Math Questions

A beverage company announced in the last year that 60% of their products had discounts, 70% of their products were sugar-free and 40% were both. What is the portion of products that either had discounts or were sugar-free? Assume Event A: the product had discounts; Event B: the product was sugar-free.

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, ∞)

2. Use A = Pe^rt to solve the following problem. A sum of $14,000 is invested at an interest rate of 6.85% per year. Find the amount in the account after 10 years if the interest is compounded continuously.

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

A baseball supply store has many inexpensive baseball gloves. In fact, over half of the gloves in stock cost less than $50. However, there are also a few high-end, more expensive gloves in stock. Some of those gloves cost over $300. The store owner wants to advertise her store. She wants to advertise to local children's baseball teams. She wants to advertise that her store is a place to buy reasonably priced items. Which number should she use in the advertisement for the gloves? Median baseball glove price Mean baseball glove price Mode baseball glove price

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.

Use the Venn diagram to answer the question. In 2016, among the top 100 grossing movies in a particular country, 17 were rated PG-13 and earned over $100 million. The number of movies that were rated PG-13 that earned less than $100 million was 21. The number of movies that were not rated PG-13 that earned less than $100 million was 31. What was the number of movies that earned over $100 million and that were not rated PG-13? FERRE The number of movies that earned over $100 million and were not rated PG-13 was (Type a whole number.)

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?

In a group of seven Olympic track stars, three are hurdlers. If three track stars are selected at random without replacement, find the probability that they are all hurdlers. Express your answer as a decimal rounded to four places if necessary. P (All three are hurdlers) =

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?

Easton is working two summer jobs, making $18 per hour tutoring and $9 per hour clearing tables. Last week Easton worked 4 times as many hours tutoring as he worked hours clearing tables hours and earned a total of $162. Graphically solve a system of equations in order to determine the number of hours Easton worked tutoring last week, x, and the number of hours Easton worked clearing tables last week, y.

Use the following system of equations to answer the following: ax + 5y = 2 3x+10y = 4 a. Write both equations in slope-intercept form. (You must show work in order to receive full credit.)

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

➤ 4-19 When she was younger, Mary had to look up at a 68° angle to see into her father's eyes whenever she was standing 15 inches away. How high above the flat ground were her father's eyes if Mary's eyes were 32 inches above the ground?

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.

What is the next fraction in this sequence? Simplify your answer. 4/9, 7/18, 1/3, 5/18, ...

Two pipes can fill a tank in 64 minutes if both are turned on. If only one is used, it would take 54 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)

The hour hand on a clock is 4 inches long. Between 7 p.m. and 11 p.m., the hour hand travels along an arc subtended by an angle of 2π/3 radians. Approximately how many inches does the tip of the hour hand travel along the arc during that time? 5.65 inches 8.38 inches 16.75 inches 4.19 inches

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?

A particular sound wave can be graphed using the function y = sin4x. Find the amplitude and period of the function. a. amplitude = 1, period= (1/2)p b. amplitude = 2p, period=-1 c. amplitude = (1/2)p, period = 1 d. amplitude = -1, period = 2 Please select the best answer from the choices provided

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.

A marble is drawn from a box containing 2 yellow, 3 white, and 19 blue marbles. Find the odds in favor of drawing the following. (a) A yellow marble (b) A blue marble (c) A white marble

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.

For the function f(x) = 3x+5/x+5, find f-¹(x).

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?

Given that point (a,b) is a solution to an equation, which of the following statements must always be true? A. The point (a,b) lies on the graph of the equation. B. The point (a,b) lies on the graph of the equation where it crosses the y-axis. C. The point (a,b) lies on the graph of the equation where it crosses the x-axis. D. The position of the point (a,b) with respect to the graph of the equation cannot be determined.

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

The amount of water consumed each week by Montana residences is normally distributed. A simple random sample of 25 residences was taken with a sample mean of 120.3 gallons and a standard deviation of 10.0 gallons. Test the claim at the 0.10 SL that the average amount of water consumed is less than 125 gallons. Make sure to give the test-statistic and the p-value.

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)

Thirty-nine different video games showing violence were observed. The duration times of violence (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 90 sec, what does df denote, and what is its value? What does df denote?