Math Questions

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

Suppose the researcher wants to test if the average number of computers sold at a department store is greater than 200 units. Set the hypotheses for the given scenarios. Ho: M> 200, Ha: M≤ 200 Ho:M≤200, Ha :M > 200 Ho: M≥200, H M < 200 Ho: M<200, Ha: M≥200

Theresa is comparing the graphs of y= 2^x and y = 5^x. Which of the following statements is TRUE? A. Neither graph has a y-intercept. B. Both graphs have a y-intercept of (0, 1), and y= 2^x is steeper. C. Both graphs have a y-intercept of (0, 1), and y = 5^x is steeper. D. The y-intercept of y= 2^x is (0, 2), and y-intercept of y 5^x is (0, 5).

Find the diameter of the circle with the given circumference. Use 3.14 for π. C = 23 cm.

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year. What will her salary be in 6 years? Do not include the dollar sign in your answer.

You take a $4,500 loan to pay for a trip to the Amazon rainforest to photograph wild animals. If the loan's interest rate is 8% for 1 year, what is the interest for the first payment? $12.58 $26.00 $30.00 $80.99

All you know about a differentiable function f(x) is that: ƒ'(3) = f'(4) = f'(17) = 0 and that: f'(x) > 0 for x < 3 f'(x) < 0 for 3 < x < 4 f'(x) < 0 for 4 < x < 17 f'(x) > 0 for 17 < x Based on this information: f(x) has X = 3 f(x) has X = 4

Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled. A 72.7-foot rope from the top of a circus tent pole is anchored to the ground 44.3 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume the pole is perpendicular to the ground. Round your answer to one decimal place.)

The formula for the volume of a cone is most closely related to which of the following three-dimensional figures? rectangular prism cube sphere cylinder

Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a week. A sample of 100 steady smokers revealed that the sample mean is $20 and the sample standard deviation is $5. What is the probability that a sample of 100 steady smokers spend between $19 and $21? A) 0.4772 B) 0.0228 C) 0.9544 D) $20

A ship left the bay and has sailed toward 30 degrees to the east for 5 km. If we set the bay to be the origin and the north to be the y-axis direction, and the east to be the x-direction, what is the coordinate of the ship now?

If f(x) = 4x² - 2x + 4 then: ƒ'(2)= An equation for the line tangent to y = f(x) at the point where x = y =

• Every trapezoid is a quadrilateral. • Polygon W is not a quadrilateral. Which conclusion can be made using both statements? Polygon W is a pentagon. Polygon W is not a parallelogram. Polygon W is not a trapezoid. Polygon W is a triangle.

Which of the following statements is incorrect? An alternate hypothesis always states difference. An alternate hypothesis always states significant influence. An alternate hypothesis always states significant dependence of variables. An alternate hypothesis always states no change in value.

Which of the following are steps used to find the perpendicular bisector of the diameter of the circle? Select all that apply. Place the compass point on one end of the diameter and draw an arc reaching above and below the diameter. Set the compass opening to greater than half the diameter of the circle. Set the compass opening to the radius of the circle. Using a compass, draw an arc outside the circle from one point on the circle.

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function. The ƒ(x) = x² + 4x − 1

Two pieces of cloth are shaped like similar triangles. The lengths of the sides of the first piece of cloth are 5 inches, 9 inches, and 12 inches. The length of the shortest side of the second piece of cloth is 15 inches. What is the length of the longest side of the second piece of cloth? 36 in. 22 in. 27 in. 19 in.

A deck of cards consists of ten red, ten blue, ten yellow, and ten green cards. If five cards are selected, find the probability of selecting four red cards and one other card. 252/658,008 175/18,278 7/18,278 175/18,278 1/18,278 5/82,251

You are given the choice between a yearly payment of $3,981 that increases by $223 every year or a yearly payment of $3,981 that increases by 1.1% compounded annually. How much money would you make after 10 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

Alex and Brian play a game three times, during which each has an equal probability of winning. What is the probability that Brian will win at least one game? 0.875 0.75 0.25 0.125

An equation for the line tangent to the graph of f(x) = 5x - 3+ 9ex at the point where x = - 5: y =

The average score of 22 students on a math online quiz Is 86.3 with a standard deviation of 7.2. The average population score is 83.5. What is the t-value? 8.55 4.89 1.82 1.19

You are beginning a new job. Your employer gives you the choice of two salary options. Option 1: You earn yearly payment of $39,368 that increases by $1,010 every year. Option 2: You earn yearly payment of $39,368 that increases by 2.6% compounded annually. How much money would you make after 17 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You are given the choice between a yearly payment of $3,652 that increases by $128 every year or a yearly payment of $3,652 that increases by 1.9% compounded annually. How much money would you make after 6 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

The diameter of a circle is 11 ft. Find its area to the nearest tenth.