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valina [46]
3 years ago
5

1 Without using tables, find sin 60° given that sin 60° = 2 sin 30° cos 30º.​

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
(60 = 2 x 4) would be 92 divided by 9 mark me brainlist
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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

So

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
What is the simplified expression for <br><br> - 3(2x - 5)
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Answer:

-6x + 15

Step-by-step explanation:

This should be your answer if you are doing distributive property.

Please mark as brainliest! <3

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3 years ago
Mrs. Yin bought 0.81 of a pound of turkey and 0.69 of a pound of chicken. Did Mrs. Yin buy more turkey or more chicken? Show how
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Mrs. Yin bought more turkey than chicken. I know because 0.80 is greater than 0.69
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Max bought a package of hamburger that weighs pounds. He needs of that amount for a recipe. How much hamburger does Max need for
kari74 [83]

5 1/3 is the answer to your problem


4 0
3 years ago
Answer and solution plse :)
sergij07 [2.7K]

Answer:

there are 8 prime numbers.

4 0
3 years ago
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