors ratio and its unit rate. Explain its meaning.
b. What would be the height for 15 floors?

See Solution

Problem 40029

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

See Solution

Problem 40030

Simplify the expression: $-3(1-3 x)+2 x$ .

See Solution

Problem 40031

Find the probability of getting at least one question wrong when guessing on 5 multiple choice questions ( $P(\text{at least 1 wrong})$ ).

See Solution

Problem 40032

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

See Solution

Problem 40033

Determine which scenario requires permutations to count the arrangements: A, B, C, or D.

See Solution

Problem 40034

Kate has $\frac{2}{3}$ gallon of popcorn. How many $\frac{1}{6}$ -gallon bags can she fill? Show $\frac{2}{3}$ in 3 ways.

See Solution

Problem 40035

Calculate the expected winnings when rolling a die: win \$25 for even, \$5 for second even, lose for odd.

See Solution

Problem 40036

Simplify the expression: $4x + 4 - 1 + 3x$ .

See Solution

Problem 40037

Simplify the expression: $-2(7-2x)$ .

See Solution

Problem 40038

Calculate total sample size ( $n$ ), sum of sample values ( $\Sigma x$ ), and sum of squared values ( $\sum X^{2}$ ) for given data.

See Solution

Problem 40039

Create frequency distribution tables for scores from 'Low Number-Talk Parents' ( $2,1,2,3,4,3,3,2,2,1,5,3,4,1,2$ ) and 'High Number-Talk Parents' ( $3,4,5,4,5,4,2,3,5,4,5,3,4,5,4$ ).

See Solution

Problem 40040

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

See Solution

Problem 40041

Round 92 to the nearest hundred and show your reasoning on a number line. $92 \approx$

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Problem 40042

Round 3,492 to the nearest hundred using a number line. What is the result? $3,492 \approx$

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Problem 40043

Predict heart weight (g) from body weight (kg) using regression.
(i) (a) Model: $\hat{y}=-0.339+4.028 x$ (b) Intercept: Expected heart weight at 0 kg is $-0.339$ g. (c) Slope: Each kg increases heart weight by 4.028 g. (d) $R^{2}$ : Body weight explains $64.65\%$ of heart weight variability. (e) Correlation coefficient: $0.8049$

See Solution

Problem 40044

Calculate expected values under the null hypothesis for party affiliation and support of full-body scans.
(a) Expectation for Republicans not supporting: $48$ (b) Expectation for Democrats supporting: $?$ (c) Expectation for Independents unsure: $22$

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Problem 40045

Calculate $-111(9)-11$ .

See Solution

Problem 40046

Analyze responses from 825 voters on oil drilling in CA. Perform a chi-square test for college grads vs non-grads at $\alpha = 0.05$ . State hypotheses, calculate test statistic (2 decimal places), and find $p$ -value (3 decimal places). Note data discrepancies.

See Solution

Problem 40047

Write the nuclear equation for beta decay of ${ }_{82}^{210} \mathrm{~Pb}$ . Options include:
1. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }^{2}{ }_{-1}^{0} \beta+{ }_{84}^{210} \mathrm{Po}$
2. None of these
3. ${ }_{82}^{210} \mathrm{~Pb}+{ }_{-1}^{0} \beta \longrightarrow{ }_{81}^{210} \mathrm{Tl}$
4. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }_{-1}^{0} \beta+{ }_{84}^{210} \mathrm{At}$
5. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }_{2}^{4} \beta+{ }^{2010} \mathrm{Hg}$
6. ${ }_{82}^{210} \mathrm{pb} \longrightarrow{ }^{0} \beta+{ }^{210} \mathrm{p} i$
7. ${ }^{210} \mathrm{~Pb}, \frac{110+210}{811}$

See Solution

Problem 40048

Find the sum of the weighted average and the mode of these home costs: 6 homes at \$65000, 8 homes at \$85000, 6 homes at \$105000.

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Problem 40049

1. What is $6 \times 7$ ?
2. Round 87 to the nearest ten.

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Problem 40050

What is $365 + 249$ ?

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Problem 40051

A store owner has 57.4 pounds of candy. If he divides it into 7 boxes, how many pounds will each box contain?

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Problem 40052

What is $6 \times 7$ ?

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Problem 40053

Divide 9.13 by 0.58 and round the answer to the nearest hundredth.

