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MATH SOLVE
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A random sample of 10 chocolate energy bars of a certain brand has, on average, 230 calories per bar, with a standard deviation of 15 calories. Construct a 99% confidence interval for the true mean calorie content of this brand of energy bar. Assume that the distribution of the calorie content is approximately normal.
General
3 months ago
A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the mean hourly yield of a chemical process beyond the current mean hourly yield, which is known to be roughly equal to, but no more than, 750 pounds per hour. To test the new catalyst, five trial runs using catalyst XA-100 are made. Assuming that all factors affecting yields of the process have been held as constant as possible during the test runs, it is reasonable to regard the five yields obtained using the new catalyst as a random sample from the population of all possible yields that would be obtained by using the new catalyst. Furthermore, we will assume that this population is approximately normally distributed. Regard the sample of 5 trial runs for which s = 19.62 as a preliminary sample. Determine the number of trial runs of the chemical process needed to make us: (Round up your answers to the next whole number.) (a) 95 percent confident that 1formula102.mml, the sample mean hourly yield, is within a margin of error of 8 pounds of the population mean hourly yield µ when catalyst XA-100 is used. (b) 99 percent confident that 1formula102.mml is within a margin of error of 5 pounds of µ.
General
3 months ago
1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It took Eliot 40 min less than William. How long was William's hike? 2) During a certain period of time, a car can cover a distance of 120 miles, going at an average speed of 55 mph. What distance over the same period of time would cover a truck, going at an average speed of 44 mph?THANK YOU SO MUCH!! PLEASE GIVE EXPLANATION!!! I WILL MARK BRAINLIEST!!
General
3 months ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one complete revolution every 18 s, find an equation that gives the height above the ground of a person on the Ferris wheel as a function of time
General
3 months ago
In a zoo the ratio of giraffes to apes is 6 to 5 and the ratio of apes to zebras is 4 to 1. What is the minimum number of zebras the zoo could have? Please answer asap
General
3 months ago
Lois thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 12 obituaries from newspapers from rural towns in Idaho give x¯=81.03 and s=1.53. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?(a) State the null and alternative hypotheses: (Type "mu" for the symbol μ , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) H0 : Ha:(b) Find the test statistic, t =
General
3 months ago
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and three kings.The probability is nothing.(Round to six decimal places as needed.)
General
3 months ago
a jar contains 34 marbles , of which 4 are blue ,27 are red and the rest are green . what is the ratio of blue marbles to green marbles
General
3 months ago
A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.
General
3 months ago
The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find the length and width of the walkway. Round to the nearest tenth of a foot.
General
3 months ago
Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19
General
3 months ago
An angle measures 72° less than the measure of a complementary angle. What is the measure of each angle?
General
3 months ago
Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.A.0.5 secondsB.0.8 secondsC.1.1 secondD.1.6 seconds
General
3 months ago
Match each function with its correct description. Tiles f(x) = (-x + 1)3(x + 2)2(x − 3) f(x) = (-2x + 1)2(x − 3)2(x + 1) f(x) = (x + 6)(2x − 3)(x − 1)2 f(x) = (x − 2)2(-2x − 1)2(-x + 1) Pairs The degree of the function is 4, and the leading coefficient is positive. arrowBoth The degree of the function is 5, and the leading coefficient is negative. arrowBoth The degree of the function is 6, and the leading coefficient is negative. arrowBoth The degree of the function is 5, and the leading coefficient is positive. arrowBoth
General
3 months ago
The square of the sum of two consecutive natural numbers is greater than the sum of the squares of these two numbers by 112. find the two numbers.
General
3 months ago
a volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model the height of the vollyball over time after it is served. Select all that apply.A: f(x)=2x^2+12x+5B: f(x)=-2x^2+12x-5C: f(x)=-2x^2-12x+5D: f(x)=-2(x-3)^2+13E: f(x)=-2(x+3)^2+13
General
3 months ago
A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts. Over the entire day, 134 pounds of the nut mixture were sold for $241.10. If p is the number walnuts and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=134p+3.10n=241.10 Determine the correct description and amount of pounds for walnuts and cashew nuts that were sold.
General
3 months ago
Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode? A.) Eric rode 2 more miles per week than Kim rode B.)Kim rode 3 more miles per week than Erick rode C.) Kim rode 11 more miles per week than Erick rode D.) Eric rode 17 more miles per week than Kim rode
General
3 months ago
Which side lengths form a right triangle? Choose all answers that apply: (Answers in picture)
General
3 months ago
Using the formula v= l x w x h find the volume of a right rectangular prism when the length of the prism is 45cm the width is 12cm and height is 10cm
General
3 months ago
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