Math Questions

A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.72. Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance o2 and (b) the population standard deviation σ Interpret the results. (a) The confidence interval for the population variance is (Round to two decimal places as needed.)

Find the difference of the polynomials given below and classify it in terms of degree and number of terms. 3n2(n2 + 4n 5) (2n2-n4 + 3) A. 4th degree polynomial with 4 terms B. 4th degree polynomial with 5 terms C. 3rd degree polynomial with 4 terms D. 3rd degree polynomial with 5 terms

A carousel with a 60-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

Determine the value of y, if x is -12. y = |x|-5

What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter. A. 141 m³ B. 283 m³ C. 339 m³ D. 424 m³

You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest /= p r t, where / is the interest, p is the principal, r is the annual interest rate, and t is the time in years. A. $22,000 B. $2,200 C. $220 D. $22

The Burger Shop sells hotdogs for $3 each and burgers for $5 each. One day, the shop sold 25 more hotdogs than burgers and made $280. Which system of equations could be used to find the number of hotdogs, h, and burgers, b, that the shop sold that day?

Find the area of a rhombus with a perimeter of 100 meters and one diagonal with a length of 48 meters.

A food store makes a 10 lb mixture of peanuts, cashews and raisins. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as much of peanuts as of cashews. The total cost of the mixture is $14. How much of each ingredient did the store use?

Alton and Eithan are each saving money for a car. The total amount of money Alton will save is given by the function f (x) = = 43 + 3x. The total amount of money Eithan will save is given by the functiong (x) = x² + 25. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.

Find the area of a sector with a central angle of 200° and a diameter of 5.3 cm. Round to the nearest tenth. 2.3 cm² 49 cm² 5.9cm² 12.3cm²

For the following set of data, find the number of data within 2 population standard deviations of the mean. 63, 62, 95, 33, 65, 62, 57

Levi buys cookies and potatoes at the store. . He pays a total of $54.69. ' He pays a total of $5.49 for the cookies. . He buys 8 bags of potatoes that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of potatoes costs.

In which type of statistical study is the population influenced by researchers? A Researchers do not influence the population in any of the statistical studies. B. survey C. experiment D. observational study

An investment of $1800 earns 6% annual interest, compounded monthly. What is an appropriate unit of time (such as days, weeks, years)? What is the multiplier that should be used? What is the initial value? What is an exponential equation in the form y = a(b)* that can be used to model the

Molly went shopping to buy jewelry. All of the pairs of earrings, e, cost $13.00 and the necklaces, n, cost $40.50. If she spends $118.50 and buys 7 items, how many necklaces and pairs of earrings did she buy? Enter a system of equations to represent the situation, then solve the system. Justify your answer.

Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

Two trucks were purchased by a landscaping company in 2016. Their values are modeled by the functions f(x) = 35(0.85) * and g(x) = 46(0.75) where x is the number of years since 2016. Which function models the truck that is worth the most after 5 years? Explain

You need to construct a rectangular box with a volume of a volume of 800 cm³ whose base length is three times the base width. The material used to build the top and bottom costs 0.09 per square cm and the material used to build the sides costs 0.12 per square cm. The cost of the least expensive box is: $ (Your written work should include the dimensions of the box.)

Verify the identity. tan x csc 2x− tan x= cotx Choose the sequence of steps below that verifies the identity.

Given the function defined by r(x) = x³ - 3x² + 9x - 4, find the following. r( − 3) r(-3)= (Simplify your answer.)

Sebastian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 2.5 points for each visit to the movie theater. He needs 115 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.

Complete the explanation of why slant height is not defined for an oblique cone. In an oblique cone, the distance from a point on the edge of the base to the vertex is each point on the base.

Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is 10, and the mean of the y-coordinates of the points is -8, the line must pass through which of these points? A. (8,-10) B. (-8, 10) C. (10,-8) D. (-10, 8)

When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?

An online store begins selling a new type of basketball shoe. In Week 2, 60 pairs of shoes were sold. In Week 4, the store sold 240 pairs of shoes. Write an exponential equation that relates the number of shoes (in pairs) solve to the week number. Let x = the week number Let y = the number of shoes (in pairs)

The velocity v of an object rolled down an inclined plane is given by the formula v= √/48d, where d is the distance the object has rolled. Solve the formula for d d=(Simplify your answer. Use integers or fractions for any numbers in the expression.)

The total points scored by two youth soccer teams are shown. Rockets: 3, 0, 3, 4, 2, 6, 1, 0, 3 Jets: 2, 3, 2, 1, 0, 0, 0, 2, 1

Find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin v=-5/13, with v in the quadrant III.

Explain how to find the domain of the geometric sequence where a₁ = 2 and the common ratio is 3.

