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LekaFEV [45]
1 year ago
12

Legs: The two ________ sides of a right triangle; the sides that meet at ___ degrees.

Mathematics
2 answers:
Dmitrij [34]1 year ago
7 0
Hello there!

Legs: The two smaller sides of a right triangle; the sides that meet at 90°.

In Pythagorean Theorem, all three sides of a right triangle have names and certain measurements that explain their names. The legs of a right triangle are the two smaller sides; they meet at a 90° angle and form a square to ensure the 90°. The bigger side of a right triangle is what we call the hypotenuse. The hypotenuse equals what the legs squared add up to. For example, we can take the three measurements:

12 cm, 5 cm, 13 cm

Since the two smaller numbers are 5 and 12, those would be our legs in the right triangle. Because 13 is the largest, it would be our hypotenuse. To identify the equivalence of the equation, we would square 5 and 12 to see if it equals up to 13 squared

5 squared is 25, and 12 squared is 144. Because 144 + 25 = 169, and 13 squared is 169, we know that the right triangle exists. If you need a further explanation, let me know and I will gladly assist you.
kherson [118]1 year ago
7 0
1. Legs
2. 90* degrees

I hope this helps you mate
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In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new
Juli2301 [7.4K]

Answer:

The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.

Step-by-step explanation:

79% of the fruit sold at Fred's Fruit stand has been any good. Test if there has been an increase.

At the null hypothesis, we test if there has been no increase, that is, the proportion is still of 79%, so:

H_0: p = 0.79

At the alternative hypothesis, we test if there has been an increase, that is, more than 79% being good, so:

H_1: p > 0.79

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.79 is tested at the null hypothesis:

This means that \mu = 0.79, \sigma = \sqrt{0.79*0.21}

In a random sample if 475 pieces, 85 were bad.

So 475 - 85 = 390 were good, and:

n = 475, X = \frac{390}{475} = 0.8211

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.8211 - 0.79}{\frac{\sqrt{0.79*0.21}}{\sqrt{475}}}

z = 1.66

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.8211, which is 1 subtracted by the p-value of Z = 1.66.

Looking at the z-table, z = 1.66 has a p-value of 0.9515.

1 - 0.9515 = 0.0485

The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.

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