Math Questions

The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and standard deviation 9 mL. Suppose that 44 randomly selected people are observed pouring syrup on their pancakes. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is d. For the group of 44 pancake eaters, find the probability that the average amount of syrup is between e. For part d), is the assumption that the distribution is normal necessary?

Ninety percent of individuals have brown/black hair, 8% of individuals have blond hair, and 2% of individuals have red hair. Suppose that of those with black/brown hair, 70% have blue eyes. Of those with blond hair, 85% have blue eyes. Of those with red hair, 60% have blue eyes. What is the probability that a randomly chosen individual does not have blue eyes? Note: Enter your answer in decimals and not percentages. Do not round your answer.

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes? $3.50 $7.50 $9.00 $16.50

The equation V = -2000t + 24,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $16,000, substitute 16,000 into the equation to find the age of the car. 4 years 5 years 6 years 3 years

On Sunday, a local hamburger shop sold a combined total of 492 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

The Magazine Mass Marketing Company has received 12 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.5. What is the probability that more than 8 of the entry forms will include an order? Round your answer to four decimal places.

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 9x + 2(2x - 5) = 7 - 4x Identity Conditional equation Inconsistent equation

The Stock Market Alexander is a stockbroker. He earns 12% commission each week. Last week, he sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? Last week, he made $ in commission. In 2011, he made $ in commission.

Name any two points on a horizontal line that is 8 units above the x-axis.

A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 253 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.36? There is a probability that the sample proportion of households spending more than $125 a week is less than 0.36. Round the answer to 4 decimal places.

For a 4-units class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 21 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.2 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between week. b) 95% of the students spend between week. c) 99.7% of the students spend between week. Check Answer hours and hours and hours and hours on Statistics each hours on Statistics each hours on Statistics each

Abutcher shop knows that it must buy a new machine in 5 years. The machine costs $15,000. In order to accumulate enough money for the machine, the shop owner decides to deposit a sum of money at the end of each 6 months in an account paying 6% compounded semiannually. How much should each payment be? The deposits form an because the deposits are made at the should be used. Each payment should be $ (Do not round until the final answer. Then round to the nearest cent as needed.) of each period. Therefore, the formula

At the beginning of the year, the odometer on an SUV read 37,839 miles. At the end of the year, it read 52,799 miles. If the car averaged 22 miles per gallon, how many gallons of gasoline did it use during the year? A) 14,960 gallons B) 680 gallons C) 329,120 gallons D) 68 gallons

Point Q' is the image of Q(4, -6) under a translation by 1 unit to the right. What are the coordinates of Q'?

A light bulb factory finds that 5 out of every 200 light bulbs are defective. If 5 bulbs are sampled, what's the probability of observing at most 1 defective bulbs? Note: Round to the nearest thousandth.

Stuart Daniels estimates that he will need $22,000 to set up a small business in 9 years. (a) How much (in $) must Stuart invest now at 8% interest compounded quarterly to achieve his goal? (b) How much compound interest (in $) will he earn on the investment?

Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 57 labor-hours available for assembly and 35 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output? Infotron should produce hockey games and soccer games

If s= 7 cm and t = 24 cm, what is the length of r? A. 38 cm B.31 cm C. 28 cm D. 25 cm

Reasoning Tommy earned $14.80 in interest after 4 years on a principal of $100. His simple interest rate is 3.7%. Jane earned $136.80 in interest after 3 years on a principal of $1,200. Her simple interest rate is 3.8%. Which bank would you rather use, Tommy's or Jane's? Explain your reasoning. Which bank would you rather use? A. Jane's because her bank accepted a smaller principal. B. Jane's because her bank offers a better interest rate. C. Tommy's because his bank paid more interest. D. Tommy's because his investment took less time.

Translate the sentence into an inequality. Nine subtracted from the product of 2 and a number is at most 15. Use the variable y for the unknown number.

Element X decays radioactively with a half life of 14 minutes. If there are 230 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 3 grams? y = a(.5)

Determine if the sequence is arithmetic. If it is, find the common difference and the explicit formula. -22, 122, -222, -322, ..

Arrows An Olympic archer is able to hit the bull's-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what's the probability of each of the following results? a) Her first bull's-eye comes on the third arrow. b) She misses the bull's-eye at least once. c) Her first bull's-eye comes on the fourth or fifth arrow. d) She gets exactly 4 bull's-eyes. e) She gets at least 4 bull's-eyes. f) She gets at most 4 bull's-eyes.

At time t seconds, the position of a body moving along the s-axis is s = (³-12t² + 45t) m. (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if necessary. Answer: -6,6 (b) Find the speed of the body each time the acceleration is zero. Enter your answer as a list if necessary. (c) Find the total distance traveled by the body from t=0 tot = 4. Σm

The population of Mathville is increasing exponentially . (a) Find a function that represents the population of Mathville, if in 2014 the population was 51,430, and the population last year was 76,600.

Noah is solving an equation and one of his moves is unacceptable. Here are themoves he made. 2(x+6)-4 = 8 + 6x original equation 2x + 12-4 = 8 + 6x apply the distributive property 2x+8 = 8 + 6x combine like terms 2x = 6x subtract 8 from both sides 2=6 divide each side by x Which answer best explains why the "divide each side by x step" is unacceptable? A. When you divide both sides of 2x = 6x by x you get 2x² = 6x² B. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while in fact the solution is x = 0. C. When you divide both sides of 2x = 6x by x you get 2 = 6x. D. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while in fact the solution is x = 3.

