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Statistics Questions and Answers March 07, 2024

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A news report states that sales of U . S . homes declined 3 % during the previous month. What type of business would be most likely to include this information in their business decisions?

If a set of tires cost $ 4 4 0 in 2 0 0 6 , how much would the same set of tires cost ( approximately ) in 2 0 2 0 ?

Draw boxplot with this number 1025 1048 1011 1009 1000 975 991 1017 1019 1008

Consider the following data on the number of hours that students slept: 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 1 0 1 1 1 1 what is the frequency of 5 - 6 , 7 - 8 , 9 - 1 0 , 1 1 - 1 2 ?

Would it be a good idea for the government to regulate the market for this new toy? Explain why or why not. If you think it is a good idea for the government to regulate this market, explain what type of regulation they should implement and how it would affect the outcomes in this market

a. If you are comparing three or more groups what nonparametric test statistics is more to use and why? b. what procedures we are going to do if we want to know which pair groups are different?

it was around the 1660s when the fundamental theories that would become the study of calculus were underway. In Germany, a man named Gottfried Wilhelm Leibniz studied calculus, while in England, Isaac Newton was studying. The work was similar and people who knew either of them thought one had stolen ideas from the other. Explore this early history

What is the maximum dwell time for aligting a bus, if you know that the number of alighting passengers in the peak 1 5 minutes is 4 0 passengers

An investment portfolio had the following returns ( losses ) over the past 5 years . Calculate the average return for the 5 - year period. Enter your final value ( as a percent; do not include an symbols ) 1 0 . 6 , 1 1 . 4 , 9 . 3 , 6 . 8 , - 2 . 3

Last year, Junior played 80 football matches. This year, he played in 40 football matches. What is the percent of decrease in the number of football matches Junior played in two years? 2 answers

The foundation is 16 yards long, 11 yards wide, and 5 yards high. If concrete costs $2 per cubic yard, how much did the concrete cost for the foundation?

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 centimeters and a height of 5 centimeters. What is the total area, in square centimeters of the shape?

4 students have vanilla ice cream and 43 students have chocolate ice cream. What ratio of the number of students who have vanilla to the total number of students?

70% of boys who surveyed at the school love to play video games. 84 boys said they did not like to play video games. how many boys were surveyed

the average final grade of past students is known to be 82 percent. it has believed that there has been an increase in the average grade in the term that just ended

Martha is covering kitchen shelves with shelving paper. She has 6 shelves that are each 1(3)/(4) feet long. She buys 13(1)/(4) feet of shelving paper of the correct width.

A class needs a 175-inch-long piece of rope for a project. How long is the rope in yards? Use multiplication or division or both to solve the rope problem. Explain your solution.

Suppose an experiment or trial has only two possible outcomes: Success or Failure. Calculate the number of combinations there are of 4 or 7 successes occurring in 18 repetitions of the experiment.

$16,687 is invested, part at 12% and the rest at 8%. If the interest earned from the amount invested at 12% exceeds the interest earned from the amount invested at 8% by $1,093.24, how much is invested ?

In a race, Melanie ran 880 yards south, and 1/2 miles west. How many miles will she run to reach her starting point? Round to the nearest hundredths place. Do not include units

tony bought 28 pounds of sugar for $12. HOw many dollars did he pay per pound of sugar?

Usually, 30% of Math students from Kim's Math classes used to use a calculator. There are 100 students taking Math classes from Kim this semester. What is the probability that a randomly selected 30 students from Kim's Math classes who will not use a calculator?

A trained chimpanzee has a 20% chance of spelling a word correctly. If he has to spell four words, then what are the chances he spells exactly two of them correctly? Give two digits past the decimal point.

Two types of football helmets, padded and suspension were compared to determine which had the lowest rate of impact damage. Forty helmets of each type were randomly selected and subjected to an impact test. The damage rates were 0.14 for padded and 0.45 for suspension. A 95% confidence interval estimate for the difference in the damage rates of

Qiang, Rory and Sophia are each wearing a hat with a number onit. Each adds the two numbers on the other two hats giving totalsof 11, 17 and 22. What is the largest number on a hat?

Let a, b be two natural numbers and d be their greatest common divisor. Show that there exists a pair x, y ?

please solve and explain Problem 3. Find the derivative of the following function using the definition. No credit will be given for using derivative rules. [ f(x)=frac{1}{1+x^{2}} ]

A restaurant noted what type of food its customers ordered last week. Here are the results: Find the probability that a randomly chosen customer ordered a burger given that they ordered fries.

Apllo spa services 152 hot tubs. if each hot tub needs 175 ml of acid. how many liters of acid are needed for all of the hot tubs?

