Math Questions

Two groups of students on a fieldtrip is getting food in a fast food restaurant. The first group bought 8 burgers and 4 soft drinks for $34.08. The second group bought 5 burgers and 5 soft drinks for $25.25. How much does one burger cost? $1.58 per burger $2.97 per burger $3.47 per burger $2.08 per burger

A landscaping company placed two orders with a local nursery. The first order was for 13 bushes and 4 trees and totaled $487. The second order was for 6 bushes and 2 trees and totaled $232. What was the cost of each bush and each tree? Bushes $31, Trees $64 Bushes $47, Trees $23 Bushes $23, Trees $47 Bushes $23, Trees $52

Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35 and the 9th term of the arithmetic sequence is 50. What is the common difference? What is a, ? What is the explicit formula? Write in the form 10+4(n-1) where 10 is 1st term, 4 is the common difference

The area of a rectangle is equal to x² +10x+16 square units. If the length of the rectangle is equal to x+8 units, what expression represents its width? DIVIDE x-2 x+2 x + 4.00 x+8

A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked. Suppose that x and y are related by the equation 3x+52 = y. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per day in the road's length? What was the road's length when the crew started working?

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 1.3. We would like to be 90% confident that the esimate is within 0.5 of the true population mean. How large of a sample size is required?

Drag and drop an answer choice into each empty box below. -11 4 -4 11 Consider the points R(6,5) and U(-5,–6). RU undergoes the translation (x, y) → (x + h, y + k), such that R'(-5, 1) and U'(-16, -10). Complete the following algebraic description. Drag the corresponding values. (x, y) → (x+

Describing the Effect of the y-Intercept When comparing functions, such as Seth's scenarios for travelling to school, will the function with the greatest initial value continue to be the greatest as time increases? Explain why.

Estimate the population mean by finding a 99% confidence interval given a sample of size 11, with a mean of 41.7 and a standard deviation of 11.2. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? b. Is n > 30? Confidence Interval: What is the 99% confidence interval to estimate the population mean? Enter the tri-linear inequality values accurate to one decimal place.

There are 10 balls in a bag: 5 red, 2 blue, 2 green, and 1 yellow. Answer each question by reporting probability as a simplified fraction, a decimal, or a percent. Part A: If you draw one ball from the bag, what is the probability of drawing a red ball? Part B: If you flip a coin and draw a ball from the bag, what is the probability of "tails" and "green"? Part C: If you draw a yellow ball first and do not replace it, what is the probability of drawing blue on the second ball? Part D: What is the probability that you will draw yellow first and blue second?

Answer the following. (a) The signal from a certain satellite takes approximately 0.013 seconds to reach Earth. Write this number in scientific notation. (b) The total surface area of South America is approximately 6.89 x 106 square miles. Write this number in standard notation.

Two cities are 2000 km apart and lie on the same north-south line. The latitude of the northernmost city is 53° N. What is the latitude of the other city? The radius of the Earth is approximately 6400 km. The latitude of the other city is approximately N. (Do not round until the final answer.

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $4600 and his stock in Company B was worth $1000. The stock in Company A has increased 25% since last year and the stock in Company B has increased 22%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Solve ΔABC with A = 69°, b = 34, and c = 46 a = 46.38, B = 43.19°, C = 67.81° a = 46.38, B = 41.74°, C = 69.26° a = 45.15, B = 43.19°, C = 67.81° a = 46.38, B = 41.74°, C = 69.26°

A store is having a sale on trail mix and jelly beans. For 8 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of trail mix and 5 pounds of jelly beans, the total cost is $10. Find the cost for each pound of trail mix and each pound of jelly beans.

Find the area between the curve y = x e x 2 and the x-axis from x = 3 to x = 5. (Leave the answer in its exact form.)

A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if θ=145° and r= 36 yd. The area of lawn that receives the water is square yards. (Round to the nearest integer as needed.)

Ben walks at a rate of 3 miles per hour. He runs at a rate of 5 miles per hour. In one week, the combined distance that he walks and runs is 170 miles. If Ben walks for 10 hours, how many hours does he run?

Write the slope-intercept form of the equation of each line given the slope and y-intercept. Slope: -1/3 y intercept: -3

Fill in each blank with the appropriate response. (Remember that the vertical stretch or shrink factor is positive.) The graph of y=- 1/5 [x-8]-7 can be obtained from the graph of y = [x] by shifting horizontally units to the vertically shrinking by applying a factor of reflecting across the -axis, and shifting vertically units in the direction. (Type whole numbers.)

Last year, a baseball team purchased new equipment. The equipment manager paid $20 per bat and $12 per glove, spending a total of $552. The manager bought 34 pieces of equipment. Write a system of equations that can represent this situation.

A person's blood type is denoted with the letters A, B, and O, and the symbols + and -. The blood type A+ is read as A positive. The blood type B- is read as B negative. Use the data to write a ratio for the comparison in 3 different ways. AB- donors to AB+ donors

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.

Graph the data. Then find the slope of the line. Explain what the slope represents. At 6 A.M., the retention pond had 28 inches of water in it. The water receded so that at10 A.M. there were 16 inches of water left.

A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 9 years of operation. (Round your answer to two decimal places.) r(t) = t/ t2 + 1

Find (fog)(1), (g o f)(1), (f o g)(x) and (gof)(x). f(x) = x² + 1; g(x) = 3x - 4 (fog)(1) =

Use the unit circle, along with the definitions of the circular functions, to find the exact values for the given functions when s= -2π. sin (-2π), cos (-2π), tan (-2π)

As shown in the illustration, Alexa had a negative balance in her checking account before depositing a $47.00 check. What is the new balance of Alexa's checking account? What property did you use to find the sum?

