Express the area of an equilateral triangle as a function of the length of a side x.

How did President Truman's Executive Order 9981 show progress toward racial equality?

Blababa [14]

Answer:

The answer is "The order ended segregation in the military."

Step-by-step explanation:

President Harry S. Truman is the 33rd president of the United States of America. He assumed the President's role after the death of <em>Franklin D. Roosevelt</em> (the 32nd president of the USA). Under his leadership, <em>he was able to abolish the issues concerning the discrimination according to race or religion in the USA's military force. </em>This was backed by the "Executive Order 9981," which he issued in 1948.

The "Executive Order 9981" ended the segregation in the military. Before it was issued, the Black Americans were trained differently from the White Americans. The White Americans were given more priority than the Black ones. This means that the Black Americans have to wait and train longer before they became qualified. Later, it was found out that there was actually no sense in segregating both Americans, since they both performed well in the wartime.

Thus, this explains the answer.

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3 years ago

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The number of times that students go to the movies per year has mean is a normal distribution with a mean of 17 with standard de

antiseptic1488 [7]

Answer:

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a sample of size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 17, \sigma = 8, n = 10, s = \frac{8}{\sqrt{10}} = 2.53$

What is the probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times?

This probability is the pvalue of Z when X = 18 subtracted by the pvalue of Z when X = 14. So

X = 18

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

By the Central Limit Theorem

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

$Z = \frac{18 - 17}{2.53}$

$Z = 0.4$

$Z = 0.4$ has a pvalue of 0.6554

X = 14

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

$Z = \frac{14 - 17}{2.53}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170

0.6554 - 0.1170 = 0.5384

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

3 0

3 years ago

What is the measure of each interior angle of a regular polygon with 5 sides?

Sedaia [141]

108 degrees because of the equation 180(n-2)/n. 180(5-2)/5= 540/5= 108.

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4 years ago

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Kite GHIJ has sides GH, HI, IJ and JG. What are the diagonals of this figure? Select all that apply.

tatyana61 [14]

First, draw a diagram of a kite with sides GHIJ. The sides GH, HI, IJ, and JG are the sides. The diagonals can be determined by connecting the opposite sides. J and H, G and I. Therefore, the diagonals for the Kite GHIJ is JH and GI.

4 0

3 years ago

The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pi

kati45 [8]

Answer:

The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

$\dfrac{\overline {RS}}{\overline {XZ}} = \dfrac{\overline {RT}}{\overline {XY}} = \dfrac{\overline {ST}}{\overline {ZY}}$

Step-by-step explanation:

The definition of similarity is the quality of two or more objects having a common definitive property

Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation

The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio

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3 years ago

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