Emma says that for f(x) = 8,000(0.95)*, the exponential growth is 0.95 and the y-intercept is 8,000. What is her error? Choose the correct answer below and fill in the answer box(es) to complete your choice. Since b = A. For f(x) to be an exponential growth model, a> it should be exponential decay, not growth. B. In an exponential growth model y = a. bx, the exponential growth r is found using the equation r= 1-b. So, the exponential growth is and the y-intercept is C. In an exponential growth model y = a. bx, the exponential growth is a and the y-intercept is b. So, the exponential growth is D. Emma found the x-intercept instead of the y-intercept. The x-intercept is 8,000 and the y-intercept is and b>

Suppose that there were a strong correlation between the variables d and f. Which of these is a true statement? A. dmust cause f B. d may cause f C. fmust cause d D. d must not cause f

For which of these does correlation most likely imply causation? A. As the number of cups of coffee consumed increases, the price of a dress increases. B. As rainfall increases, the number of umbrellas sold increases. C. As dishwasher use increases, the size of a DVD collection increases. D. As the hours spent studying increases, the number of points scored by a basketball team increases.

On his 6 Algebra tests, Omar received the following scores: 82, 44, 92, 86, 77 & 82. Find the mean, median, mode, range and outlier of the data set. Round the the nearest tenth. a. Mean: b. Median: c. Mode: d. Range: e. Outlier:

Write the equation of the circle with the given center and radius: Center (-10,5) Radius = 8

Select the correct answer. Jensen is writing an argumentative text about the benefits of digital textbooks. His teacher tells him that he does a great job establishing credibility. Why might Jensen's paper be credible? A. He offers evidence from trustworthy sources. B. He offers specific examples to support his claims. C.He does not offer a counterargument. D.mHe offers solutions for the problem explored.

Based on the following calculator output, determine the range of the dataset. 1-Var-Stats 114.285714286 Ex=800 Σx² = 92018 Sx 9.91151326681 σx= = 9.17627820157 n = 7 minX = 102 Q₁ = 104 Med = 115 Q3 = 122 maxX = 128

Nicole has 17 nickels n and dimes d. If the value of her coins is $1.60, how many of each coin does she have? Enter a system of equations to represent the situation, then solve the system.

Suppose the line of best fit for some data points has a slope of 4.404. If the mean of the x-coordinates of the data points is 8.891, and the mean of the y-coordinates is 5.519, what is the y-intercept of the line to three decimal places? A. 15.415 B. -15.415 C. 33.637 D. -33.637

How is the interquartile range calculated? A. Find the difference between the values for quartile 3 and the median. B. Find the difference between the values for quartile 3 and quartile 1. C. Find the difference between the values for quartile 3 and the minimum. D. Find the difference between the values for the maximum and minimum.

CJ wanted to see if listening to music would make the basketball players make more baskets. On day one, he didn't play any music and counted how many baskets they could make in 10 minutes. On day 2, he played rap music and counted the baskets, and on day 3, he played classical music and counted the baskets. a. Independent Variable (V): the different kinds of music b. Dependent Variable (DV) c. Control:

Use the multiplication rule to match the likely hood of two event occuring with the correct decimal The probability that you roll a 3 and then flip a tails? The probability of rolling two 1's in a row. The probability of drawing a jack and then flipping a tails. The probability that you roll a prime number and then your roll an even number.

If there are 25 values in a data set in order from smallest to largest, what is the third quartile of the data set? A. The mean of the 21st and 22nd values B. The mean of the 20th and 21st values C. The mean of the 19th and 20th values D. The mean of the 22nd and 23rd values

If the length of the height of a trapezoid is 4 meters, the length of one of its bases is 11 meters, and its area is 62 square meters, then what is the measure of the other base? 113 m 20 m 146 m 25.5 m

A parallelogram has a base of 12 feet, sides of 15 feet, and a height of 13 feet. a) Find the perimeter and area of the parallelogram. b) Suppose the base of the parallelogram is reduced to three-fourths of the original. Find the new perimeter and area. c) Compare your answers in parts a and b for perimeter and area of the original parallelogram.

In Problems 3-6, find the slope msec of the secant line through the two given points and then calculate mtan = lim h→0 msec. 3. f(x) = x² (a) (-2,4), (-2+h, (-2+h)2) (b) (0.5, 0.25), (0.5+h, (0.5+h)²) 4. f(x) = 3+x² (a) (1,4), (1+h,3 + (1 + h)²) (b) (x,3+x²), (x+h,3 + (x + h)²)

If c is an explanatory variable and dis the corresponding response variable, which of these would be represented by the vertical axis on a scatterplot? A. Neither c nor d B. c C. Both cand d D. d

I can calculate the probability of independent events using P(A U B) and P(A n B), and interpret them in context. Given the following events: Event A: Drawing a red card Event B: Drawing an ace Calculate the probability of drawing a red ace. P (An B)

A line of best fit predicts that when x equals 35, y will equal 34.785, but y actually equals 37. What is the residual in this case? A. -0.215 B. 2.215 C. 15 D. 0.215

A circular power saw has a 61/2-inch-diameter blade that rotates at 4900 revolutions per minute. (a) Find the angular speed of the saw blade in radians per minute. (Round your answer to two decimal places.) radians/min (b) Find the linear speed (in feet per minute) of one of the 24 cutting teeth as they contact the wood being cut. (Round your answer to two decimal places.) ft/min