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Ksenya-84 [330]
2 years ago
11

The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.

Mathematics
1 answer:
kiruha [24]2 years ago
7 0

Answer:

8.86 x 10^8

Step-by-step explanation:

Scientific notation means that you represent the standard form of a number like this:

number less than ten x 10 to the ___ power

In standard form, the decimal point is at the end of 886,000,000.

You have to move the decimal point to the left until it creates a number less than 10, but greater than 1:

8.86,000,000

You count how many decimal places you moved it. In this case, it is 8.

So your answer becomes 8.86 x 10^8

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Several years​ ago, 43​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
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Let p be the population proportion of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set of hypothesis :

H_0: p=0.43\\\\ H_a:p\neq0.43

Confidence interval for population proportion is given by :-

\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}} , where

n= sample size

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and z_c is the two-tailed z-value for confidence level (c).

As per given ,

Sample size of parents : n= 1085

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Sample proportion :  \hat{p}=\dfrac{466}{1085}\approx0.429

Critical value for 90​% confidence interval : z_c=1.645  ( by z-value table)

Now, the  90​% confidence interval :

0.429\pm (1.645)\sqrt{\dfrac{0.429(1-0.429)}{1085}}\\\\=0.429\pm 0.0247\\\\=(0.429-0.0247,\ 0.429+0.0247)\\\\=(0.4043,\ 0.4537)

Thus , the 90​% confidence interval: (0.4043, 0.4537).

Since 0.43 lies in 90​% confidence interval , it means we do not  have enough evidence to reject the null hypothesis .

i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.

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