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2 years ago

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.917 g and a standard deviation

Nutka1998 [239]

Answer:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

Step-by-step explanation:

Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.917,0.303)$

Where $\mu=0.917$ and $\sigma=0.303$

We have the following info from a sample of n =37:

$\bar X= 0.872$ the sample mean

And we want to find the following probability:

$P(\bar X \leq 0.872)$

And we can use the z score formula given by;

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the value of 0.872 we got:

$z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903$

And we can find this probability to find the answer:

$P(z$

And using the normal standar table or excel we got:

$P(z$

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3 years ago

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Answer:

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2 years ago

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Answer:

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2 years ago

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