Math Questions

The surface area of a small toy ball is 18 square inches. If the radius of the ball is tripled, what will be the surface area of the new, larger ball in square inches? F 18 in.² H 54 in.² G 36 in.2 J 162 in.²

Broderick is playing a game where he must roll a number cube. The faces of the number cube are labeled 1 through 6. If Broderick rolls a 6 on the number cube, he must roll the cube again. What is the probability that Broderick rolls a 6 on the number cube three times in a row? A 1/6 B 1/18 C 1/2 D 1/216

Determine whether the function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay. y = 12,600(9/10)x The function y = 12,600(9/10)x represents exponential Rewriting the base in terms of the rate of growth or decay results in the function y = 12,600 ()x In this function, r = which indicates that the value of yby % each time period.

The population of a certain city was 4,229 in 2005. It is expected to decrease by about 0.34% per year. Write an exponential decay function, and use it to approximate the population in 2028. The exponential decay function where f(x) is the population of the city x years after 2005 is f(x) =

Use the information to answer the following question. A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden in feet. The entire garden is surrounded by a 2-foot-wide cement walkway. What does the algebraic expression (w + 4)(w + 7) represent in this context? A. the perimeter of the walkway only B. the perimeter of the garden only C. the area of the garden only D. the total area of the garden and walkway

15. What is the volume of a pyramid with a height of 10 units and a rectangular base with dimensions of five units by nine units? A. 55 cubic units B. 150 cubic units C. 300 cubic units D. 450 cubic units

Suppose $12000 is invested at 6% interest compounded continuously. How long will it take for the investment to grow to $24000? Use the model A(t) = Pert and round your answer to the nearest hundredth of a year. It will take years for the investment to reach $24000.

A person receives gifts for her 18th birthday totaling $750. She also saved 5 points $1,500 from her summer job and keeps the money at home in a safe place. She wants to buy a car when she turns 21. She has a part-time job and plans to work full time next summer and save most of that money. She has a monthly cell phone bill and a credit card that she uses for emergencies and then pays the bill in full each month. Which of the following is the most financially wise recommendation for her when it comes to opening bank accounts at this time? She should open a checking account with $1,000 and keep the rest of the money in cash at home for emergencies. She should put $1,500 in a two-year CD, $600 in a checking or NOW account, and keep $150 in cash. She should put $2000 in a five-year CD and open a checking account with the $250 left. She should put $750 into a savings account, $1,000 into a checking account, and keep $500 in cash at home for emergencies.

Find the product and enter it in the box below. Enter your answer as a polynomial in descending order and use the caret (^) for exponents. For example, you would write 4x2 as 4x^2. (5x+1)(5x+8)

A cylinder has a radius of 4 it and a height of 6 ft. A cone has the same radius as the cylinder. Find the height of the cone if the two have the same volume. Leave in terms of Use pi for . Volume of cylinder = h= HET

Consider the following statistics. Sample size (n) = 10 Sample mean (T) = 66 Sample variance (S²) = 10 If the population mean is 64, is there a significant difference between the population mean and sample mean? (Use: The tabulated value of t for 9 degrees of freedom at a 5% level of significance is 2.26.) No, because 1.90 < 2.26. Yes, because 1.90 < 2.26. No, because 2 < 2.26. Yes, because 2 < 2.26.

Suppose an investor deposits $28,000 into an account for which interest is compounded monthly. Find the amount of money in the account after 6 years using the following interest rates. 1. If r = 3.5%, then the investment is worth after 6 years. 2. If r = 5.5%, then the investment is worth after 6 years. 3. If r = 7%, then the investment is worth after 6 years. 4. If r = 9%, then the investment is worth after 6 years. • Round your answers to the nearest cent. Use a dollar sign to indicate that your answer is a monetary value.

The Drama club is selling tickets to a theater performance. On the first day of ticket sales the club sold 8 adult tickets and 8 student tickets for a total of $184. The club took in $100 on the second day by selling 1 adult ticket and 8 student tickets. Find the price of each adult ticket and the price of each student ticket. Let x = Let y = Equation 1: Equation 2:

A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then a yellow marble? a) 5/16 b) 30/16 c) 15/128 d) 30/128

Cindy found a collection of baseball cards in her attic worth $8,000. It is estimated to increase in value by 1.5% per year. Write an exponential growth function and find the value of the collection after 7 years. The exponential growth function that represents this situation is f(x) = . (Simplify your answer.)

