Math Questions

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.

The formulas for the volume of which of the following shapes were used in order to determine the formula for the volume of a sphere? Select all that apply. triangular prism cube cone cylinder

A golfer hits the ball with an initial velocity of 140 ft/sec so that its path makes an angle of 31° with the horizontal. (b) How far is the ball from its starting point when it hits the ground? Give your answer to 2 decimal places.

2. A shoe company used packing boxes to ship four orders to retail stores. The number of packing boxes needed to transport the pairs of shoes is a function of the number of pairs ordered for each delivery. This function consists of only the ordered pairs (44, 3), (60, 4), (72, 5), and (88, 6). What is the domain for this situation? F {44,60,72,88} G (44,88) H (3, 4, 5, 6, 44, 60, 72, 88) J {3,4,5,6)

The probability that a tornado will hit Town D in any given year is 0.05. If A is the event that a tornado hits Town D in a given year, what is the probability that at least one tornado will hit Town D over the course of ten years? 0.40 0.95 0.60 0.50

Which statement about the linear parent function is true? A Its domain is the set of all non-negative numbers. B Its range is the set of all real numbers. C Its domain is the set of all negative rational numbers. D Its range is the set of ordered pairs graphed in Quadrants I and IV.

The probability that it will rain on October 24 Is 0.13. What is the probability that it will rain five years in a row on October 24? 0.0000371 0.13000 7.00000 0.000287

Consider the data set: 4, 5, 5, 6, 6, 8, 8, 9, 10, 14 What would happen to the median if another data point of 25 was added to the data set? The median would go up by 1.6 The median would go up by 1 The median would remain the same The median would go up by 2.3

An Xbox depreciates in value, which means that its value becomes less and less as time passes. Your new Xbox is worth $500 at the moment and its value drops approximately 4% each year. Use your equation to find out how much your Xbox will be worth in 7 years.

When comparing the volume of pyramids and prisms, what is the ratio of the volume of the pyramid to the volume of the prism If the bases are the same? 1:2 1:4 1:6 1:3

The volume of a small rubber ball is 20 cubic inches. If the radius of the ball were doubled, what would be the volume of the new, larger ball in cubic inches? A.20 in.3 C.80 in.3 B.40 in.3 D.160 in.3

A company manufactures cylindrical containers that each have a volume of 6 cubic feet. For a new container design, the company plans to keep the same height for the container and double the radius. Which statement best describes how this change will affect the volume of the container? F The volume will be multiplied by a factor of 2. H The volume will be multiplied by a factor of 0.5. G The volume will be multiplied by a factor of 4. JThe volume will be multiplied by a factor of 0.25.

Which best describes the relationship between the line that passes through (3, 1) and (5, 2) and the line that passes through (4, 3) and (5, 1)? a) perpendicular b) parallel c) neither parallel nor perpendicular d) same line

Paul has four shirts, two ties, and three pairs of pants. How many possible outfits can he make if he chooses one Item from each group? 504 84 12 24

The radius of a circle is 7 m. Find its area to the nearest tenth.

Mr. Kranz wants to buy a new car. He is considering a compact car, full-size sedan, or a sports utility vehicle. He can choose a standard or a luxury model for all three types of cars. There are blue, silver, and white colors available to choose from for each model. How many possible choices does Mr. Kranz have? 56 336 9 18

Sketch the graph of the surface z = 2x².

A deck of twelve cards consists of five green cards, four purple cards, and three yellow cards. What is the probability of being dealt a hand with two green cards, two purple cards, and one yellow card? 18/792 60/792 180/792 360/792

A credit card account number has sixteen digits where each digit is a selected from a set of numbers from 0-9. Which of the following represents the total number of possible credit card accounts?

A slide on a playground rises at a 45° angle. The top of the slide is 20 feet above the ground. How far does a child travel down the silde? Round answer to the nearest hundredth place. 34.64 feet 40.00 feet 20.00 feet 28.28 feet

Common test generators have the writer provide four possible answers. Then the test generator creates different versions of the test, randomly assigning the correct answer to a letter. There are five multiple choice questions with options (A, B, C, and D) on a qulz. What is the probability the first three answers are C? 1/1,024 5/1,024 1/64 5/256

The point (1, -1) is on the terminal side of angle 8, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Which would be the best way to combine the following sentences using an adjective clause? Mr. Kold's timepiece was synchronized to the clock tower. He always carried it. A. Mr. Kold's timepiece that he always carried, was synchronized to the clock tower. B. Mr. Kold's timepiece that he always carried was synchronized to the clock tower. C. Mr. Kold's timepiece, that he always carried, was synchronized to the clock tower.

The area of a parallelogram is 100 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 1000 m² 200 m² 50 m² 10 m²

You have five lab rats (named A, B, C, D, E) that you have trained to play musical chairs, with three chairs In order one through three. How many possible orderings of the rats are there in the three chairs? 120 720 60 20

Joe constructed perpendicular bisectors of two sides of a triangle. What is his next step if he is constructing a circle circumscribing a triangle? Draw a line from the midpoint of one side to the opposite angle of the triangle. Draw arcs above and below the perpendicular bisector on one side. Mark the intersection of the perpendicular bisectors. Find the angle bisectors of two angles.

Solve the equation. tan θ= -2 sinθ What is the solution in the interval 0≤0<2n? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is {}. (Simplify your answer. Type an exact answer, using as needed Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution.