Basic Math Questions and Answers

On a shelf at a gaming store, there are nine Sony Playstations and seven Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.

Recently, a certain bank offered a 5-year CD that earns 2.32% compounded continuously. Use the given information to answer the questions. (a) If $10,000 is invested in this CD, how much will it be worth in 5 years? approximately $ (Round to the nearest cent.) (b) How long will it take for the account to be worth $35,000? approximately years (Round to two decimal places as needed.).

Federal rules state that a drone cannot fly within 5 miles of an airport. If a drone is 2.71 miles east and 3.92 miles north of the nearest corner of an airport and is flying at a height of 0.07 miles above the ground, is it in violation of the rule? Yes, because it is approximately 4.77 miles from the nearest corner of the airport. Yes, because it is approximately 4.84 miles from the nearest corner of the airport. No, because it is approximately 6.56 miles from the nearest corner of the airport. No, because it is approximately 6.70 miles from the nearest corner of the airport.

A company announced mailing coupons to its loyal customers. 25% of the coupons are for icecream only and 20% of the coupons are for pizza only. Given that a customer can get at most one coupon, what is the probability that they get coupons for both pizza and icecream? Assume Event A: getting a coupon for icecream; Event B: getting a coupon for pizza.

Ohm's law of electricity states that V = IR, where V is voltage represents the resistance. a. Rewrite the equation to isolate I. b. If V 220 volts and R = 4 ohms, what is the value for l? c. Rewrite the equation to isolate R. d. If V = 550 volts and I= 1.5 amperes, what is the value of resistance?

Alex deposits $9,000 in a Certificate of Deposit (CD) with an APR of 1.2%, compounded monthly. How much will be in the CD in 9 years, to the nearest dollar? The formula for compound interest is given below. A = P(1 + r/100)nt

Suppose the charge account of Strong's Mailing Service at the local supply store had a 1.8% interest rate per month on the average daily balance. Find the average daily balance if Strong's had an unpaid balance on March 1 of $184.10, a payment of $50 posted on March 11, and a purchase of $26.50 posted on March 24. The billing cycle ends March 31.

A small motorboat travels 14 mph in still water. It takes 5 hours longer to travel 31 miles going upstream than it does going downstream. Find the rate of the current. (Hint: 14+x=rate going downstream and 14 - x = rate going upstream.) (Round your answer to the nearest tenth.)

James has a mortgage of $94,500 at 8% for 30 years. The property taxes are $3,900 per year, and the hazard insurance premium is $764.50 per year. Find the monthly PITI payment (in $). (Round your answer to the nearest cent. Use this table as needed.)

The percentage of Americans who are retired has been increasing over the last decade. This is causing some concern because health care, social security, and other costs will be the responsibility of a smaller group of people. That is, as the percentage of retired people increases, the percentage of working age people decreases. The following model predicts the percentage of retired people based on demographic data: R=t/873.36-2.15 where R is the percentage (as a decimal) of Americans who are retired in the year t (for example, the year 1995 would be t = 1995). Use the formula to predict the percentage of retired people in 2028. Give the answer as a percent, rounded to the nearest tenth of a percent.

For the new fall season, a network president has 12 shows in development, and 8 openings in the prime time schedule. In how many ways can she arrange new shows to fit into the schedule?

Solve the logarithmic equation. Express all solutions in exact form. 2 Inx=14 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is { (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The solution is the empty set.

A. Write the hypotheses for each situation below. a. In Fall 2019, 19.3% of all CSUN students were in the College of Social and Behavioral Sciences (CSBS). You want to test whether the percentage is larger this semester. In a random sample of 150 current CSUN students, 33 are in CSBS. Ho: Ha: b. Same as part a except you want to test whether the percentage has changed this semester. Ho: Ha: B. In part A, what does the symbol in your hypotheses stand for? Circle the best words: The symbol stands for the NUMBER / PROPORTION of CSUN students IN THE SAMPLE / AT CSUN during FALL 2019/ THIS SEMESTER who are in CSBS. C. Compute the test statistic, z, for this test. Round final answer to two decimal places. D. Based just on this value of z, should you reject the null hypothesis in A, part b? Explain.

