Basic Math Questions and Answers

The U.S. Post Office is interested in estimating the mean weight of packages shipped using the overnight service. They plan to sample 300 packages. A pilot sample taken last year showed that the standard deviation in weight was about 0.15 pounds. If they are interested in an estimate that has 95 percent confidence, what margin of error can they expect? a. Approximately 0.017 pounds b. About 0.0003 pounds c. About 1.96

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $54,941 that increases by $4,096 every year. Offer 2: You earn a yearly salary of $54,941 that increases by 2.1% compounded annually. How much money would you make after 21 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

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)

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

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

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

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

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?

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?

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?

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.

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.

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.

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

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

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.

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.

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

• 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 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.

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.

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.

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.

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)

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.

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

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

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

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

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.

Which of the following statements is true about any sphere? Its cross section is in the shape of a circle. It has only two dimensions. Its surface area is measured in cubic units. It has a radius that is always a perfect square.

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 9 m and a depth of 1.5 m. Suppose water is pumped out of the pool at a rate of 13 m² per hour. If the pool starts completely full, how many hours will it take to empty the pool? Use the value 3.14 for , and round your answer to the nearest hour. Do not round any intermediate computations. hour(s)

The area of a parallelogram Is 64 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 8 m² 32 m² 128 m² 4 m²

A city has a density of 1452 people per square mile. If the town is 3.8 square miles, how many people live in the city? Round your answer to the nearest person.

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A can is 12 cm tall with a radius of 8 cm. Part A: Write the formula for finding the volume of the can. Part B: Calculate the volume of the can. Part C: Show all work for Part B.

For the following system: WRITE THE TWO EQUATIONS. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult citizen tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Sara has made this list to summarize what she learned in science class today: 1. Core 2. Radiation zone 3. Convection zone What is the best title for her list? The Layers of the Interior of the Sun The Layers of the Sun The Layers of the Atmosphere of the Sun The Main Layers of the Sun

If the pre-Image from a dilation is smaller than the Image, what best describes the dilation's scale factor? There is not a scale factor for the dilation. The scale factor is equal to 1. The scale factor is less than 1. The scale factor is greater than 1.

15. What type of edge on a 2-D figure will form a flat surface when it is rotated to form a 3-D figure? an edge perpendicular to the axis of rotation an edge that is curved and does not touch the axis of rotation an edge that is parallel to the axis of rotation an edge with a 45° angle with the axis of rotation