She receives 70 rewards points just for signing up. She earns 3.5 points for each visit to the movie theater. She needs 105 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number Aria must make to earn a free movie ticket.

Find the domain of the function f(x) = In (x-3) + log (x - 5). (Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

Which of the following is NOT involved in the process of interpreting pictures? Determine what type of picture it is. Form an opinion on the quality of work. Analyze the author's intentions. Observe the elements of the picture.

The average height of young adult males has a normal distribution with standard deviation of 2.4 inches. You want to estimate the mean height of students at your college or university to within one inch with 99% confidence. How many male students must you measure?

A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level road if the entire trip was 498 miles.

After the end of an advertising campaign, the daily sales of a product fell rapidly, with daily sales given by S=3500e-0.12x dollars, where x is the number of days from the end of the campaign. a. What were daily sales when the campaign ended? b. How many days passed after the campaign ended before daily sales were below half of what they were at the end of the campaign?

Antibiotic resistance occurs when disease-causing microbes no longer respond to antibiotic drug therapy. Because such resistance is typically genetic and transferred to the next generations of microbes, it is a very serious public health problem. Gonorrhea is the second most commonly reported notifiable disease in the United States. According to the Centers for Disease Control and Prevention (CDC), 27% of gonorrhea cases tested in 2010 were resistant to at least one of the three major antibiotics commonly used to treat this sexually transmitted disease. The CDC reported that 38% of gonorrhea cases tested in 2014 were resistant to at least one of the three major antibiotics commonly used to treat gonorrhea. (a) In 2010, out of 10 randomly selected gonorrhea cases, what is the mean of the count of cases X showing resistance to at least one of the three major antibiotics? (Enter your answer rounded to one decimal place.)

Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of male Swedes. Forty-eight male Swedes are surveyed. The sample mean is 73 inches. Round answers to 3 decimal places. a. Find the following: i. = ii. o = iii. n = b. Construct a 95% confidence interval for the population mean height of male Swedes. i. State the confidence interval. ii. Calculate the error bound. c. What will happen to the size of the confidence interval if 1,000 male Swedes are surveyed instead of 48? The confidence interval will

1. Zachary's final project for a college course took a semester to write and had 95,234 words. Zachary wrote 35,295 words the first month and 19,240 words the second month. a. Round each value to the nearest ten thousand to estimate how many words Zachary wrote during the remaining part of the semester.

Joel sells ice cream cones at the county fair. He has to rent the equipment for $34 and spend $0.53 on ingredients for each cone. Write an inequality and solve it to represent the possible numbers of ice cream cones that he must sell at $1.10 each in order to make a profit.

Mr. Harris has some money in his wallet. He pays the babysitter $12 an hour for 4 hours of babysitting. His wife gives him $10, and he puts the money in his wallet. By how much does the amount in his wallet change?

Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age. (a) If x represents the age of the youngest child, then write an equation that models this scenario.

A psychologist finds there is a probability of 0.51 that people have a specific fear. The psychologist then decides to research this further by selecting a random sample of 64 people from the population. (a) What is the mean of the sampling distribution of the sample proportion? n p n(1-P) p (b) What is the value of n*p? Use 2 decimal places in answering this and the next question. (c) What is the value of n*(1 - p)? (d) Determine whether the following statement is true or false. We can conclude that the sampling distribution of the sample proportion is approximately normal. True, both values in (b) and (c) are greater than or equal to 15 and the CLT applies. False, and the CLT does not apply.

At a concession stand, seven hot dog(s) and four hamburger(s) cost $16.00; four hot dog(s) and seven hamburger(s) cost $19.75. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? What is the cost of one hamburger?

In a test for ESP (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. As the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. A subject who is just guessing has probability 0.25 of guessing correctly on each card. (a) The count of correct guesses in 20 cards has a binomial distribution. What is the value of n? (Enter your answer as a whole number.) n= What is the value of p? (Enter your answer rounded to two decimal places.) P=

Rewrite the expression e^5 ln(x) so that no exponential or logarithmic functions are involved. The formula b^ln t = r and the basic rules of exponents will be helpful. Assume that x and y are positive.

Blood type AB is somewhat rare in the United States (it is found in 4% of the general population). It is particularly useful for plasma transfusions because this plasma can be accepted by individuals with all blood types. The plasma is the liquid part of the blood once all cells are removed. You count the number X of AB donors who come to a fixed Red Cross location per day. This count has the Poisson distribution, with parameter being the mean number of AB donors per day. (a) The donation center sees an average of 2.1 AB donors per day. Find the Poisson probabilities for X = 0, 1,2,3,4,5. P(X = 0) = P(X= 1) = P(X=2)=

Stephen makes a base monthly salary of $1500. As a vendor, he must sell $20,000 worth of items per month. He also makes a 4% commission on all sales beyond the monthly quota. If Stephen sold $26,000 worth of items this month, what was his total salary for the month, including base salary and commission, to the nearest dollar? $1740 $240 $1500 $6,000

Explain why 323.202 is less than 323.21 even though 202 is greater than 21.

A modified roulette wheel has 28 slots. One slot is 0, another is 00, and the others are numbered 1 through 26, respectively. You are placing a bet that the outcome is an odd number. (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning? The probability of winning is (Type an integer or a simplified fraction.)

Newfoundland is a large breed of dog. It weighs about 10 x 10 pounds. Write 10 × 10 using an exponent. Then find the value of the power. How many pounds does the Newfoundland weigh?

Wally Beige has painted a rectangular mural that is 8 ft tall and 10 ft wide. He plans to paint a border of equal width all the way around the outside of the mural. To end up with a border that has an area of 144 square ft, find the width of the border. Answer: ft