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3 years ago

Find y if the line through (5, y) and (6, 3) has a slope of 2.

Mathematics

1 answer:

BARSIC [14]3 years ago

4 0

Answer

Step-by-step explanation:

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

m = 2, y2 = 3, y1 = y, x2 = 6, x1 = 5

: 2 = (3 - y)/(6 - 5)

2 = (3 - y)/1

2 = 3 - y

Collecting like terms

y = 3 - 2

y = 1

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2 years ago

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated tha

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Answer:

Step-by-step explanation:

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11

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3 years ago

What does proportion mean

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3 years ago

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

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2 years ago

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valkas [14]

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2 years ago

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