Which of the following numbers best describes inequality above? A) [0,4/3) B)[4/3, ∞) C) (-∞, ∞) D) (-∞, -4]u[3, ∞)

Write the first term of the given expression as a perfect cube. The number 125 is a perfect cube which can be written in exponential form. 125 = 5 x 5 x 5 Substitute the exponential form found above into the given expression. Then, use the power of a product rule for exponents to write the first term in the form a³. 125x³ 1 = ( )^3 (x)³ - 1 = ( )^3 - 1

Determine which situation could be represented by the following system of linear equations. x + y = 70 8x + 5y = 410 A. Evaporated milk comes in eight-ounce cans and five-ounce cans. A grocery store sold 410 ounces of evaporated milk in 70 cans. B. At the floral shop, Mary buys eight large bouquets and five small bouquets for a total of $410. Mark buys one large bouquet and one small bouquet for $70 less than Mary pays. C. Packs of file folders cost $8 each and boxes of pens cost $5. An office manager ordered 70 more boxes of pens than packs of file folders and paid a total of $410. D. Each student at an elementary school is required to have five notebooks and eight pencils. One grade has a total of 70 school supplies and another grade has a total of 410 school supplies.

Which expression is equivalent to the given expression? 10g + 5 5q +5g +5 10q+5+5 5g + 10 5q +5

Can the following be factored? If so, factor it: 16x6-80y² Yes, (4x³+8y)(4x³-10y) Yes, (4x³+20y)(4x³-20y) Yes, (4x³+20y2)(4x³-20y²) Yes, (4x3+40y)(4x³-40y) Cannot be simply factored.

Solve the word problems using the RDW strategy. Show all of your work. Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it and gave the leftovers to his friends. What fraction of the pie did he give to his friends?

An entertainment center is financed at a total cost of $2,364.99 including a down payment of $300. If the center is financed over 24 months, find the monthly payment. The monthly payment is $(Round to the nearest cent as needed.)

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 12. If 16 fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? 0.3270 0.4032 0.0968 0.6730

This equation can be used to predict the population p (in thousands) of Barbaria, a mythical country, for a given year,t where t is the number of years since 1950: p = 15,498 + 446t a. To find the predicted population in 2020, what should you use for t? Compute the population predicted for 2020. Write the answer using the word "thousands." Without using the word "thousands." b. Compute the population predicted for 2021. In the answer, don't use "thousands." c. How much does the population increase each year?

Factor the difference of cubes. Recall that a difference of cubes can be rewritten such that a³ b³ = (a - b)(a² + ab + b²). Factor the difference of cubes. Then, simplify the terms. (4x³)3 - (3y)3

Serafina is solving a number puzzle that involves three integers, e, f, and g, where e is negative. The product of e and fis-15. The product of e and g is 6. The product of f and g is -10. What are the values of e, f, and g? Show your work.

Suppose the charge account of Black's Mailing Service at the local supply store had a 1.7% interest rate per month on the average daily balance. Find the Black's finance charge on April 1 if Black's had an unpaid balance on March 1 of $148.96, a payment of $25.00 posted on March 12, and a purchase of $27.06 posted on March 22. The billing cycle ends March 31. The Black's finance charge is (Round to the nearest cent as needed.)

Let B={-20, -19, 0, 19, 20}, and D = {-19}. Insert C or to make the following statement true. D ____ B Choose the correct answer below. A. Not every element of D is also an element of B, so D B. B. Every element of D is also an element of B, so D B. C. Not every element of B is also an element of D, so D B. D. Every element of B is also an element of D, so D B.

Oscar, Renee, Penny and Hugo, all turkeys, are wandering through the beautiful forest. They spot seven bees and five cockroaches, and in the trees, they see eight spiders. There are also four deer and four boars. Behind a bush, they can see a pair of antlers. How many legs are there in total?

ALGAE Ronald owns a fish tank in the shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronald went on a one-month vacation. When he returned he found that the sides and bottom of his fish tank were covered with algae. What is the area that was covered?

In a random sample of 25 students at college, the average IQ was x = 103. Assume that the IQ of a student in college follows a Normal distribution with unknown mean and standard deviation = 15. A 90% confidence interval for u is (78, 128). (97, 109). (98, 108). (102, 104).

A bird traveled 72 miles in 6 hours flying at constant speed. At this rate, how many miles did the bird travel in 5 hours? 12 30- 60 14.4 I don't know (I need help with these type of questions)

A flagpole 94.4 ft tall is on the top of a building. From a point on level ground, the angle of elevation of the top of the flagpole is 35.7°, while the angle of elevation of the bottom of the flagpole is 25.4°. Find the height of the building.

