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>
Answer:
The new account balance is <u>$812</u>.
Step-by-step explanation:
Given:
Larry Thomas's charge account statement shows an unpaid balance of $800.
The monthly finance charge is 1.5% of the unpaid balance.
Now, to find the new account balance.
Unpaid balance = $800.
Monthly finance charge of the unpaid balance = 1.5%.
Now, to get the new account balance:
$800 + 1.5% of $800.
Therefore, the new account balance is $812.
The missing interior angle, x, of the convex polygon is 168⁰.
<h3>
Sum of interior angles of convex polygon</h3>
The sum of interior angles of a convex polygon is calculated as follows;
S = (n - 2) 180
S = (8 - 2) 180
S = (6) 180
S = 1080
The missing interior angle, x, is calculated as follows;
x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080
x + 912 = 1080
x = 1080 - 912
x = 168⁰
Learn more about interior angles of polygon here: brainly.com/question/24966296
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