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Problem 40054

John worked 5.9 hours daily for 5 days. Calculate the total hours worked: $5.9 \times 5$ .

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Problem 40055

Find the value of the box in the equation $19+\square=41$ .

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Problem 40056

Lisa spent \$8.74 on grapes at \$0.76 per pound. How many pounds did she buy?

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Problem 40057

Find the value of $x$ in the equation $5 \times x = 35$ .

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Problem 40058

What is $30 \div 5$ ?

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Problem 40059

Survey skiers' preferences for ski areas. Test if preference is independent of skill level at $\alpha=0.05$ . Find test statistic and $p$ -value.

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Problem 40060

What percent of the 30 computers (14 desktops and 16 laptops) are laptops?

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Problem 40061

Find an increasing exponential function with the same vertical intercept as $f(x)=0.3x+2$ when $x=0$ .

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Problem 40062

Kai rides his bike $1850 \mathrm{~m}$ in $30 \mathrm{~min}$ . Find his average speed in km/h.

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Problem 40063

A bacterial colony of 1000 doubles in 12 hours. Find growth rate $k$ and time to reach 200,000 bacteria.

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Problem 40064

Find the number of elements in Region III of a Venn diagram with sets A, B, and C given their sizes and intersections.

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Problem 40065

What percent of 30 computers are working if 3 are out of service?

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Problem 40066

Convert 7788 milligrams to kilograms. Use the conversion: 1 kg = 1,000,000 mg.

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Problem 40067

What is the probability that Myra picks a metallic blue bracelet from 22 total bracelets: 11 gold, 6 emerald, and the rest blue?

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Problem 40068

An outdoor concert arena's attendance drops with snow. Analyze data and answer:
(a) Is a linear model appropriate? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance for 9.1 inches of snow.

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Problem 40069

Wu saved \$75 for a \$250 bike. What percent of the bike's cost has he saved?

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Problem 40070

What percent tip did Mr. McCoy leave if he tipped \$14.40 on an \$80.00 meal?

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Problem 40071

Simplify the expression: $\frac{x-5}{x^{2}-6 x+5}$ .

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Problem 40072

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

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Problem 40073

Find $\sec(60^{\circ})$ and $\csc(60^{\circ})$ using their definitions as reciprocals of cosine and sine.

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Problem 40074

Complete the trigonometric table for $30^{\circ}$ and verify if " $45^{\circ}$ " in $\sin(\theta)$ is an error.

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Problem 40075

Order 549 apples, 498 oranges, and 794 pears from greatest to least, then round each to the nearest hundred.

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Problem 40076

Solve for $b_{2}$ in the equation $A=\frac{1}{2} h(b_{1}+b_{2})$ .

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Problem 40077

Identify the missing particle in the nuclear equation: $_{10}^{43} \mathrm{~K} \rightarrow{ }_{20}^{43} \mathrm{Ca}+?$

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Problem 40078

List four binary ionic compounds from $\mathrm{Fe}^{2+}, \mathrm{Ni}^{4+}, \mathrm{Br}^{-}, \mathrm{S}^{2-}$ .

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Problem 40079

Round the following numbers to the nearest tens: 63, 35, 821.

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Problem 40080

Jane saved \$800. Her sister has 10 times that. How much does Jane's sister have? Explain your reasoning.

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Problem 40081

Matthew has 30 stamps. If his father has 10 times that, how many stamps does his father have?

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Problem 40082

Calculate the expression: $2^{5}(5-6)+9 \div 3$ .

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Problem 40083

Calculate $915 - 547$ .

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Problem 40084

Find $x$ from $C=85x+60$ . How many trips if $C=\$ 315$ and $C=\$ 485$ ?

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Problem 40085

What is 475 rounded to the nearest hundred?

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Problem 40086

Identify the hyphen notation for the element with 15 electrons and 15 neutrons: 1. phosphorus-30 2. silicon-30 3. $\sin 0-60$ 4. vinospliomestal 5. flicrine-15 6. sulfur-3 7. oxyentistis

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Problem 40087

Explain your solution for $10 \times 4$ thousands using a place value chart.

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Problem 40088

Calculate the y-values for the equation $y^{2}=x$ using x-values 3 and 7.

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Problem 40089

Joy reads a 352-page novel: $\frac{3}{8}$ on Monday, 28 pages Tuesday, $\frac{1}{4}$ Wednesday. How many pages left?