Kelly earned $13,$21.50, and $15.25 mowing lawns on 3 consecutive 0 earn an average of at least $17 per week. What is the minimum she he fourth week to meet her goal?

A company produced 4,985 gadgets at a cost of $2.07 each. The company sold 4,109 of the gadgets for $14.99 each. What is the closest estimate of the company's profit or loss?

Two numbers have a product of 288. The first number is double the second. What equation could be used to find these numbers?

Elijah sold 4 cars from his collection of 10 cars. What percent of his cars did he sell?

Rope Length is 25m Stable is rectangular What is the maximum area can the horse covered outside?

Josh is going to draw a net of a triangular prism. How many rectangles should there be in his drawing?

A rectangular school gym has a length of x+19 and a width of x-15. What measure does (x+19)(x-15) represent?

My new jersey was $59.99 but I got a 30% off. What did I pay for the jersey?

By substituting appropriate values into the equation y=mx+b, find the value of b for this line.

It cost Jose $8.70 to send 87 text messages. How much would it cost to send 10 text messages?

In South Carolina, it rained 23 out of 30 days in a month. What is the decimal equivalent of 23 out of 30 ?

Cupcakes are $1.25 each, but the bakery offers a 20% discount when you buy a dozen. How much money would I save on two dozen cupcakes using this discount?

One person earns $37,000 per year. Another person earns $2300 per month. How much more does the first person earn in a year than the second?

Let f(x)=(1)/(x) and g(x)=(1)/((x+3)) Describe the transformation from f(x) to g(x).

Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost?

A job requiring 42 minutes was speeded up. It was completed in 38 minutes. What percent of the original time was saved?

A metallurgist needs to make 12.4 lb. of an alloy containing 50% gold. He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should he use?

A waiter earned $300 in tips during his shift on Friday. On Saturday, he earned $335 in tips. What is the percent increase of his tips from Friday to Saturday?

Frank earns $58,500 one year and receives an 8% raise in salary. What is his new salary?

Nick sold x items in the school fundraiser. Emilo sold three more than twice as many items as nick. Together they sold 45 items. Write and solve an equation to find how many items each boy sold

Adalyn is stocking up on cans of soup for the winter. They are on sale for $2.25 each and she has a $3 coupon. If she can spend no more than $30 on soup, how many cans can she buy?

Question A certain map has a scale in which (1)/(2) inch on the map represents an actual distance of 10 miles. A distance of x miles is represented by how many inches on this map?

On a map's coordinate grid, Pine Bluff is located at (-1, -3), and Rob Roy is located at (4, 9). How long is the train's route if it travels along a straight line from Pine Bluff to Rob Roy?

An electrician bent a section of copper wire into a partial circle as shown. The dimensions are given in feet (ft). What is the length of the section of wire to the nearest hundredth of a foot?

Emily notices that 18 of her 25 goldfish have a white spot. What percent of her fish has a white ?

A concrete mix has a ratio of 1 part cement, 2 parts water and 3 parts sand. Hew much concrete can be made if 78 pounds of sand and 16 pounds of cement are available?

If 112 children sign up for a field trip and each vehicle carries x children, what expression could be used to determine the number of vehicles needed for the trip?

There were 10 black bears in an area. Some years later, there were 17 black bears in the area. What is the percent gain?

The side wall of the window is square in shape and its length is given as 1618 feet. Find the area of the side wall of the window.

A basketball court is 84 feet long. How does 84 teeth compare to 30 yards? Explain how you know. how do you now .

The Hiking Club plans to go camping in a State park where the probability of rain on any given day is( 1)/(9.) What is the probability that it will rain on at least three of the six days?

Hay den invested $750 for three years at an interest rate of 0.035 . How much interest did he earn in that time?

A box coveres an area of 8 (3)/(4) in. when resting on its base. The volume of the box is 74 (3)/(8)in. Can you find the surface area of the box?

Vector Field components Let F(x, y, z) = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k be the vector field with value at (x, y, z) that is of unit length and points towards the point [-9, -7,9].

At a school, 40% of the teachers teach English. If 20 teachers teach English, how many teachers work at the school? P^(10). A patient was given blood pressure medicine at a dosage of 2 grams.

Allyah is babysitting her cousins. On the first day, her aunt pays her $1 and says the payment will double each day thereafter. How much does she earn on day 15 ?

Selling frozen yogurt at a fair, you make $565 and use 250 cones. A single-scoop cone costs $2 and a doubles coop cone costs $2.50. How many of each type of cone did you sell?

