3 years ago

What pattern do you see in the power of5

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

8 0

I observe that 5 raised to any whole-number power
produces a number that ends with the digit 5 .

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A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

Katyanochek1 [597]

Answer: $(0.367,\ 0.473)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ is the sample proportion, n is the sample size , $z_{\alpha/2}$ is the critical z-value.

Given : Significance level : $\alpha:1-0.99=0.01$

Sample size : n= 85

Critical value : $z_{\alpha/2}=2.576$

Sample proportion: $\hat{p}=\dfrac{36}{85}\approx0.42$

Now, the 99% confidence level will be :

$\hat{p}\pmz_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.42\pm(2.576)\sqrt{\dfrac{0.42(1-0.42)}{85}}\\\\\approx0.42\pm0.053\\\\=(0.42-0.053,\ 0.42+0.053)=(0.367,\ 0.473)$

Hence, the 99% confidence interval estimate of the true proportion of families who own at least one DVD player is $(0.367,\ 0.473)$

3 0

3 years ago

Help please I’ll mark you brainliest

Vikki [24]

Wouldn’t it be the 7th root of 3? It’s a 30 60 90 triangle which means x=7 on that side so x on the bottom is the x root of three?

4 0

3 years ago

Use the distributive property to write the following expression without parentheses. Then, simplify the result. -3(7x+3)+5=

Akimi4 [234]

-3(7x+3)+5
=-21x-9+5
=-21x-4

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3 years ago

5 n/2= (a + b), for a

geniusboy [140]

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

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3 years ago

Diane constructed a figure made up of two angles that together would form a right angle. which two angles could be put together

BartSMP [9]

Answer:

Step-by-step explanation:

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3 years ago

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