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3 years ago

What is the standard deviation of the following data set?

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

$SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}$

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = $\sqrt{\frac{820}{4}} \approx 14.31782...$

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Combine the like terms to create an equivalent expression:<br>-3z- z

VARVARA [1.3K]

Answer: -4z

Step-by-step explanation:

If you subtract -3 by one, these negatives add up to be -4, making it -4z.

5 0

3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

Margaret [11]

Answer:

Part 40) $y=-2x+9$

Part 41) $y=5x+6$

Part 42) $y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=-2$

step 2

Find the y-intercept b

we have

$m=-2$

$(4,1)$

substitute in the linear equation

$1=(-2)4+b$

solve for b

$b=1+8$

$b=9$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=-2$

$b=9$

substitute

The equation of the line is

$y=-2x+9$

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

$b=6$ ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=5$

$b=6$

substitute in the linear equation

$y=5x+6$

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=\frac{2}{3}$

step 2

Find the y-intercept b

we have

$m=\frac{2}{3}$

$(-5,-2)$

substitute in the linear equation

$-2=(\frac{2}{3})(-5)+b$

solve for b

$-2=-\frac{10}{3}+b$

$b=-2+\frac{10}{3}$

$b=\frac{4}{3}$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=\frac{2}{3}$

$b=\frac{4}{3}$

substitute

The equation of the line is

$y=\frac{2}{3}x+\frac{4}{3}$

3 0

3 years ago

Which of the following functions have graphs that contain vertical asymptotes?

pshichka [43]

A vertical asymptotic is a point at which y approaches positive or negative infinite, or both, and y is undefined at that x value.

Of the options, the reciprocal has a vertical asymptote. When approaches zero, y approaches 1÷0, or infinite.
The logarithmic function also has a vertical asymptote at x=0. Let's use f(x) =log base 10 (x) as an example. This function describes the exponent you'd have to put on 10 to get x. When x=0, we have a bit of a problem. What power can you raise 10 to to get 0? The answer is negative infinite, which would be
1/ (10^∞) = 0.

6 0

3 years ago

The low temperature on Monday was 6 degrees warmer than Sunday's low of -9°F.The low temperature on Tuesday was 3 degrees warmer

OverLord2011 [107]

Answer: the low temperature on Tuesday is 0 degree Fahrenheit

Step-by-step explanation:

The low temperature on Monday was 6 degrees warmer than Sunday's low of -9°F. This means that the temperature on Monday would be

- 9 + 6 = - 3 degrees Fahrenheit

The low temperature on Tuesday was 3 degrees warmer than Monday's low temperature. This means that the low temperature on Tuesday would be

- 3 + 3 = 0 degree Fahrenheit

5 0

3 years ago

7th grade math<br> I will give brainliest to right answer<br> 6 = -4/5 s<br> what is the value of s

alekssr [168]

Answer:

$\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}$

s = 30/-4 or -7.5

8 0

2 years ago