2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700 hours and a standard deviation of 20 hours. Find the probability that an average lifetime is more than 714 hours. Assume that the distribution of the lifetime is approximately normal.

Q: Find a quadratic polynomial such that f(1) = 8, f'(1) = 2, and f"(1) = 4. f(x) =

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: (d) A unit vector perpendicular to both Q and P (e) Find the component of (P+Q) along (P-Q)

A:

Q: In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean…

A: Given data n=37 mean=61 standard deviation=8 confidence interval=95%

Q: a = 0.01, can the claim be supported? Complete parts (a) throu Assume the population is normally…

A: Let  denote the mean amount of lead in the air in U.S. Cities. The goal is to test the claim that…

Q: need this. help asap

A: Sample sizes n1=100  , n2=100 Favorable cases x1=65 , x2=53

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

A:

Q: If AHBN ALYR, find the value of x and find the length of RL. R x + 11 28 Y 21 N H 3x - 7

A: ∆HBN ~ ∆LYR∴ Ratio of corresponding sides be equal.Hence HBLY = BNYR = HNRLGiven HN = 3x - 7, HB =…

Q: In a 2018 survey of 10,508 CEOS by PayScale.com, the range of annual salaries reported was from…

A: n1=n2=12α=0.05

Q: 4. Suppose you are interested in estimating the ceteris paribus relationship between final exam…

A:

Q: Vector A =x-a, + 2y · a, – z · az, please: 1. Express A in cylindrical and spherical coordinate 2.…

A: Given: A=x·ax+2y·ay-z·az To express: A in cylindrical and spherical coordinate. To evaluate: A at…

Q: Question.4 (a) Use a graphing utility to estimate the absolute maximum and minimum values off, if…

A:

Q: 6. A theater has rows of seats that can seat a total of 144 people. The number of rows is 7 less…

A: Solution: Let the number of seats in each row = x so, number of rows = x-7 Total seats = 144

Q: swer. 1. What is the Greatest Common Factor of 24 and 54? С. 3 A. 1 D. 6 B. 2 2. What is the GCF of…

A:

Q: Solve this initial value problem: xy-y=xlnx )=2

A: problem is related to first order differential equation

Q: Suppose p is a prime and a and k are positive integers. Prove: If plak, then pk|ak.

A: Suppose p is prime. Let a and k are positive integers. If p|ak then we need to prove that pk|ak.

Q: CWk 20(93) solve this înitial value problem : 1.3 %3D

A: A detailed solution is given below.

Q: The general anti-derivative of the function f (x) - In(x) is given by x In( x)+ C Inx)-x+ C x In(x)…

A: The integral (anti derivative) of fx=lnx can be evaluated by using integration by parts. The…

Q: 3) For each statement determine that if we need a function or binary relation. What are the domain…

A:

Q: Prove that for all natural numbers n ≥ 5, (n + 1)! > 2n+3.

A:

Q: Which of the following is a possible value of r² and indicates the strongest linear relationship…

A: We have given that the statement about to the correlation coefficient between the two variables X…

Q: Given a point P (x0, f (x0)) on the curve of a differentiable function y-f (x), the x coordinate of…

A: Consider the point Px0,f(x0) on the curve of a differentiable function y=f(x).

Q: a. Draw the Venn diagram for 4₁. Express in "expanded format": AU (B₁) = n(AUB₁).

A: We draw Venn diagram.