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sveticcg [70]
3 years ago
7

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the accele

ration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5. What is the variance of the data? Round to the nearest tenth. A. 2.5 B. 5.6 C. 1.6 D. 6.3
Mathematics
2 answers:
vovikov84 [41]3 years ago
5 0

Answer:

The answer is D) 6.3

lesya692 [45]3 years ago
4 0
The variance (σ^2) is the square of the differences between the mean and each data.
 The problem says that the program reports a mean of 31.5 and a standard deviation of 2.5, so you have to elevate the standar deviation to the power 2:

 σ^2 = (2.5)^2 
 σ^2 = 6.30       
<span>
 What is the variance of the data?
</span> The variance of the data is 6.30, so the the correct option is D.







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Write the equation of a line that passes through (3.5,0) and is perpendicular to 8y+4x=64.
pantera1 [17]

Answer:

y = 2x + 3.5

Step-by-step explanation:

Step 1: find the slope

8y + 4x = 64

8y = 64 - 4x

Make y the subject of the formula

y = (64 - 4x)/8

y = ( -4x + 64)/8

Separate to get slope

y = -4x/8 + 64/8

y = -x/2 + 8

Slope is the coefficient of x

m = -1/2

Note: if two lines are perpendicular to the other , it is negative reciprocal to each other

m = 2

Using the point slope form equation

y - y1 = m(x - x1)

y - y1 = 2(x - x1)

Substitute the point

( 3.5 , 0)

x1 = 3.5

y1 = 0

y - 3.5 = 2( x - 0)

open the bracket

y - 3.5 = 2x - 0

y = 2x - 0 + 3.5

y = 2x + 3.5

The equation of the line is

y = 2x + 3.5

7 0
3 years ago
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 15 s
Slav-nsk [51]
The best answer is C.

u+2b=22
Unicycles have one wheel and bicycles have two, so the coefficient of 2 should go before the variable representing each bike.
It should equal 22 because 15 represents the total number of seats and not wheels.
4 0
3 years ago
Read 2 more answers
Which polynomial is in standard form?
lorasvet [3.4K]

Answer:

A

Step-by-step explanation:

4 0
4 years ago
Suppose that 4% of all adults suffer from diabetes and that 31% of all adults are obese. Suppose also that 2% of all adults both
den301095 [7]

Answer:

I don't see a question. if you comment it on this answer I can try to help

7 0
3 years ago
The value of K is:
aniked [119]
The answer is 48. This is because the opposite side which is 64 is just 32+32
Meaning k is 24+24
5 0
4 years ago
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