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3 years ago

Find the length of the missing side.

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

68 ft

Step-by-step explanation:

to find the length of the missing side we can use the Pythagorean Theorem which is a² + b² = c², where <em>a</em> and <em>b</em> are sides (legs) of the triangle and <em>c</em> is the hypotenuse. the hypotenuse of a right triangle is the side opposite of the right angle. using this information we can see the following:

sides of the triangle (a and b): 32 and 60

hypotenuse: c, our missing side

we plug these values into the formula

32² + 60² = c² < simplify the exponents

1024 + 3600 = c² < add

4624 = c² < square root both sides to get c on one side with no exponent

√4624 = √c² < simplify square roots

68 = c

the length of the missing side is 68ft. to see if this is right, we can plug it into the formula to check but its not necessary.

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

Significance level is missing, it is α=0.05

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z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

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n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

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Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

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3 years ago