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Problem 40090

Joy reads $\frac{3}{8}$ of a 352-page novel, then 28 pages, and $\frac{1}{4}$ on Wednesday. How many pages left?

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Problem 40091

What melide is formed when $^{50} \mathrm{Sr}$ undergoes $\beta$ decay?

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Problem 40092

Explain the pattern of zeros in the products of $6 \times 10^n$ for $n = 0, 1, 2, 3$ .

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Problem 40093

Solve for $x$ in the equation $\frac{x-9}{18}=\frac{x+45}{45}$ .

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Problem 40094

Find the atomic weight of an element with isotopes: one at 120.90038 amu (57.25%) and another at 122.8831 amu.

See Solution

Problem 40095

The orchard produced 45,000 Granny Smith and 900 Red Delicious apples this year, which is 10 times last year's yield. Find last year's total.

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Problem 40096

Joy reads a 352-page novel: $\frac{3}{8}$ on Monday, 28 pages on Tuesday, and $\frac{1}{4}$ on Wednesday. Pages left?

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Problem 40097

Find the ratio of 8 weeks to 7 days as a simplified fraction.

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Problem 40098

If $-3 \leq x \leq 10$ , find the interval for $-x$ . Explain the changes in inequality when multiplying by -1.

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Problem 40099

Calculate the sum: $\frac{(155-151.49)^{2}}{151.49} + \frac{(131-134.51)^{2}}{134.51} + \frac{(179-161.03)^{2}}{161.03} + \frac{(125-142.97)^{2}}{142.97} + \frac{(103-124.48)^{2}}{124.48} + \frac{(132-110.52)^{2}}{110.52}$ .

See Solution

Problem 40100

Match the graph to the inequality $x \geq -3$ .

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1 ...398 399 400 401 402 403 404 ...662

Math

Problem 40001

Calculate the product of 921 and 33.

Problem 40002

Identify the logical law shown: If you miss practice, you won't start. You missed practice, so you won't start.

Problem 40003

Create a new conditional statement using the Law of Syllogism from these true statements: 1. If a figure is a rhombus, then it is a parallelogram. 2. If a figure is a parallelogram, then it has two pairs of parallel sides.

Problem 40004

A group has \$46.75 for parking (\$5.75) and tickets (\$10.25 each). How many can attend the amusement park?

Problem 40005

A rock is thrown up at 12 m/s from a 42 m cliff. When is it 12 m above ground? Round to two decimal places.

Problem 40006

What was the hourly labor cost if Serenity paid $309.50\$ 309.50$309.50 total, with $62\$ 62$62 for parts and 4.5 hours of work?

Problem 40007

Identify the logic law shown: If x>12x>12x>12, then x+9>20x+9>20x+9>20. Given x=14x=14x=14, confirm x+9>20x+9>20x+9>20.

Problem 40008

Amira spends \$51.40 total, \$6.18 on cookies, and buys 7 equal bags of onions. Find the cost per bag of onions.

Problem 40009

Find the central angle θ\thetaθ in radians given s=12 cm\mathrm{s}=12 \mathrm{~cm}s=12 cm and r=4 cm\mathrm{r}=4 \mathrm{~cm}r=4 cm. θ=\theta= θ=

Problem 40010

Find the radius of a circle with a central angle of 30∘30^{\circ}30∘ that intercepts an arc of length 17mi17 \mathrm{mi}17mi. Radius in terms of π\piπ.

Problem 40011

Compare the initial fees of Carrier A (total costs: \500for3months,$650for6months)andCarrierB(500 for 3 months, \$650 for 6 months) and Carrier B (500for3months,$650for6months)andCarrierB(y=55x+300$).

Problem 40012

Identify the line of fit among y=1.6x+1.75y=1.6 x+1.75y=1.6x+1.75, y=4.25x+1.75y=4.25 x+1.75y=4.25x+1.75, y=4.4x+1.75y=4.4 x+1.75y=4.4x+1.75, y=3.3x+1.75y=3.3 x+1.75y=3.3x+1.75. Estimate yyy for x=15x=15x=15.

Problem 40013

Find the number of seats per row in a rectangular auditorium with 2184 seats, where seats exceed rows by 17.

Problem 40014

Find the line of best fit for Florida's population yyy (in millions) after 2013, using years xxx. Round slope to 3 decimal places and yyy-intercept to 2 decimal places.

