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arlik [135]
3 years ago
8

John completes a long distance run at an average speed of 8.5 miles per hour. if it takes him 6 hours,how far did he run

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
He ran 51 miles because
8.5 * 6 = 51.
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Finish the polynomial by adding one number to make it a perfect square<br><br> x^2+18x+
dsp73

Answer:

81

Step-by-step explanation:

{x}^{2}  + 18x + {(( \frac{1}{2})(18)) }^{2}

{x}^{2}  + 18x +  {9}^{2}

{x}^{2}  + 18x + 81

{(x + 9)}^{2}

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2 years ago
write a equation in slope-intercept form for the line that is parallel to y=2x-8 and passes through the point(1,5).
Brilliant_brown [7]

Answer:

y = 2x + 3

Step-by-step explanation:

y = 2x - 8   passes through ( 1,5 )

y = 2x + 3 is parallel to y = 2x - 8 because it has the same m( 2x)

and it also passes through ( 1, 5 )

Try Desmos, very helpful

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Round four point seven six to one decimal place
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3 years ago
Help!!! The graph represents (x , y)- pairs that make the equation y = 2x true?
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3 0
2 years ago
construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0
3 years ago
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