step 1
<span>compute the average: add the values and divide by 6
Average =(44+ 46+40+34+29+41)/6=39
step 2
</span><span>Compute the deviations from the average
dev: (44-39)=5,
</span>dev: (46-39)=7
dev: (40-39)=1
dev: (34-39)=-5
dev: (29-39)=-10
dev: (41-39)=2
step 3
<span>Square the deviations and add
sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2
sum (dev^2): 25+49+1+25+100+4-----> 204
step 4
<span>Divide step #3 by the sample size=6
(typically you divide by sample size-1 to get the sample standard deviation,
but you are assuming the 6 values are the population,
so
no need to subtract 1, from the sample size.
This result is the variance
Variance =204/6=34
step 5
</span><span>Standard deviation = sqrt(variance)
standard deviation= </span>√<span>(34)------> 5.83
the answer is
5.83</span>
Step-by-step explanation:
Vertical Angles: Angles facing each other.
Example: 6 & 7
Complementary Angles: Angles adding up to 90 degrees / making a right angle.
Example: 9 & 10
Supplementary Angles: Angles adding up to 180 degrees / making a straight line.
Example: 7 & 8
Answer:

Step-by-step explanation:
Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

In order to calculate the dimensions of the rectangular at
times its current size, you need to multiply the original lenght by
and multiply the original width by
.
Knowing this, you get:

Answer:
$22 for popcorn and $8 for pretzels together it would be $30
Step-by-step explanation:
16 is the answer add all side door