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3 years ago

Of all the rectangles with a perimeter of 168 feet, find the dimension of the one with the largest area

1 answer:

3 0

The rectangle with the largest area with a given perimeter will be a square - so the sides will be equal. So we need to find length of side, L, such that 4*L=168. L = 168/4 L=42. So the dimensions of the rectangle that maximizes the area with a perimiter of 168 feet are: 42 feet by 24 feet.

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Please help #12 10 points

eimsori [14]

1. add 40 to the 40 and 25
2. now you have
$\frac{5x {}^{2} }{5} = \frac{65}{5}$
3. then you have
${x}^{2} = 13$
4. then square root
${x}^{2} = 13$
5.then round answer to nearest tenth which is
$x = 3.61$

3 0

3 years ago

It takes a boat going upstream 5 hours to cover the same distance, as it would cover in 3 hours going downstream. What is the sp

Vaselesa [24]

Answer: 15 kilometers per hour

Step-by-step explanation:

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3 years ago

Can anyone help me with my homework

eimsori [14]

1- B
2- G
3- H
4- A

I hope its good for you

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3 years ago

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random

Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

Let $\bar X$ = sample mean

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = $50,000

$\sigma$ = population standard deviation = $25,000

n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P( $\bar X$ > $52,000)

P( $\bar X$ > $52,000) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }$ ) = P(Z > 2.53) = 1 - P(Z $\leq$ 2.53)

= 1 - 0.9943 = 0.0057

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0

3 years ago

F(5)-f(3) = x^2+7x-22

My name is Ann [436]

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

4 0

2 years ago