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Liono4ka [1.6K]

3 years ago

10

it took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph.Find the constant

of variation.

1 answer:

Vsevolod [243]3 years ago

8 0

Answer:

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.

so i assume it could be 162 sorry if i am wrong let me know if it is right or not

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For what values of x is x2-36=5x true?

katrin2010 [14]

Answer:

x=-12

Step-by-step explanation:

x2-36=5x

add 36 to both sides

x2=5x+36

subtract 5x from both sides

x(-3)=36

divide both sides by -3

x=-12

substitute to prove right

(-12)2-36=5(-12)

-24-36=-60

-60=-60

3 0

2 years ago

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I require assistance once again.

stealth61 [152]

Answer:

I can help you with 1, 2 and 3.

Step-by-step explanation:

1. 2x + 3y = 1470

Subtract 2x from both sides: 3y= -2x+1470

Divide three from both sides: y= \frac{-2}{3}x +490

2. To graph it, you would first go to (0,490) because that is where the y-intercept is. Since slope is ride over run, you can either go up 2 left3 or down 2 right 3. You can proceed doing that until you have enough points to draw the line.

3. f(x)= -2/3x +490. This function means represents how many wraps are sold based on how many rolls are sandwich.

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2 years ago

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The perpendicular line which of the following equations represents the line that passes through the point 1,-1

hammer [34]

Answer:

The answer is the letter A

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3 years ago

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

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:

$\mu = 565, \sigma = 113$

What percentage of the scores are less than 450?

This is the pvalue of Z when X = 450. So

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

$Z = \frac{450 - 565}{113}$

$Z = -1.02$

$Z = -1.02$ has a pvalue of 0.1539

15.39% of the scores are less than 450

6 0

3 years ago

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students pref

Rainbow [258]

100 x 0.4 = 40. So 40 students listen to hip hop

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2 years ago