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MATH SOLVE
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A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.(a) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 12 oz. What conclusions can be drawn from the data (use α= 0.01).(b) Construct a 95% two-sided confidence interval on the mean fill volume.
General
2 months ago
The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. What is the probability that a randomly selected sixth-grade student reads less than 100 words per minute?
General
2 months ago
The anterior cruciate ligament (ACL) runs diagonally in the middle of the knee. An article reported results for 85 young athletes who suffered anterior cruciate ligament (ACL) injuries. Of the 85 injuries, 53 were to the left knee and 32 were to the right knee. Can you conclude that more than half of ACL injuries are to the left knee? Find the P-value and state a conclusion.
General
2 months ago
An article suggests the uniform distribution on the interval (8.5, 19) as a model for depth (cm) of the bioturbation layer in sediment in a certain region.(a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean variance(b) What is the cdf of depth?F(x) = 0 = x < 8.5? = 8.5 ? x < 191 = 19 ? x(c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.)(d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your answer to four decimal places.) What is the probability that the observed depth is within 2 standard deviations of the mean value?
General
2 months ago
Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. If we randomly select five adults, is 1 a significantly low number who say that they were too young to get tattoos?
General
2 months ago
a large beach ball has a diameter of 4.14 feet. How much air can fill the ball?
General
2 months ago
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. How many sixth graders, how many seventh graders and how many eighth graders?
General
2 months ago
[tex] \frac{63}{70} [/tex]
General
2 months ago
If StartFraction pi Over 2 EndFraction less than t less than pi , which of the following is true? a. cosine t less than 0 and cotangent t less than 0 b. cosine t less than 0 and cotangent t greater than 0 c. cosine t greater than 0 and cotangent t less than 0 d. cosine t greater than 0 and cotangent t greater than 0
General
2 months ago
An article in the National Geographic News ("U.S. Racking Up Huge Sleep Debt," February 24, 2005) argues that Americans are increasingly skimping on their sleep. A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours. Use Table 1.a. Calculate a 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town. (Round intermediate calculations to 4 decimal places, "z" value and final answers to 2 decimal places.) Confidence interval to b. Can we conclude with 95% confidence that the mean sleep time of all adult residents in this Midwestern town is not 7 hours?Yes, since the confidence interval contains the value 7.Yes, since the confidence interval does not contain the value 7.No, since the confidence interval contains the value 7.No, since the confidence interval does not contain the value 7.
General
2 months ago
The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function f(x) = 12x.The profit, in thousands of dollars, from online streaming of the same TV show over x months is given by the function g(x) = 10(1.2)x.Which function best describes the total profit from the TV show over x months, and after how many months will the profit be approximately $68,736?A)h(x) = 22x(1.2)xx = 2 monthsB)h(x) = 2(6(1.2)x + 5x)x = 4 monthsC)h(x) = 2(5(1.2)x + 6x)x = 4 monthsD)h(x) = 2(5(1.2)x - 6x)x = 18 months
General
2 months ago
HEEEEEEEEEEEEEEEEELLPPPPPPPPPPA famous fast food chain opened two branches in different parts of a city. Branch A made a profit of $50,000 in the first year, and the profit increased by 4% every year. Branch B made a profit of $35,000 in the first year, and the profit increased by 5.5% every year.Which function can the fast food chain use to determine its total profit, P(x), after x years, and how much money will the chain have made in profit after 4 years?A)P(x) = 5,000(10(1.055)x + 7(1.04)x); $97,341.65B)P(x) = 5,000(10(1.04)x + 7(1.055)x); $73,017.93C)P(x) = 5,000(10(1.055)x + 7(1.04)x); $106,576.25D)P(x) = 5,000(10(1.04)x + 7(1.055)x); $101,851.79
General
2 months ago
A rectangular picture frame measures 4.0 inches by 5.5 inches. To cover the picture inside the frame with glass costs $0.99 per square inch. What will be the cost of the glass to cover the picture? A. $6.60 B. $198.00 C. $198.66 D. $21.78
General
2 months ago
Which of the following is the equation a^(2b+1)=3c-d
General
2 months ago
Basketball Baseball Football Soccer Tennis Other Marginal Total Elementary School 51 18 26 32 4 6 137 Middle School 50 24 44 34 7 18 177 High School 42 17 58 36 11 24 188 Marginal Total 143 59 128 102 22 48 502 A school district conducted a survey to find out which games students in different schools enjoy watching the most. The table contains the survey results. (Some values have been rounded off to the nearest whole number.) Match the descriptions to their correct values.
General
2 months ago
Eryn and seven of her friends go out to lunch. The total bill comes to $143.35. They decide to leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person will contribute. A. $2.70B. $3.10C. $18.00D. $26.00
General
2 months ago
1. Write and algebraic expression to represent "the sum of 5 times a number and 17"a. 5 x +17b.5 x -17c.5 (x + 17)d. 5+17x2. Write an equation to represent the statement: "The product of a number and five plus two is equal to 100"a. 5-x-2=100b. 5 (x-2)=100c. 5x + 2=100d.5-2x=1003. 5x-1=14a. x=3b. x=4c. x=5d. x=15
General
2 months ago
The coordinates of square ABCD are A(0, 0) , B(a, 0) , C(blank, a), and D(0,blank ).The slope of AC, when simplified, is equal to blank .The slope of BD, when simplified, is equal to −1 .The product of the slopes is equal to blank .Therefore, AC is perpendicular to BD.please fill in the blank spots
General
2 months ago
A line has a slope of -3/5 Which ordered pairs could be points on a parallel line? Check all that apply.(–8, 8) and (2, 2)(–5, –1) and (0, 2)(–3, 6) and (6, –9) (–2, 1) and (3, –2) (0, 2) and (5, 5)
General
2 months ago
Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter leg. He places the longer leg on the x-axis.What coordinates should he assign to the third vertex of the triangle?
General
2 months ago
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