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:
-6 = x / 3 -Multiply both sides by 3
-6 * 3 = x / 3 * 3
-18 = x
Now, you can check your answer:
-6 = -18 / 3
-6 = -6
Hope this helps!
Answer:
3 inches
Step-by-step explanation:
If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.
6y-5=11
Move -5 to the other side. Sign changes from -5 to +5.
6y-5+5=11+5
6y=11+5
6y=16
Divide by 6 for both sides to get y by itself.
6y/6=16/6
Cross out 6 and 6, divide by 6 and then becomes 1*1*y=y
y=16/6
Reduce 16/6 by dividing by 2
16/2=8
6/2=3
Answer: y=8/3 or y=2 2/3