Automatic transmissions and manual transmissions achieve the same goal: They use power to turn the wheels of a car. However, there are some differences between the two. An automatic transmission makes a car easy to drive; but stick shift drivers believe that automatics aren't quite as fun. There are other differences as well. A car with a manual transmission usually uses less fuel. This is because the driver has greater control over the car; it is the driver, not the car, who is "in the driver's seat." A manual transmission also has more power and can accelerate faster. This is why race cars have manual transmissions. Which organizational pattern is used in the passage? A. Sequential B. Problem-solution C. Cause and effect D. Compare and contrast

For a project in her Geometry class, Tamika uses a mirror on the ground to measure the height of her school's football goalpost. She walks a distance of 14.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. She then walks 4.2 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.65 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.

Consider the trinomial x² - 11x + 18. In preparation for factoring it by grouping, write -11 as a sum or difference of factors of 18.

Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, al, and the number of accessories sold, y.

Arnold Brown has a Visa Card with an annual percentage rate of 16.8 %. The unpaid balance for his June billing cycle is $1,054.33. During the billing cycle he purchased a printer cartridge for $43.72, books for $291.59 and gasoline for $17.06. He made a payment of $1,000. If the account applies the unpaid balance method, what are the finance charge and the new balance?

A total of 568 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 more student tickets sold than adult tickets. How many adult tickets were sold?

Solve the system of equations using Cramer's Rule if it is applicable. 3x - y = 10 2x + 2y = 12 Write the fractions using Cramer's Rule in the form of determinants. Do not evalua

1/9+5/6 Least multiple that is the same: Add using renamed fractions:

Peg and Larry purchased "no contract" cell phones. Peg's phone costs $25 plus $0.25 per minute. Larry's phone costs $35 plus $0.20 per minute. After how many minutes of use will Peg's phone cost more than Larry's phone?

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 12 hotdogs and each large pack has 24 hotdogs. The school bought 4 times as many small packs as large packs, which altogether had 144 hotdogs. Graphically solve a system of equations in order to determine the number of small packs purchased, z, and the number of large packs purchased, y.

Karen, Dan, and Josh sent a total of 109 text messages over their cell phones during the weekend. Josh sent 4 times as many messages as Dan. Dan sent 5 more messages than Karen. How many messages did they each send? Number of text messages Karen sent: Number of text messages Dan sent: Number of text messages Josh sent;

The families "a", "b" and "c" are invited to dinner. The probabilities that each family will come are 0.8, 0.6 and 0.9, respectively. In addition, each family's decision is independent of the decisions of the other families. Find the probability that NONE of the families come. Define Event A: the family "a" comes; Event B: the family "b" comes; Event C: the family "c" comes.

On an exam for a class with 54 students, the mean score was 77.2 points. The instructor rescored the exam by adding 6 points to the exam score for every student. What was the mean of the scores on the rescored exam?

Factor the following polynomial if possible. Hint: Using an identity will be helpful. 27x3+y³z³ Cannot be simply factored. (3x+yz) (9x²-3xyz + y²z²) (2x+yz)(4x²-2xyz + y²z²) (3x-yz) (9x²+3xyz + y²z²) (3x+yz) (9x²-3x²y²z²+²z²)

Which of the following sets of numbers could represent the three sides of a triangle? {10, 21, 32} {14, 24, 40} {13, 17, 32} {13, 16, 27}

A company manufactures electronic components that each must weigh from 29.5 grams to 30.5 grams, inclusive. Which of the following inequalities describes all acceptable weights x, in grams, for each component? (A) |30-x| ≤0.5 (B) |30-x| >0.5 (C) 30-x≤ 0.5 (D)30-x>0.5

Michael wishes to give his son a savings bond that will mature in 8 years. He would like the value of the savings bond to be $5,000 at maturity. If he can invest in a bond that has an annual interest rate of 4% compounded monthly, which of the following is the best approximation of the amount he should invest? (A) $3,200 (B) $3,350 (C) $3,500 (D) $3,650

Define a variable and write an inequality. Then sol Marlea received an inheritance of $10,000. She plans to invest some in a stock that pays 7% interest annually. She will deposit the remainder in a savings account that pays 5% interest annually. What is the least amount that Marlea can invest in stock if she wants to earn at least $550 on her investments for the year?

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a.Write an equation that can be used to find the number of swimming lessons that she paid for. b. Find the number of swimming lessons she paid for. C.The cost of a swimming lesson rises to $19. How many lessons can she pay for with the remaining $237?