The diameter of a circle is 13 m. Find its area to the nearest tenth. A = m2

Which polynomial represents the difference below? ²-3x+10-(9x8+4x) A. 8x¹+x+10 B. -9x¹5+x²+x+10 C. 10x¹5 + 12x+10 D. -9x8+X7-7X+10

What steps do you need to take to solve the equation 1/2x+6=18? Choose the correct answer below. A. Add 6. Then, multiply by 2. B. Subtract 6. Then, divide by 2. C. Add 6. Then, divide by 2. D. Subtract 6. Then, multiply by 2.

Find the sum: (x ^8 + 3x^6-4x^4+10x) + (2x^7-4x^5-x³ + 10). A. 2x² + 4x ^6+ 2x^5-2x^4 -5x³-x² + 17x+17 B. x^8+2x^7+3x^6 - 4x^5 - 4x^4 + x² + 9x+10 C.x^8+2x^7+3x^6-4x^5-4x^4-x³ + 10x + 10 D. 3x^7-7x^5-x² + 20

A printer cartridge company claims their ink lasts for more than 5,000 words. The number of words printed is normally distributed with a standard deviation of 20 (σ=20) A sample was taken of 50 cartridges and it was found that they had a mean of 4,940 words. Construct a 95% confidence interval (z = 1.96). Using the interval does the company's claim hold true? a. No, the companies claims are above the 95% confidence interval. b.Yes, the companies claims fall within the 95% confidence interval. c. No, the companies claims are below the 95% confidence interval. d. Yes, the companies claims are below the 95% confidence interval.

A company owns 250 vehicles and keeps records on when the vehicle was purchased and all maintenance done on the vehicles. A sample of ten vehicles is safety tested. The proportion of vehicles less than ten years old among the 250 vehicles owned by the company is an example of a parameter a statistic a z-score an acceptance region

What is the correct meaning of statistical significance? The result is statistically important. The result is statistically meaningful. The result is significant and due to chance.. The result is significant and, therefore, is not by chance.

What is the degree of freedom for the critical t-value of a population that has 450 sample differences? 224 449 225 451

GIVEN: P(A) = 0.4 andP(B) = 0.35 If the probability of P(B∩A) = 0.75, are events A and B independent? a) No, becauseP(A) · P(B) ≠ 0.75 b) Yes, becauseP(A) · P(B) = 0.75 c) No, becauseP(A) + P(B) = 0.75 d) Yes, becauseP(A) · P(B) = 0. 14

Prove that the polygon with coordinates A(5, 6), B(8, 5), and C(2, -3) is a right triangle. a) slope of CB 4/3 =;slope of AC = 3; perpendicular lines form a right angle b) slope of AB=1/3 ;slope of CB =4/3 both have denominators of 3 making the perpendicular c) cannot be proven d) slope of AB =-1/3 slope of AC = 3; perpendicular lines form a right

How can coordinate proof be used to prove two lines are parallel? a) Show that the product of their slopes is 1. b) Show that the product of their slopes is -1. c) Show that the slopes are the same. d) Show that the y-intercepts are the same.

The diameter of a circle is 6 ft. Find its area to the nearest tenth. Answer: A=ft²

If you horizontally shift the absolute value parent function, F(x) = Ixl, right nine units, what is the equation of the new function? A. G(x)= |x |+9 B. G(x)= |x +9| C. G(x) = |x|-9 D. G(x) = Ix-9|

Classify the two given samples as independent or dependent. Sample 1:The average test scores of 50 math students Sample 2: The average test scores of the same 50 math students after being tutored for two months Choose the correct answer below. A. The two given samples are independent because the same students were sampled. B. The two given samples are independent because different students were sampled. C. The two given samples are dependent because the same students were sampled. D. The two given samples are dependent because different students were sampled.

Find all ordered pair solution (s) to the system of nonlinear equations given by: y=-x-5 y = x² - 5 If there is more than one solution, enter as a list of ordered pairs. Example: (2,-5), (5,-2)

A credit card company claims that the mean credit card debt for individuals is greater than $5,200. You want to test this claim. You find that a random sample of 36 cardholders a mean credit card balance of $5,352 and a standard deviation of $550. At a=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? A. Ho us $5,200 Ha:p>$5,200 B. Ho: 2$5,200 Ha:μ<$5,200 C. Ho u>$5,200 Ha us$5,200 D. Ho: μ=$5,200 Ha:p>$5,200 E. Ho: H=$5,200 Ha:μ≠$5,200 F. Ho: $5,200 Ha:μ≤ $5,200

Find the sum: (x^5-2x^4+3x²-6) + (3x^4 +4x²+x+4). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write 4x² as 4x^2.