Working at Burger in a Box, you are paid $25 each week plus $6 per hour. This week, you want your pay to be $133. How many hours should you work to earn enough?

A middle school has 850 students. 255 students are in seventh grade. What percent of students are in seventh grade?

Some mold is beginning to grow on a slice of bread. The bacteria grows at a rate of 50% every hour. How much bacteria is on the bread after a day if we started with 120 bacteria?

A certain beach has 400 yards of sand, but erosion is decreasing it by 30% each year. Which expression represents the amount of beach as a function of time? Use the formula A(t)=a(1+-r)^(t).

You like to eat your pizza at 90 degrees Fahrenheit. Using your regression equation from above, at approximately what time should you eat your pizza?

The number of girls at a small high school is 60 greater than the number of boys. If there are 1250 total students, how many girls are there?

Jamaal rolls a six-sided die and spins a four-color spinner. What is the probability that he rolls a 4 and spins yellow?

If vector vec (v)=vec (i)-2vec (j) and vector vec (w)=3vec (i)-3vec (j), find the magnitude of vector (2vec (v)-3vec (w)). Leave your answer in simplest radical form.

Suppose the equation f(x) = 50x^(2) - 200x + 1000 represents the value of a car from 2012 to 2020. What year did the car have the LEAST value? (x)=( 0 represents 2012)

Lana finished the race in 13.2 seconds. If 84 other girls ran in the event, approximately how many runners did she beat?

y=x^(2)+5x-6 State the domain State the range Find the x-intercept Find the y-intercept Determine the vertex point

Simplify the expression (1)/(1+cosx)+(1)/(1-cosx) into one term involving one trigonometric function without fractions.

The difference of the square of a number and 12 is equal to 4 times that number. Find the negative solution.

Use slope to determine whether the points A(3,5), B(-2,6), and C(-5,7) are on the same line. Justify your conclusion algebraically.

A 28-year-old person pays $417 for a one-year life insurance policy with coverage of $114,498. If the probability that the individual will live through the year is 0.9994, what is the expected value ?

You are a mechanic. You have been given an engine repair job that has a job time of 0.7 hour. About how many minutes should you allow for the job?

Karen drove 737 miles in 11 hours. At the same rate, how many miles would she drive in 8 hours?

Coby swam for 2(1)/(2) hours over a 5-day period. He swam the same amount of time each day. How many minutes did Coby swim per day?

There is a spinner with 8 equal areas, numbered 1 through 8 . If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3 ?

Kathy works ( 81)/(2) hours each day. She has been working on a project for the last 2.5 hours. What percentage of her day has she worked on the project?

Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour? (There are 5,280 feet in one mile. What is Sam's rate as stated?

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?

Determining Possible Side Lengths Mr. Anderson is building a triangular-shaped roof for his shed. The triangle must be isosceles with its base (noncongruent ) side measuring 14 feet.

After investing $2,000, the value of Regina's investment is $2,164.86 after one year. If the interest was compounded quarterly, what was the interest rate?

The function g(t)=-16t^(2)+30t describes the height of a ball kicked into the air over time. What is the maximum height the ball reaches?

The price of eggs hat been increasing 4% per year. If the cost of a dozen is now 28.60 , when will the cost of eggs be 40.00 ?

How many real and how many imaginary roots does the polynomial x^(2)+8x+15 have?

Suppose that 18 inches of wire costs 72 cents. At the same rate, how much (in cents ) will 29 inches of wire cost?

The polynomial 8x^(2)-8x+2-5+x is simplified to 8x^(2)-gx-h. What are the value of g and h ?

Cade loves oranges and grapefruits. He wonders how much extra fruit he's running from eating a grapefruit. Calculate how many times the volume of a grapefruit exceeds that of an orange.

24. Assume that the resting heart rate in humans is normallydistributed with a population mean of 72 bpm and a standarddeviation of 8 bpm. a. What proportion of the population has resting heart ratesbetween 70 and 82 bpm? b. What proportion of the population has resting heart ratesbetween 50 and 75 bpm? c. What proportion of the population has

In 1992, the Journal of Epidemiology and Community Health published an article that claimed that the average incubation period from infection with HIV to the development of AIDS was 6.5 years with a standard deviation of 4.2 years. Complete the following steps to determine the probability that in a sample of 350 infected individuals, the sample
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4. Sometimes you eat the bear and sometimes the bear eats you. Suppose that the outcome of a game is random and 3, X with probability 12, 13, with probability 12. a. Calculate E(X) and E In(X). b. Suppose that the game is played n times with each game being independent, and define the payoff to be Yn X1 X2 x Xn, that is, you bet everything you
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