Problem 40015

For the function f(x)=x2+6xf(x)=x^{2}+6xf(x)=x2+6x, find if it opens up or down, and determine the vertex and intercepts.

Problem 40016

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

Problem 40017

Which number is closest to 66\sqrt{66}66​? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

Problem 40018

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

Problem 40019

Find the function g(x)g(x)g(x) that results from a vertical shrink of f(x)=2x+6f(x)=2x+6f(x)=2x+6 by a factor of 12\frac{1}{2}21​.

Problem 40020

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

Problem 40021

Find the function g(x)g(x)g(x) that represents a horizontal shrink of f(x)=∣2x∣+4f(x)=|2x|+4f(x)=∣2x∣+4 by a factor of 12\frac{1}{2}21​.

Problem 40022

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

Problem 40023

Problem 40024

Find the function g(x)g(x)g(x) that represents a horizontal stretch of f(x)=∣x+3∣f(x)=|x+3|f(x)=∣x+3∣ by a factor of 4.

Problem 40025

Find the length of each edge of a square mirror with an area of 25 square feet.

Problem 40026

Problem 40027

Shannon's train fares from NYC to D.C. are: 49, 88, 119, 133, 161, 173, 272. Find the percentile ranks for \$119 and \$272, then identify the fare with a rank of about 82\%.

Problem 40028

The height of a building is proportional to floors. For 9 floors, height is 135 ft. a. Find the height-to-floors ratio and its unit rate. Explain its meaning.b. What would be the height for 15 floors?

Problem 40029

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

Problem 40030

Simplify the expression: −3(1−3x)+2x-3(1-3 x)+2 x−3(1−3x)+2x.

Problem 40031

Find the probability of getting at least one question wrong when guessing on 5 multiple choice questions (P(at least 1 wrong)P(\text{at least 1 wrong})P(at least 1 wrong)).

Problem 40032

What is the probability that the next three blood donors all have Type A blood if 40%40\%40% of the population has it?

Problem 40033

Determine which scenario requires permutations to count the arrangements: A, B, C, or D.

Problem 40034

Kate has 23\frac{2}{3}32​ gallon of popcorn. How many 16\frac{1}{6}61​-gallon bags can she fill? Show 23\frac{2}{3}32​ in 3 ways.

Problem 40035

Calculate the expected winnings when rolling a die: win \$25 for even, \$5 for second even, lose for odd.

Problem 40036

Simplify the expression: 4x+4−1+3x4x + 4 - 1 + 3x4x+4−1+3x.

Problem 40037

Simplify the expression: −2(7−2x)-2(7-2x)−2(7−2x).

Problem 40038

Calculate total sample size (nnn), sum of sample values (Σx\Sigma xΣx), and sum of squared values (∑X2\sum X^{2}∑X2) for given data.

Problem 40039

Create frequency distribution tables for scores from 'Low Number-Talk Parents' (2,1,2,3,4,3,3,2,2,1,5,3,4,1,22,1,2,3,4,3,3,2,2,1,5,3,4,1,22,1,2,3,4,3,3,2,2,1,5,3,4,1,2) and 'High Number-Talk Parents' (3,4,5,4,5,4,2,3,5,4,5,3,4,5,43,4,5,4,5,4,2,3,5,4,5,3,4,5,43,4,5,4,5,4,2,3,5,4,5,3,4,5,4).

Problem 40040

Find the atomic weight of an element with isotopes: 120.9038amu120.9038 \mathrm{amu}120.9038amu (57.25\% abundance) and 122.8831amu122.8831 \mathrm{amu}122.8831amu.

Problem 40041

Create a new conditional statement using the Law of Syllogism from these true statements:
1. If a figure is a rhombus, then it is a parallelogram.
2. If a figure is a parallelogram, then it has two pairs of parallel sides.

What was the hourly labor cost if Serenity paid $\$ 309.50$ total, with $\$ 62$ for parts and 4.5 hours of work?

Identify the logic law shown: If $x>12$ , then $x+9>20$ . Given $x=14$ , confirm $x+9>20$ .

Find the central angle $\theta$ in radians given $\mathrm{s}=12 \mathrm{~cm}$ and $\mathrm{r}=4 \mathrm{~cm}$ . $\theta=$

Find the radius of a circle with a central angle of $30^{\circ}$ that intercepts an arc of length $17 \mathrm{mi}$ . Radius in terms of $\pi$ .

