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3 years ago

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Given that HOP is similar to TAG, which of the following statements must be true? Check all that apply. A. sin T = sin H B. cos

P + cos G = 2cos P C. tan G = tan H D. tan T + tan P = 2tan T

2 answers:

pentagon [3]3 years ago

5 0

<u>The correct answers (Apex) are:</u>

- cos P + cost G = 2cos P

- sin T = sin H

Tju [1.3M]3 years ago

3 0

Pls. see attachment.

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

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:

$\mu = 4.9, \sigma = 1.4$

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

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

$Z = \frac{3 - 4.9}{1.4}$

$Z = -1.36$

$Z = -1.36$ has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7. So

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

$Z = \frac{7 - 4.9}{1.4}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the thickness is more than 7.0 mm

5 0

3 years ago

The area of a parallelogram is 20 square miles find its base and height

timama [110]

Answer:

refer to explanation

Step-by-step explanation:

the lengths of the base and height are the factors of 20

so they can be 5×4, 10×2, 1×20

3 0

2 years ago

Select the most specific name for the quadrilateral shown.

ludmilkaskok [199]

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

6 0

3 years ago

A test score in the 97th percentile would be considered:

seropon [69]

<span>THE ANSWERS IS VERY HIGH..................A test score in the 97th percentile would be considered very high</span>

8 0

3 years ago

Read 2 more answers

Answer ASAP 84.9 66.2 38.2 33.8

tankabanditka [31]

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

$sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7$

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

$cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}$

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

$2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25$

Your answer is the 38.2

6 0

3 years ago