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5 days ago

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Suppose that the travel time from your home to your office is a normal random variable with mean 40 minutes and standard deviati

on 7 minutes on Mondays-Thursdays, and a normal random variable with mean 35 minutes and standard deviation 5 minutes on Fridays. (a) If you want to be 95 percent certain that you will not be late for an office meeting at 1PM on a Monday, what is the latest time at which you should leave home? (b) Suppose that you leave home every morning at 7:10AM to start your shift at 8AM. In a working year with 50 weeks and 250 working days, how many times on average will you be late to work with that schedule?

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The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tow

Leona [12618]

Answer:

The formula representing the penny's height as a function of time is:

$h(t)=1451-16t^2$

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

$dv/dt=-g\\\\v(t)=v_0-gt=-gt$

Then, the height is expressed as:

$dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2$

The height of the penny at approximately 7 seconds can be calculated as:

$h(7)=1451-16(7^2)=1451-16*49=1451-784=667$

After 7 seconds, the penny will stand at a height of 667 feet.

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At a large company, employees can take a course to become certified to perform certain tasks. There is an exam at the end of the

Leona [12618]

Answer:

A Type II error occurs when the null hypothesis is not rejected, even when the alternative hypothesis is actually valid.

<pin this="" scenario="" it="" suggests="" that="" the="" new="" program="" genuinely="" improves="" pass="" rate="" yet="" sample="" size="" is="" insufficient="" statistical="" evidence="" to="" prove="" it.="" consequently="" null="" hypothesis="" remains="" accepted.="">

The implication is that the new method may be dismissed or altered despite it being a real enhancement.

Step-by-step explanation:

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