Math Questions

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?

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

Given events A and B are mutually exclusive events, that is, A and B are mutually exclusive events with P(A)=0.2, P(B)=0.3, find P(A∩B).

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?

Assume that a sample is used to estimate a population mean μ. Use the given confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. Round your answer to one more decimal place than the sample standard deviation. 95% confidence; n = 51; x = 240; s = 242 143.0 61.3 88.5 68.1

Fabian is 1.65 meters tall. At 12 noon, he measures the length of a tree's shadow to be 18.35 meters. He stands 13.6 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Let U ={a,b,c,d,e,f,8,9,10,11,12,13), X = {a,b,c,9,10,11), and Y = {b,d,f,8,10,12). List the members of the set X'nY', using set braces. X'∩y' = (Use a comma to separate answers as needed.)

Change the logarithmic equation to an equivalent equation involving an exponent. In x = 9 The equivalent exponential equation is

For a project in her Geometry class, Chloe uses a mirror on the ground to measure the height of her school's football goalpost. She walks a distance of 13.65 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. She then walks 4.7 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.

A newsletter publisher believes that 26% of their readers own a personal computer. Is there sufficient evidence at the 0.01 level to refute the publisher's claim? State the null and alternative hypotheses for the above scenario. Answer: Ho: Ha:

A half-century ago, the mean height of women in a particular country in their 20s was 62.4 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.28 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 28 of today's women in their 20s have mean heights of at least 63.33 inches? About of all samples have mean heights of at least 63.33 inches. (Round to one decimal place as needed.)

A boxer needs to lose 3 1/2 kg in a month to be able to compete as a flyweight. In three weeks, he lowers his weight from 55.5 kg to 53.8 kg. How many kilograms must the boxer lose in the final week to be able to compete as a flyweight?

Solve the linear programming problem using the simplex method. Maximize P=2x₁ + 3x₂ + 4x3 X₁ + X3 ≤24 subject to x2 + x3 ≤18 X1, X2, X3 20 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum value of P is B. There is no optimal solution.

Suppose Robbie is the educational director for a group of teen test prep programs in Nevada. He knows that the mean score on Nevada's mathematics exam is 114 points with a standard deviation of 18 points. Robbie thinks the teens in his program score differently than the population mean on Nevada's mathematics exam. To test his claim, he randomly selects 250 of his students and finds the mean test score of the sample to be 117 points. a. What are Robbie's null (Ho) and alternative (H₁) hypotheses? A. Ho: u 114 pts and H₁: u 114 pts B. Ho: u 114 pts and H₁: u> 114 pts C. Ho: x= 114 pts and H₁: x # 114 pts D. Ho: u 117 pts and H₁: u 117 pts E. Ho: x= 117 pts and H₁:x> 117 pts b. What is the z-statistic? Give your answer precise to two decimal places. c. What is the positive critical value z for a significance level of a= 0.05? Give vour answer precise to at least two decimal places.

The formula D=20 e -0.6h can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug was administered. When the number of milligrams reaches 4, the drug is to be administered again. What is the time between injections? The time between injections is hour(s). (Round to two decimal places as needed.)

Let U = { 6, 7, 8, 9, 10, 11, 12), A = {8, 10, 11, 12). Use the roster method to write the set A'. (Use a comma to separate answers as needed.)

Write inequalities to represent the situations below. To get the 10% discount, a shopper must spend more than $300. Used to represent the spending (in dollars) of a shopper who gets the discount. The temperature inside the lab refrigerator is no more than 35 °F. Use t to represent the temperature (in °F) of the refrigerator.

Type the missing number to complete the proportion. 18 plants in 1 row 72 plants in rows