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3 years ago

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 x^2+18x+

dsp73

Answer:

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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3 years ago

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?

neonofarm [45]

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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 - α)% confidence interval for population proportion p is:

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

The information provided is:

X = 74

n = 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 z for 90% confidence level as follows:

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

*Use a z-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).

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3 years ago