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2 years ago

Use this scenario: A truck rental agency offers two kinds of plans. Plan A charges

Mathematics

1 answer:

Luba_88 [7]2 years ago

8 0

we conclude that for 500 miles, both plans will have the same cost.

<h3>For how many miles both plans have the same cost?</h3>

Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:

A(x) = $75 + $0.10*x

For plan B we will have the similar equation:

B(x) = $100 + $0.05*x

The cost is the same in both plans when:

A(x) = B(x)

So we need to solve the linear equation:

$75 + $0.10*x = $100 + $0.05*x

$0.10*x - $0.05*x = $100 - $75

$0.05*x = $25

x = $25/$0.05 = 500

So we conclude that for 500 miles, both plans will have the same cost.

If you want to learn more about linear equations:

brainly.com/question/1884491

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 623 babies bo

Margaret [11]

Answer:

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3448, \sigma = 862$

Proportion of newborns who weighed between 1724 grams and 5172 grams.

This is the pvalue of Z when X = 5172 subtracted by the pvalue of Z when X = 1724. So

X = 5172

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{5172 - 3448}{862}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 1724

$Z = \frac{X - \mu}{s}$

$Z = \frac{1724 - 3448}{862}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

Estimate the number of newborns who weighed between 1724 grams and 5172 grams.

0.9544 out of 623 babies. SO

0.9544*623 = 595

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

5 0

3 years ago

25x = 125x + 3<br><br> x = −10<br> x = −9<br> x = −3<br> x = 3

ICE Princess25 [194]

Answer:

x=-9

Step-by-step explanation:

first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.

8 0

2 years ago

which one of the following examples represents a repeating decimal A. 1.111114 B. 0.777777 C. 4.252525 D. 0.123123

elena-s [515]

Actually, i think something is missing here:

You need either a parenthesis or some dots at the end to determine this. A repeating decimal can have one repreating digit:

0.(7): 0.777777...

two:

0.(45): 0.45454545454545....

or more: so potentially all of them can be repeating, even a!

it could be: 1.(111114)

or: 1.111114111114111114111114111114111114111114111114111114111114111114111114111114...

proably B. is the most typical of repeating decimals (choosed this one if you have to), but in reality, you need more information... did you copy the question exactly?

7 0

3 years ago

What is the area of the composite figure?

Rudik [331]

I have uploaded a link! The answer is in the link below:

http://www.vegetablefacts.net/vegetable-history/history-of-butthole/

4 0

3 years ago

EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o

german

Answer:

$y=9x+33$

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9$

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

$y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33$

So, there were 33 gallons of water in the tank to begin with.

3 0

3 years ago