Math Questions

Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week? A. f(w) = 3250 (1.03)" B. f(w) = 3250 (0.03)" C. f(w) = 3,250 (3) D. f(w)=3250 (0.097)

Two students at an elementary school are to be selected at random from a group of twelve kindergartners, eight first- grade students, and five second-grade students. What is the probability that one student selected will be a second- grader and the other a kindergartner?

Is the following function a linear function or an exponential function? y = -2x + 9

According to the Angle-Angle Similarity Postulate, if two triangles have two corresponding angles that are similar, congruent different, similar congruent, congruent congruent, similar then the triangles

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.6 centimeters per second. What is the rate at which the radius is changing when the radius is 7 centimeters and the height is 11 centimeters?

Two siblings, Alex and Brian, play a game three times in which each has an equal probability of winning. If A Is the event that Brian wins a game, what is the correct equation needed to find the probability that Brian will win none of the games? P(A¹)³=0.5³ P(A')=5³ 3P(4') = 1.5 P(A¹)³= 0.5

The radius of a circle is 3 in. Find its area to the nearest tenth.

The trainer believes that in the age group of 13 to 18, boys are taller than girls. To test his claim he compared the average heights of boys to the average heights of girls. He got a p-value of 0.04. Draw the conclusion at significance level: 0.01 and 0.05. Conclusion: At a = 0.01 he concludes that the average height of boys is larger than that of girls, at a = 0.05 concludes that the average height of boys and girls is same. Conclusion: At a = 0.01 and 0.05 average height of boys is larger than that of girls. Conclusion: At a = 0.01 and 0.05 he concludes that average height of boys and girls is same Conclusion: At a = = 0.01 he concludes that the average height of boys and girls is same, and at a = 0.05 concludes that the average height of boys is larger than that of girls.

A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a jack and then an eight? P(jack and 8) a) 16/169 b) 4/52 c) 16/52 d)1/169

A normal distribution has a mean of 150 and a standard deviation of 10. What is μ-3σ? 160 170 130 120

To estimate the height of a building, a student stood a certain distance from a building and determined that the angle of elevation to the top of the building was 32°. The student then moved 200 feet closer to the building along a level street and determined the angle of elevation was 42°. What is the height of the building? 315.3 feet 628.7 feet 116.5 feet 408.4 feet

Farmers sell milk by the hundredweight (100 pounds of milk). At one time the mean price was $16.30 per hundredweight with a standard deviation of 2.01. What is the probability that the farmer's price is between $12.28 and $16.30? Use the 68-95-99.7 normal distribution curve. 15.85% 47.5% 13.5% 34.0%

What is the probability of not getting double points? Give your answer in decimal form. Round to the thousandths place.

Twelve contestants are competing in a talent show. Which of the following represents the possible outcomes if there can be only one recipient for first, second, and third place? \(3!\) \(12!\) 12³ 12.11.10

Match the type of transformation with its description. 1. stretch 2. reflection 3. rotation 4. translation a. Points are flipped over a line. b. Points are turned around a central point. c.The size of the pre-image changes in one direction. d. Points are slid the same amount in the same direction.

The radius of a circle is 3 ft. Find its area to the nearest tenth.

Humberto has a bag of 24 marbles. 7 marbles are red, 5 marbles are blue, and the rest are pink. Humberto takes out two marbles without replacing them. What is the probability that they are both blue?

A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. What is the error bound of the mean for a 95% confidence level? A. 0.198 B. 0.010 C. 0.157 D. 0.013

If each edge of a cube measures 4 ft, how many pints of paint would it take to paint the entire cube if one pint of paint covers 25 square feet?

A deck of thirty cards consists of ten red, ten yellow, and ten orange cards. If five cards are drawn, what is the probability of selecting five red cards?

Aiden travels 2.4 km in his boat to visit his cousin, Davie, who lives across the river at Pike Road. Aiden's house is 1.5 km from Pike Road. What is the width of the river, to the nearest tenth of a kilometre?

