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Elina [12.6K]
1 year ago
6

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot

Mathematics
1 answer:
Luden [163]1 year ago
3 0

Answer:

  12.6 ft

Step-by-step explanation:

Trig functions relate the sides and angles in a right triangle. Here, we're given an angle and an adjacent side, and we're asked to find the hypotenuse. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(50°) = DE/CD = (8.1 ft)/CD

Solving for CD, we find ...

  CD = (8.1 ft)/cos(50°) ≈ 12.601 ft

The length of CD is about 12.6 feet.

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Consider independent simple random samples that are taken to test the difference between the means of two populations. The varia
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Answer:

d. t distribution with df = 80

Step-by-step explanation:

Assuming this problem:

Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:

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b. t distribution with df = 81.

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Solution to the problem

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

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Step-by-step explanation:

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3 years ago
What is the value of x?<br> Enter your answer in the box.
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Answer:

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Step-by-step explanation:

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x = 35

Hope this helped!

8 0
3 years ago
Read 2 more answers
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