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3 years ago

5

Show pictures of an adjacent angle

1 answer:

s344n2d4d5 [400]3 years ago

6 0

They are adjacent because they share a vertex and one side.

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Is 1/3 more than 2/6

Brilliant_brown [7]

No, they are equal, you can reduce 2/6 to 1/3 divide 2 by 2 and 6 by 2 :)

4 0

3 years ago

Read 2 more answers

The ages of adults in a certain community follow a normal distribution with mean 38 and standard deviation 6. The random variabl

nataly862011 [7]

Answer:

a = 33.32

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:

$\mu = 38, \sigma = 6$

P(32 < x < a) = .0590

This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.

X = 32

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

$Z = \frac{32 - 38}{6}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

X = a

p - 0.1587 = 0.0590

p = 0.0590 + 0.1587

p = 0.2177

So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.

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

$-0.78 = \frac{X - 38}{6}$

$X - 38 = -0.78*6$

$X = 33.32$

So a = 33.32

3 0

3 years ago

A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest

Minchanka [31]

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.

Replacing with the values given:

65^2 = 16^2 + x^2

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

There are 12 eggs in 1 dozen eggs.

spin [16.1K]

Answer:

2 dozen eggs are 24 eggs

8 0

3 years ago

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What is 0.1 10 times as much

Gnom [1K]

So 0.1 really means 1/10 of 1 so 10 times of 1/10 is 10/10 or 1

8 0

3 years ago

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