A right cylinder has a radius of 3 and a height of 8. A cone has the same radius as the cylinder. Find the height of the cone if the two have the same volume.

A member of the American Kennel Club is researching Irish Wolfhounds, and measures ninety of them to find a sample average height of 33.0 Inches, with a 90% confidence interval of [32.7, 33.3] Inches. If the researcher finds twenty other ninety-dog samples, about how many of those samples will have an average outside this Interval? 1 2 4 5

Which of the following would produce a similarity transformation? Select all that apply. dilation alone translation followed by rotation rotation followed by a dilation reflection followed by rotation

Which of the following illustrates the probability of the complement A' of an event A? P(A')=1-P(A) P(A) = 1- P(A') A=P(A) + P(A') A=P(A) P(A') .

Given the following quadratic equation, state the x and y intercepts (solutions of the form (x, 0) and (0, y)), the vertex, and then use this information to sketch the graph: a) y = x² - 2x-3 b) y = x² + 2x c) y = -x² + 4x-2

The Pizza Shack discounts 20% off the regular selling price on the purchase of 3 or more pizzas. What is the sale price on the purchase of 3 pizzas that regularly sell for $10.75, $16.75, and $20.75?

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At a=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha. Which of the following correctly states Ho and Ha?

You performed a simulation to examine mutation proportions. You put fifty candies in each of two bags. You hit both bags with a book to simulate a genetic mutation occurring. The first bag had five broken candles and the second bag had ten broken candies. Which statement is correct? Your sample size was too small to use the z-test to compare proportions. The proportions of candies in the bags were not statistically significantly different at the 90% confidence level. The proportions of candies in the bags were statistically significantly different at the 90% confidence level. The proportions of candies in the bag could not be determined.

The following options are available for Inline skates. • White, pink, yellow, blue Tassels, striped, bells, straps . Three, four, five wheels What is the probability of selecting a skate with three wheels, assuming that the probabilities of selection are the same for all options? 1/48 1/12 1/4 1/3

What conditions are necessary in order to use the z-test to test the difference between two population means? Select all the necessary conditions below. A. The samples must be randomly selected. B. The samples must be independent. C. The samples are paired. D. Each population has a normal distribution with a known standard deviation.

#8 An airplane is flying 700 feet above ground. From the plane to the base of the control tower, the angle of depression is 47°. How far away is ground directly underneath the plane to the control tower? Round your answer to the nearest tenth.

In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager has selected a random sample of 100 cash register receipts. The mean of these was $45.67 with a sample standard deviation equal to $12.30. Assuming that he wants to develop a 90 percent confidence interval estimate the upper limit of the confidence interval estimate is: a. about $2.02. b. approximately $65.90. c. about $47.69. d. None of the above.

Identify the claim and state Ho and H₂. What is the claim? A. Male high school students have greater exam scores than female students B. Male high school students have lower exam scores than female students. C. Male and female high school students have equal exam scores. D. Male and female high school students have different exam scores.

Multiplying by a number flips the graph of a function over the x-axis.

A hockey goaltender has a save percentage of 0.920. This means that the probability of any single shot taken on the goaltender being a goal is 0.08. What would be the expected number of goals scored on this goaltender in a game where she faced 35 shots?

Determine whether the function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay. y=460.4^x

Suppose that 108 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure: Find the dimensions of the corral with maximum area.

An educational organization in California is interested in estimating the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day. A previous study showed that the population standard deviation was 21.5 minutes. The organization selected a random sample of n = 200 children between the age of 6 and 18 and recorded the number of minutes of TV that each person watched on a particular day. The mean time was 191.3 minutes. If the leaders of the organization wish to develop an interval estimate with 98 percent confidence, what would be the upper and lower limits of the interval estimate? a. Approximately 187.76 minutes ----- 194.84 minutes b. About 141.21 ------ minutes 241.40 minutes c. Approximately 188.3 minutes -------- 194.3 minutes d. None of the above.