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3 years ago

A line with a slope of three is written in the form y=Mx+b what is the value of be if the line passes through the point (3,11)

Mathematics

2 answers:

lana [24]3 years ago

6 0

Answer:

y=3x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-11=3(x-3)

y=3x-9+11

y=3x+2

zepelin [54]3 years ago

4 0

Answer: y=3x+b

Let’s rewrite the information we have

Model equation: y=mx+b

Slope: 3

Point: (3,11)

In the model equation, this is what the letters stand for— y=slope•variable+y-intercept. Since we already know the slope, let’s substitute this into the equation now.

y=3x+b

Now we need to find the y-intercept/b. We’ll do this by substituting the y and x value from the point into the equation and solving for b

y=3x+b

*substitute point*

11=3(3)+b

*multiply 3 and 3*

11=9+b

*subtract 9 on both sides

2=b

Now that we have b, let’s put this into the equation and finish the equation

y=3x+b

Hope this helps comment below for more questions :)

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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

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morpeh [17]

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Arturiano [62]

Answer:

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Step-by-step explanation:

First find the z-score.

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z = (72 − 60) / 5

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Use a chart or calculator to find the probability.

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ra1l [238]

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drek231 [11]

Answer: −420x+1073

Step-by-step explanation:

Let's simplify step-by-step.

955−105x(4)+118=955+−420x+118

Combine Like Terms:

=955+−420x+118=(−420x)+(955+118)=−420x+1073

Answer: =−420x+1073

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3 years ago

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