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3 years ago

How to find angle measures of a triangle with side lengths?

1 answer:

4 0

Step 1: Begin by using the cosine rule to find the largest angle.
Step 2: Use the sine rule to find one of the remaining angles.
Step 3: Use the 'sum of internal angles' rule to find the third angle... The sum of the internal angles equals 180º

The sum of the internal angles equals 180º ...

A + B + C = 180º

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ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval

SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is $0.748 < p < 0.842$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of people that watched the educational television is $k = 159$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{159}{200}$

=> $\^ p = 0.795$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} }$

=> $E = 0.04696$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.795 -0.04696 < p < 0.795 + 0.04696$

=> $0.748 < p < 0.842$

3 0

3 years ago

How did Odysseus defeat the cyclops?

Nikitich [7]

Odysseus and his men then took the timber and heated the sharpened end in the fire until it glowed red. Then, with all their strength, they pushed the red-hot point into the eye of Polyphemus.

6 0

3 years ago

Slav-nsk [51]

Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.

3 0

2 years ago

PPLLLEEEAAAASSSSEEEE HHHEEELLLPPPP!!!!!!

Dima020 [189]

Answer:

Yes

Step-by-step explanation

Because 2+2 is 4

6 0

3 years ago

Please Help! (10 POINTS)

Sliva [168]

The initial measure is:
m1 = 28 ft
The real measure must be:
m2 = 14 ft
The correct procedure to determine the scale factor is:
$k = m1 / m2

k = 28/14$
Dividing both numbers between 14 we have:
$k = (28/14) / (14/14)$
Rewriting:
$k = 2/1

k = 2$
Answer:
Zelie should have divided both numbers by 14.

5 0

3 years ago

Read 2 more answers