A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2 + 40t + 3. What is the meaning of the 3 in the expression? A. The ball was thrown from a height of 3 feet. B. The ball took 3 seconds to reach the ground. C. The ball reached a maximum height of 3 feet. D. The ball took 3 seconds to reach its maximum height.

Emilio Ramirez has a 35%-off coupon and is purchasing a 3-light chandelier that has a regular price of $115.00. a. What is the markdown? b. What is the sale price? e. What is the sale price using the percent paid method?

What is the probability in a standard normal distribution that a data value lles more than 3 standard deviations from the mean? 0.0015 0.025 0.15 0.3

The cost, in dollars, of printing n digital photos is f(n) = 1.50+ 0.20n. Which of the following statements is CORRECT? A. For each additional photo printed, the cost increases by $1.70. B. For each additional photo printed, the cost increases by $1.30. C. For each additional photo printed, the cost increases by $1.50. D. For each additional photo printed, the cost increases by $0.20.

In a class of 22 students, 5 have a brother and 13 have a sister. There are 2 students who have a brother and a sister. What is the probability that a student who has a brother also has a sister?

Jess is baking ten batches of cookies for a bake sale. For every batch of 10 cookles, there is a 0.9 probability that no cookies will be burned. What is the probability that at least one batch of cookies has a burned cookie? 0.35 0.65 0.81 0.90

A baseball player hits a ball with an initial velocity of 130 feet/sec at an angle of 28 degrees to the horizontal at a height of 3.5 feet. What is the maximum height that the ball reaches? Round to the nearest foot.

Three boxes colored red, orange, and blue are to be randomly ordered from left to right. What is the probability that the end boxes will be orange and blue, in either order? 1/3 1/6 1/2 2/3

You are ordering three boxes colored red, orange, and blue from left to right. What is the probability that the box on the left is orange, and the middle one blue? 1/3 1/6 1/2 2/3

There are 16 nominees in the 2021 Rock and Roll Hall of Fame class. 11 of them began their recording careers prior to 1985. 6 of these nominees will be selected as a winner and honored as Hall of Fame members. Assume each nominee has the same change of being selected as one of the winners. If a group of 6 winners is selected, find the probability that exactly 4 of the new inductees began their recording careers prior to 1985.

Joey has a square piece of paper with edges that are 8 inches long. He cuts the paper along a diagonal to make two congruent triangles. Which measurement is closest to the length, in inches, of the hypotenuse of each triangle? 8 11.3 16 13.9

Andre sells electronic items such as digital music players and cell phones. He is paid $15/h plus 5% commission on sales. Which expression represents Andre's total earnings? (Let t represent time in hours, and s represent sales) Total earnings = 0.05t +15s Total earnings = 15t+ 0.05s Total earnings = 15 + 0.5s Total earnings = 15t +5s

The researcher claims that Interactive lessons are better than non-Interactive ones. He conducted the research with two Independent samples. One sample consisted of children, and another sample consisted of adults. The p-value for children was 0.04 and the p-value for the adult sample was 0.06. At a significance level 0.05, what could you conclude about the claim of the researcher? Interactive sessions are more effective as compared to non-interactive sessions for both children and adults. Interactive sessions appear to be more effective as compared to non-interactive sessions for children, but not for adults. Interactive sessions are more effective as compared to non-interactive sessions for adults, but not for children. Interactive sessions are not more effective than the non-interactive sessions for both adults and children.

Isaiah's Ice Cream Shoppe allows customers to choose 5 toppings for their famous sundaes. There are 12 different toppings from which customers can choose. How many different combinations of 5 toppings can be made from the 12 options? 60 792 95,040 50,400

The diameter of a circle is 3 cm. Find its area to the nearest tenth.

