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alukav5142 [94]
3 years ago
14

What is the equation in standard form of the line through (3,-1) with slope -1

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

y= -1 x + -4

Step-by-step explanation:

1. y= mx +b

2. -1 = -1(3) + b

3. -1 = -3+b

4. -4=b

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Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 700, \sigma = 50.

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

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

Z = \frac{790 - 700}{50}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

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

Z = \frac{575 - 700}{50}

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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1 year ago
GIVING A BRAINLIST IF U CAN ANSWER THESE QUESTIONS PLEASEEE!!
Leviafan [203]

Step-by-step explanation:

1)

Hypotenuse2 = Perpendicular2 + Base2

c2 = a2 + b2

therefore,

c2 = (10)2 in + (24)2 in

c2 = 100 + 576

c2 = 676

c = √676

c = 26

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2 years ago
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