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matrenka [14]
3 years ago
8

the width of a rectangle is half as long as the length. the rectangle has an area of 288 square feet. what are the length and wi

dth of the rectangle?
Mathematics
1 answer:
inna [77]3 years ago
3 0
If you cut the rectangle in half, you have two squares of area 144 ft², or side length 12 ft.

The length of the rectangle is 24 ft; its width is 12 ft.
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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
4 years ago
In each triangle p is the circumcenter use circumcenter theorem to solve for the givin values
timurjin [86]

Answer:

Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.

As per the statement:

It is given that: P is the circumference

From the given figure:

CP = 12 units.

then;

by circumcenter theorem;

AP= BP =CP = 12 units.

Next find the value of AB:

Labelled the diagram:

AD = 11 units

then;

AB = AD+DB

Since: AD=DB [You can see it from the given figure]

then;

AB = 2AD = 2(11) = 22 units

Therefore, the value of BP and AB are: 12 units and 22 units

4 0
3 years ago
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You need 3 sticks of butter for every 24 cookies you bake. How many cookies can you make with 7 sticks of butter?
neonofarm [45]
Just times 24 times 7 there it’s simple
5 0
3 years ago
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I need help really bad
Grace [21]
What do you need help finding?
7 0
4 years ago
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$2.95+$3.09+$5.85+$4.10
Gnom [1K]

Step-by-step explanation:

the value of P(B|A)P(B∣A), rounding to the nearest thousandth

3 0
3 years ago
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