04/22/24

Use the following sample to estimate a population mean .
Use the following sample to estimate a population mean �. 51.8 64.9 59.8 55.6 57.9 71 58.7 Assuming the population has a bell-shaped distribution, find the 95% confidence interval about the... more
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04/22/24

Estimate the population mean by finding a 99% confidence interval given a sample of size 17, with a mean of 51.6 and a standard deviation of 6.7.
Estimate the population mean by finding a 99% confidence interval given a sample of size 17, with a mean of 51.6 and a standard deviation of 6.7.What is the 99% confidence interval to estimate the... more
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04/20/24

Janelle just read that her laptop, which cost $3600 new, depreciates by 10% of its value every year. If this estimate is accurate, how much will the computer be worth in 6 years?
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04/18/24

Find the work done (in joules) if the spring is stretched from its natural length to 0.65 meters.
Consider a spring. Recall that the force required to stretch a spring by x units beyond its originallength is given by F(x) = kx, where k is a constant called the spring constant. Suppose a spring... more
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04/17/24

A rectangular tank that is 6 feet long, 9 feet wide and 6 feet deep is filled with a heavy liquid that weighs 120 pounds per cubic foot.

A rectangular tank that is 6 feet long, 9 feet wide and 6 feet deep is filled with a heavy liquid that weighs 120 pounds per cubic foot. In each part below, assume that the tank is initially full.... more
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04/17/24

A mutual fund pays 10% compounded monthly. How much should I invest now so that 3 years from now I will have $4700 in the account?
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04/16/24

Need help with a differential equation!
Verify that y=-tcos(t)-t is a solution of the initial-value problem, t(dy/dt)=y+t2sin(t), y(pi)=0
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04/03/24

(a) Find the critical values of the function.
4. Given{ f(x) = (10 −1/4x^2 ,if x < 0 {5e^(x−2)/2 − x ,if x ≥ 0.(a) Find the critical values of the function.(b) Find the absolute extrema of f on the interval [−5, 5].(c) Plot f on the... more
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04/02/24

Need help for a power series representation question.
f(x)=x/(2x2+1)I was told to consider 1/(2x2+1) first, and I got ∑(2x2)n for that... but I'm not sure what to do after that point. If we're writing this as a geometric series, then would x in the... more
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03/25/24

Find the function blanks

Letf′(x)=4−3x2�′(�)=4−3�2be the derivative of a continuous function f�. Fill in the blanks below. 1.   f� is increasing for x∈�∈ functions 2.   f� is decreasing... more
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02/19/24

Interval Estimates for the mean when the variance is known
Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 214 with 49 successes at a confidence level of... more
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02/13/24

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval.
Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval.f(x) = x+ rad (x-2), [2, infinity]
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02/13/24

Probability question.

There are 2 white balls, 2 red balls, and 3 blue balls in a box. Two balls are selectedat random, and their colors are noted. Find the probability that neither is whiegiven that neither is blue.
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01/23/24

If v lies in the first quadrant and makes an angle 𝜋/3 with the positive x-axis and |v| = 4, find v in component form.
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01/23/24

a + b, 2a + 3b, |a|, and |a − b|.
a = 2i + j,    b = i − 5j
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01/23/24

Consider the function...
Please help. I cannot upload a photo, so I have tried to translate the limit of F(x,y) just using my keyboard.Question:Consider the function 𝑓(𝑥,𝑦)=(𝑥^𝑚)(𝑦^3)/((𝑥^2)+(𝑦^4)), where 𝑚∈𝐙 is a fixed... more
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01/21/24

What is the probability no More than 5 of the next 100 will injure themselves?
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01/21/24

Continuous Distributions and the Uniform Distribution
Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal... more
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01/10/24

Find the ordered pair for y=−2x+1 when x=2
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01/09/24

Hey what do you find in a tutor that I need to know about?
There no wrong answer!
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12/26/23

What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are clubs,... more
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12/26/23

Find the surface area of revolution about the x-axis of y=6x+6 over the interval 0 <= x <= 2
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12/24/23

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y=x^2 , y=0, and x=7, about the y-axis.
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12/24/23

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right by the graph of g(y)=9√y and on the left by the y-axis for 0 ≤ y ≤3, about the x-axis.
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12/20/23

Non-Constant Acceleration of a Car Drag Racing on a Quarter Mile Track. What am I doing wrong?

I'm a retired engineer and my hobby is racing my Cadillac at the local quarter mile track. Being a numbers geek by training I decided to write an Excel program that could take my time slip and spit... more
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