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3 years ago

The measure of an exterior angle of a triangle is the sum of the measures of the ____ remote interior angles.

Mathematics

1 answer:

stich3 [128]3 years ago

5 0

Answer:

It's option E.

Step-by-step explanation:

The measure of an exterior angle of a triangle EQUAL TO the sum of the measures of the TWO remote interior angles,

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"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen

Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ ]

Where

p' is the sample proportion/point estimator of the population proportion

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error (d) of the confidence interval.

$Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648$

$d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

$d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }$

$(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}$

$n*(d*Z_{1-\alpha /2})^2= p'(1-p')$

$n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}$

$n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}$

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0

4 years ago

you deposit $2000 in an account earning 3% interest compounded monthly. How much will you have in the account in 10 years?

Hitman42 [59]

If it’s 3% that’s 36% a year which means 360% in ten years. $2000+360%=$9200

8 0

3 years ago

Jasmine has a hair ribbon collection. She ha 33 pink ribbon which is 25% of her collection. How many ribbon are in jasmines coll

jok3333 [9.3K]

Answer:

132 ribbons

Step-by-step explanation:

33/1 = 1/4

33 × 4 = 132

3 0

3 years ago

Which statement describes the translation from the graph y=|x| to the graph y=|x+3|-4?

Pavel [41]

Answer:

B) shift 3 units left and 4 units down

8 0

3 years ago

what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form

Alina [70]

La formula para sacar la pendiente:

Y2-Y1/X2-X1

Respuesta:

Y2-Y1/X2-X1= -2-(-10)/-1-(-1)

= -2+10/ -1+1= 8

R=8

Espero que te sirva

3 0

3 years ago

Read 2 more answers

The measure of an exterior angle of a triangle is ______ the sum of the measures of the __________ remote interior angles.

The measure of an exterior angle of a triangle is the sum of the measures of the ____ remote interior angles.