78, 82, 91, 75, 76, 86, 90, 88, 70, 72 A student was absent on the day of the quiz and scored a 50 on the make-up quiz. What is the approximate difference in the class' mean score before and after the make-up quiz? A. 3 points B. 4 points C. 5 points D. 6 points

Suppose that the weights of a group of student are normally distributed with a mean equal to 190 pounds and standard deviation equal to 20. What is the probability of a random student weighing more than 170 pounds? 0.16 0.34 0.68 0.84

Use your calculator to find the angle measures sin-¹ (0.7), cos¯¹(0.3), and tan-¹ (38.4) to the nearest tenth of a degree. a. sin-¹(0.7) = 0.8° , cos-¹(0.3) = 1.3° , tan-¹(38.4) = 1.5° b. sin-¹ (0.7) = 1.3°, cos-¹ (0.3) = 0.8°, tan-¹ (38.4) = 1.5° c. sin-¹ (0.7) = 44.4°, cos-¹(0.3) = 72.5° , tan-¹ (38.4) = 88.5° d. sin-¹ (0.7) = 72.5°, cos-¹(0.3) = 44.4°, tan-¹ (38.4) = 88.5°

How does the annual percentage yield (APY) help a person decide whether to put his money in Bank A or Bank B if both are offering 24- month CDs at 4.25% interest? The APY will tell the person which bank has earned the highest profits in the past year. The APY is able to determine whether the earnings on the CD will keep ahead of the rate of inflation. If Bank A has a higher credit rating than Bank B, Bank A will have a higher APY. The APY will show the actual interest rate earned as opposed to the stated rate after the frequency of compounding is taken into effect.

A person earning $50,000 a year contributes 10% of her income to her retirement plan. As a result, her employer matches up to 5% of her salary as a contribution. What will be the total contribution to her retirement plan account for one year? $5,000 $5,250 $7,500 $10,500

A rectangular prism has a height of 12 feet. The cross section at 8 feet has an area of 45.5 square feet. A triangular prism shares the same parallel planes as the rectangular prism and also has a height of 12 feet. If the volumes of the prisms are equal, what is the area of a cross section in the triangular prism at 8 feet? 72.25 square feet 45.5 square feet 52.6 square feet 22.75 square feet

The area of the base of a cylinder is 52 cm², and the height is 8 cm. Which equation can be used to find the volume of the cylinder? Vcylinder = (π) (52²) (8) Vcylinder = (52) (8) Vcylinder = (52π) (8) Vcylinder = (52²) (8)

A hotel has four elevators. One of them is a freight elevator. When pressing the button, one of the elevators randomly services your floor. If you use the elevators seven times, what is the probability that you use the freight elevator exactly four times?

43. What is the center of the hyperbola with the following equation? Is it horizontal or vertical? (y - 9)²/49 - (x + 5)²/64 = 1 The center is (-5,9), and the hyperbola is horizontal. The center is (-5,9), and the hyperbola is vertical. The center is (9,-5), and the hyperbola is horizontal. The center is (9,-5), and the hyperbola is vertical.

In a standard normal curve with = 500 and o= 100, what interval centered at the mean contains 68% of the data set? 400 to 600 300 to 700 200 to 800 450 to 550

On the back of most credit cards is a three-digit Card Verification Code (CVC). If the credit card companies are considering using letters A-Z and numbers 0-9 to improve security, what is the approximate probability that two of the digits are numbers? 0.056 0.20 0.0023 0.0168

Orlando and Ryan are taking measurements related to the installation of a TV tower. Orlando measures a 62° angle of elevation to the top of the 950 ft TV tower. Find the angle of elevation for Ryan, standing 80 ft farther from the tower than Orlando. Round answer to nearest tenth.

Seven students are selling candy bars to raise money for a school trip. Assume all students have an equal chance of selling the greatest number of candy bars. What is the probability that Tyrone will sell the most candy bars five weeks in a row? (1/7)5 1/7 (1/5)7 1/5

Twenty students entered an art contest, at which first, second, and third prizes would be given. If the same students entered the contest four years in a row, what is the chance that Ann would be first, Bob second, and Carlos third all three years? Assume equal chance of any student winning or not winning any award. (1/6,840) ³ (1/1,140) ³ 1/1,140 1/6,840