Basic Math Questions and Answers

An existing inventory for a test measuring self-esteem indicates that the scores have a standard deviation of 11. A psychologist gave the self-esteem test to a random sample of 150 individuals, and their mean score was 63. Construct a 95% confidence interval for the true mean of all test scores. Then give its lower limit and upper limit.

Olivia's volleyball team is going on a trip to play in a tournament in Oregon. The 12 players all need to fundraise to pay for their trip. Each player needs to pay $20 for the bus plus some amount for food. The total cost of the entire trip for all 12 is $540. How much extra does each player need to fundraise for food? * (3 Points) 1 Point: equation 1 Point: solution to written equation 1 Point: solution is labeled with context

A prescription medication has a half-life of 6 hours and the recommended dosage of the medicine is 2 pills. If each pill is 500 mg, how long will it take for the amount of the medicine to remain in the body to be 200 mg if a person takes the recommended dosage?

Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Ten percent of the panels from Plant A and 3% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 7%? Number of panels produced by Plant B:

Directions: Find each sum or difference. Answers must be in standard form. 11. (x²-4x + 3) + (3x²-3x - 5) 12. (8r^2 -12r + 4)-(3r²+5r-1) 13. (2m-3+ 7m²)-(3-9m² -2m) 14. (7p² + 3p)-(5p² + 4) 15. (3a²-a + 3) + (4a²-5) 16. (5w³-w+ 2u² + 4) + (3w²+1-4w) 17. (2x² +3y^2-2z^2) — (x² − y² − z²) + (4x² − 3y²) 18. (12+ 8k³ + 3k-4k²) + (5k³ + 15-k + 2k²) 19. Find the sum of (2x² - 6x-2) and (x² + 4x). 20. Subtract (-a² - 5ab + 3b²) from (3a²- 2ab + 3b²).

A contractor finds that Crew A takes 6 1/2 - hours to construct a retaining wall and Crew B can do the same job in 5 1/2 hours. If Crew A and Crew B work together, how long will it take them to construct the retaining wall? a) Let h= the time to complete the job. Write the equation you would use to solve this problem, b) Now solve your equation. Give your answer first as a reduced fraction, and then a decimal rounded to 3 places. Working together, the two crews will construct the wall in which as a decimal is hours. hours (fraction),

Maria read in the newspaper that 59% of voters in her city were voting "no" on a local initiative measure. The newspaper article stated that 772 people were originally polled. What is the margin of error for this survey? 4.6% 2.6% 3.6% 1.6%

In testing their recording devices, a team of seismologists positioned two of the devices 2000 feet apart, with the device at point A to the west of the device at point B. At a point between the devices and 200 feet from point B, a small amount of explosive was detonated. A second explosion is to be carried out at a point directly north of point B. How far north should the site of the second explosion be chosen so it is directly north of point B? Imagine what this would look like on the coordinate plane ... what do we know about the graph and/or equation of this hyperbola?

Sam bought three folders and one notebook from the office store and spent $8.25. He went back the next day and bought two more folders and three more notebooks and spent $16. If the prices did not change between the days, find the cost of one folder.

Mrs. Browne wants to start a college fund for her newest addition, Wade. She makes a payment of $50 at the end of each month into an ordinary annuity account paying a 3.5% annual interest rate, compounded monthly. How much will be in the account after 18 years and Wade is ready to go to college?

In 2017, the number of students enrolled in a high school was 232. It is estimated that the student population will increase by 3% every year. Estimate the number of students that will be enrolled in 2027.

A 28 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach? Round to the nearest tenth. Enter your answer, as a decimal, in the box.

Kristina needs to mix a 10% alcohol solution with a 60% alcohol solution to create 100 millileters of a 10% solution. How many millileters of each solution must Kristina use? Answer: Kristina must mix millileters of 10% solution and millileters of 60% solution.

Hannah can paint a room in 20 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.

A town's population has been growing linearly. In 2003, the population was 57000, and the population has been growing by 700 people each year. Write an equation for the population years after 2003. P(x) =

In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

A solution is prepared by dissolving 25.0 g of NaCl in 500.0 g of water. What is the molality (m) of NaCl in the solution? The density of the solution is 1.0 g/mL. A) 0.000856 B) 0.0500 C) 50.0 D) 8.56 E) 0.856

Solve and check the linear equation. 3(x-5)+16=2(x+4) What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is {7}. B. The solution set is {x|x is a real number}. C. The solution set is Ø.

The difference of two numbers is 3 and the sum of their squares is 45. Find the numbers. List any unique pairs of numbers that satisfy the given conditions. (Type an ordered pair, with the larger number listed first. Use a comma to separate answers as needed.)

A store sells cashews for $6.00 per pound and peanuts for $3.00 per pound. The manager decides to mix 20 pounds of peanuts with some cashews and sell the mixture for $4.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately? There should be pounds of cashews in the mixture. (Type an integer or a decimal.)

A wireless store owner takes presale orders for a new smartphone and tablet. He gets 160 preorders for the smartphone and 190 orders for the tablet. The combined sale of the preorders is $181,250. If the price of a smartphone and a tablet together is $1,055, find the cost of one smartphone and the cost of one tablet. What is the cost of one smartphone? What is the cost of one tablet?

A landscaping company charges $40 per cubic yard of mulch plus a delivery charge of $29. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch. C(x) =

Gordon has paper strips that are all equal in length. He lines them up end to end. When the line of paper strips is 3 feet long, Gordon says there are 12 paper strips. What is the length, in feet, of one paper strip if Gordon is correct?

