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2 years ago

What is the length of the diagonal of the square shown below?

Mathematics

2 answers:

Usimov [2.4K]2 years ago

6 0

Hey,here is the answer to ur question......!!!!
Since it is a square and all angles =90
Therefore to
Find length of the diagonal we have to use Pythagoras theorem....!
So, (AC)^2=(AB)^2+(BC)^2
=>(AC)^2=(11)^2+(11)^2
=>(AC)^2=121+121
=>(AC)^2=242
=>AC=root242
=>AC=11root2
=>length of the diagonal =11root2
Hope this helps u....!!!!

creativ13 [48]2 years ago

4 0

The diagonal of a square is always sqrt (2) * the side length.

Here, the side length is 11. So:

sqrt (2) * 11 = 11 * sqrt (2)

The length of the diagonal is 11 * sqrt (2).

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2 years ago

Read 2 more answers

The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s

Rus_ich [418]

Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12.6, \sigma = 2.5$

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?

This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So

X = 12

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{12 - 12.6}{2.5}$

$Z = -0.24$

$Z = -0.24$ has a pvalue of 0.4052

X = 8

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8 - 12.6}{2.5}$

$Z = -1.84$

$Z = -1.84$ has a pvalue of 0.0329

0.4052 - 0.0329 = 0.3723

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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2 years ago

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

Paul [167]

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

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Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)
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(33.75, 0) or (33, 0) if you insist on rounding.

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2 years ago