Compare the initial fees of Carrier A (total costs: \ $500 for 3 months, \$650 for 6 months) and Carrier B ($ y=55x+300$).

Identify the line of fit among $y=1.6 x+1.75$ , $y=4.25 x+1.75$ , $y=4.4 x+1.75$ , $y=3.3 x+1.75$ . Estimate $y$ for $x=15$ .

Find the line of best fit for Florida's population $y$ (in millions) after 2013, using years $x$ . Round slope to 3 decimal places and $y$ -intercept to 2 decimal places.

For the function $f(x)=x^{2}+6x$ , find if it opens up or down, and determine the vertex and intercepts.

Which number is closest to $\sqrt{66}$ ? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

Find the function $g(x)$ that results from a vertical shrink of $f(x)=2x+6$ by a factor of $\frac{1}{2}$ .

Find the function $g(x)$ that represents a horizontal shrink of $f(x)=|2x|+4$ by a factor of $\frac{1}{2}$ .

Find the function $g(x)$ that represents a horizontal stretch of $f(x)=|x+3|$ by a factor of 4.

The height of a building is proportional to floors. For 9 floors, height is 135 ft.
a. Find the height-to-floors ratio and its unit rate. Explain its meaning.
b. What would be the height for 15 floors?

Simplify the expression: $-3(1-3 x)+2 x$ .

Find the probability of getting at least one question wrong when guessing on 5 multiple choice questions ( $P(\text{at least 1 wrong})$ ).

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

Kate has $\frac{2}{3}$ gallon of popcorn. How many $\frac{1}{6}$ -gallon bags can she fill? Show $\frac{2}{3}$ in 3 ways.

Simplify the expression: $4x + 4 - 1 + 3x$ .

Simplify the expression: $-2(7-2x)$ .

Calculate total sample size ( $n$ ), sum of sample values ( $\Sigma x$ ), and sum of squared values ( $\sum X^{2}$ ) for given data.

Create frequency distribution tables for scores from 'Low Number-Talk Parents' ( $2,1,2,3,4,3,3,2,2,1,5,3,4,1,2$ ) and 'High Number-Talk Parents' ( $3,4,5,4,5,4,2,3,5,4,5,3,4,5,4$ ).

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

Round 92 to the nearest hundred and show your reasoning on a number line. $92 \approx$

Round 3,492 to the nearest hundred using a number line. What is the result? $3,492 \approx$

Calculate expected values under the null hypothesis for party affiliation and support of full-body scans.
(a) Expectation for Republicans not supporting: $48$ (b) Expectation for Democrats supporting: $?$ (c) Expectation for Independents unsure: $22$

Calculate $-111(9)-11$ .

Analyze responses from 825 voters on oil drilling in CA. Perform a chi-square test for college grads vs non-grads at $\alpha = 0.05$ . State hypotheses, calculate test statistic (2 decimal places), and find $p$ -value (3 decimal places). Note data discrepancies.

1. What is $6 \times 7$ ?
2. Round 87 to the nearest ten.

What is $365 + 249$ ?

What is $6 \times 7$ ?

John worked 5.9 hours daily for 5 days. Calculate the total hours worked: $5.9 \times 5$ .

Find the value of the box in the equation $19+\square=41$ .

Find the value of $x$ in the equation $5 \times x = 35$ .

What is $30 \div 5$ ?

Survey skiers' preferences for ski areas. Test if preference is independent of skill level at $\alpha=0.05$ . Find test statistic and $p$ -value.

Find an increasing exponential function with the same vertical intercept as $f(x)=0.3x+2$ when $x=0$ .

Kai rides his bike $1850 \mathrm{~m}$ in $30 \mathrm{~min}$ . Find his average speed in km/h.

A bacterial colony of 1000 doubles in 12 hours. Find growth rate $k$ and time to reach 200,000 bacteria.

An outdoor concert arena's attendance drops with snow. Analyze data and answer:
(a) Is a linear model appropriate? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance for 9.1 inches of snow.

Simplify the expression: $\frac{x-5}{x^{2}-6 x+5}$ .

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

Find $\sec(60^{\circ})$ and $\csc(60^{\circ})$ using their definitions as reciprocals of cosine and sine.

Complete the trigonometric table for $30^{\circ}$ and verify if " $45^{\circ}$ " in $\sin(\theta)$ is an error.