In a Northwest Georgia County, the speed limit is 35 miles per hour. The speeding fines are determined by the formula: F(s) = 8(s 35) + 95 where F(s) is the cost, in dollars, of the fine if a person is caught driving at a speed of s miles per hour. If a fine comes to $303, how fast in mph was the person driving?

A group of scientists is studying Streptococcus lactis, which is used in the production of cheese. The initial population for a colony of bacteria is 15,000, and the population can double every 50 minutes under certain conditions. Which graph represents the bacteria's population as a function of time, in minutes? (1 point)

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 vans and 3 buses with 264 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

The midpoint of AB is at (-1, -1). If A = (9,5), find B. B is:(

A solution is prepared by disserving 15.0 g of NH3 in 250.0 g of water. The density of the resulting solution is 0.974 g/mL. The molarity of NH3 in the solution is M. A) 0.00353 B) 0.882 C) 60.0 D) 3.24 E) 3.53

The number of girls varied directly as the number of boys and inversely as the number of teachers. When there were 50 girls, there were 20 teachers and 10 boys. How many boys were there when there were 10 girls and 100 teachers?

The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years? P= 10,000(0.2)t P = 10,000(1.8)t P = 10,000(0.8)t P= 10,000(1.2)t

William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $4,000 for their reception. If the reception hall charges a $80 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.

Kyle spent more than 37 minutes swimming last night. Which of the following amounts of time could Kyle have been swimming? Select all that apply. Choose all that apply: 2350 seconds 2050 seconds 2250 seconds 2150 seconds

[8 points] Suppose you have invested $2200 at an APR of 3%. Use the Rule of 72 to estimate how long it will be until your investment reaches $4400. It will take approximately Select- years for the investment to reach $4400.

A concrete pillar has the shape of a cylinder. It has a diameter of 8 meters and a height of 6 meters. If concrete costs $106 per cubic meter, how much did the concrete cost for the pillar?

What is the freezing point (°C) of a solution prepared by dissolving 11.3 g of Ca(NO3)2 in 115 g of water? The molal freezing point depression constant for water is (Assume 100% ionization of Ca(NO3)2.) A)-3.34 B) -1.11 C) 3.34 D) 1.11 E) 0.0 B)-1.11 C) 3.34 E) 0.00 A)-3.34 D) 1.11

Which condition makes the statement below false? "If I have an alibi, then I am innocent" Hint: When is a conditional false? I do not have an alibi and I am not innocent I have an alibi and I am not innocent I have an alibi or I am innocent I do not have an alibi or I am innocent

Which segment does not belong with the other three? Explain your reasoning. radius: It is smaller than the other segments. diameter; It is the only segment through the center. tangent, It is the only segment outside the circle. chord; It is the only segment with endpoints on the circle.

The student population in the Greenville school system is increasing about 10% each year. This year there are 3120 students in the Greenville school system. If this trend continues, which of the following is closest to the number of students who will be in this school system 3 years from now? 3400 4000 4200 9400

Air Transportation: A standard M-6 air cargo container is 19.8 feet long, 7 feet wide and 7.3 feet tall. For the purposes of this project, when it is completely filled each container can hold up to 21,500 cellphones, and the transportation cost is $24,000 per container. How much will it cost per cellphone to use this mode of transportation?

A recreational softball league is considering some rule changes. In order to know how the players feel, league officials sent out a survey by email to all the players in the league. What type of sampling method did the league use? Self-selected Stratified Systematic Cluster

A pyramid shaped building is 837 ft tall with a square base that is 156 ft on each side. What is the volume of the pyramid?

John invests $2800 into an investment account described by the equation A = 2800 (e-07-t). If interest is compounded continuously, how much is in his investment account at the end of 5 years? (Round to the nearest penny)

William spends $2,500 on a bedroom furniture set on a store credit account. If he is not required to make payments for three years, but the interest is compounded yearly at 8.5%, how much interest will he owe after 3 years? $2,508.50 $693.22 $212.50

A laptop computer is purchased for $1050. After each year, the resale value decreases by 25%. What will the resale value be after 5 years? Use the calculator provided and round your answer to the nearest dollar. $0 X

Use the given circumference to find the surface area of the spherical object. a pincushion with C = 24 cm The surface area of the pincushion is cm².

A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.25. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 25% and the price of coffee will go up 35%. After the increase, the total price of the purchase will be $5.74, and a fruit bowl will cost 3 times as much as a croissant. F

Mrs. Travis wants to have a clown deliver balloons to her secretary's office. Clowns R. Fun charges $1.25 per balloon and $6 delivery. Singing Balloons charges $1.95 per balloon and $2 for delivery. What is the minimum number of balloons Mrs. Travis needs to purchase in order for Clowns R Fun to have a lower price than Singing Balloons?

The circumference of a circular field is 273.18 yards. What is the radius of the field?

Based on past experience, a building contractor sets the probability of winning a contract is 30%. The contract is worth $25,000 and the cost to prepare the contract proposal is $2,400. What is the expected value of the contract proposal? $5,100 $6,780 -$5,100 $22,600

The formula v= √2.5r models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 810 feet. What is the maximum safe speed? A. 81 miles per hour B. 50 miles per hour C. 42 miles per hour D. 45 miles per hour