What is the fourth step in construction of perpendicular bisector of the line segment AB? Draw a line segment using the ruler. Label it AB. Draw a line from X to Y. The line XY is the perpendicular bisector of the line segment AB. Without changing the compass setting, place the pointed end of the compass on B. Draw arcs above and below the line segment to cut the first two arcs. Mark the points where these arcs meet. Call them X and Y. Place the pointed end of the compass on A and draw arcs above and below the line segment.

Claire has received scores of 85, 88, 87, and 75 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 83? A) 80 B) 79 C) 81 D) 78

A Food Marketing Institute found that 29% of households spend more than $125 a week on groceries. Assume the population proportion is 0.29 and a simple random sample of 343 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.31? There is a probability that the sample proportion of households spending more than $125 a week is less than 0.31. Round the answer to 4 decimal places.

A computer company makes desktop and laptop computers at factories in three states - California, Texas, and New York. The California factory produces 40% of the company's computers, the Texas factory makes 25% and the remaining 35% are made in New York. Of the computers made in California, 75% are laptops. Of those made in Texas and New York, 70% and 50%, respectively, are laptops. Find the following probabilities: P(computer is a laptop) 90% 65% 19.5% 75%

The test scores of the students in four classes are summarized below. Answer the questions about them. Class A: The mean score is 115 and the range of scores is 34. Class B: The mean score is 122 and the range of scores is 33. Class C: The mean score is 119 and the range of scores is 28. Class D: The mean score is 120 and the range of scores is 36. (a) Based on the information above, which class's scores have the most variability? Class A Class B Class C Class D (b) Based on the information above, which class has the lowest scores on average? Class A Class B Class C Class D X S ?

Boubacar and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.75 and a drink for $3.50. How much would it cost if they bought 6 bags of popcorn and 4 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 6 bags of popcorn and 4 drinks: Total cost, p bags of popcorn and d drinks:

The function h is defined as h (x) = 2x²-4 Find h (x+6).

10. Lin says that a solution to the equation 2x - 6 = 7x must also be a solution to the equation 5x - 6 = 10x. Write a convincing explanation about why this is true.

You want to buy a $197,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? b) What will your monthly payments be if the interest rate is 6%? c) What will your monthly payments be if the interest rate is 7%?

Indicate whether the equation has no solution or is true for all real numbers. If neither is the case, solve for the variable. 10x 2(3 + 5x) = -6 A) 3/5 B) {xlx is a real number} C) 5/3 D) Ø

Coffee: The National Coffee Association reported that 65% of U.S. adults drink coffee daily. A random sample of 300 U.S. adults is selected. Round yourmanswers to at least four decimal places as needed. (a) Find the mean µp? The mean is µp (b) Find the standard deviation σp PThe standard deviation σp is (c) Find the probability that more than 66% of the sampled adults drink coffee daily. The probability that more than 66% of the sampled adults drink coffee daily is (d) Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71. The probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71 is

You want to buy a $209,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at 5.85% interest for the rest. a) What is the amount of the down payment? b) What will the amount of the mortgage? c) The bank charges 2.5 points on the loan. What is the amount charged for points?

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? $ b) How much total money will you pay the loan company? c) How much of that money is interest? SA

Think About the Process A restaurant customer left $2.20 as a tip. The tax was 7% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill? Which information is not needed to solve this problem? OA. The customer left $2.20 as a tip. B. The customer left a 20% tip. C. The tax was 7%. OD. All of this information is needed to solve the problem. The total bill is $

Which of the following is not a function for all values of x? f(x) = x³ f(x) = (-x)^1/2 f(x) = (-x)^1/3 f(x) = |-x|^1/2 f(x) = |-x|^1/3

Google it: According to a report of the Nielsen Company, 86% of internet searches used the Google search engine. A sample of 100 searches is studied. Use the Cumulative Normal Distribution Table or technology. Round your answer to four decimal places. (a) Approximate the probability that more than 82 of the searches used Google. The probability that more than 82 of the searches used Google was approximately

High blood pressure: The National Health and Nutrition Examination Survey reported that 34% of adults in the United States have hypertension (high blood pressure). A sample of 300 adults is studied. Use the Cumulative Normal Distribution Table or technology. Round your answer to four decimal places. Part: 0 / 3 Part 1 of 3 (a) Approximate the probability that 71 or more have hypertension. The probability that 71 or more have hypertension is approximately

Translate the sentence into an inequality. The sum of a number times 8 and 29 is greater than 23. Use the variable x for the unknown number.

A new lookout tower is going to be built so that it is the same distance from three ranger stations. If the stations are at A(-90, 28), B(0, -35), and C(125, 20) on a grid, determine the coordinates of the point where the new tower should be built.

A flag pole 25 feet tall casts a shadow 50 feet long at a certain time of day. Find, to the nearest degree, the angle of elevation of the sun at this time. Select one: a. 63° b. 27° c. 60° d: 30° Clear my choice

2. Determine the smallest angle of rotation for each regular polygon to be mapped onto itself? a. Equilateral Triangle b. Square c. Regular Pentagon d. Regular Hexagon e. Regular Octagon f. Regular Nonagon g. Regular Decagon h. Regular Dodecagon

Michael participates in several motocross races. He has won 8 more silver medals than gold medals. The number of bronze medals he has won is half that of the silver medals. If he has won 27 medals in total, how many of each type of medal has he won?

Sandy worked 5.9 hrs on Monday, 6.8 hrs on Tuesday, and 8.2 hrs on Thursday. If she earns $11.25 per hour, how much money did she make that week? (round to the nearest cent) * $2351.30 $23.51 $235.13 $235.12

Camden accepted a new job at a company with a contract guaranteeing annual raises. Camden's salary after working for n years can be determined using the equation S = 2000n + 55000. What is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which represents