Answer:
92% Confidence Interval = [8.515, 8.605]
Step-by-step explanation:
The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval
= Mean ± t score × Standard deviation/√n
Mean = 8.56 ounces
Standard deviation = 0.09 ounces
n = 15
We find the degrees of freedom = n - 1
= 15 - 1 = 14
Using the T score table
T score for 92% confidence interval with degrees of freedom 14
= 1.8875
Hence:
Confidence Interval =
= 8.56 ± 1.8875 × 0.09/√15
= 8.56 ± 0.0454010035
Confidence Interval
8.56 - 0.0454010035
= 8.5145989965
≈ 8.515
8.56 + 0.0454010035
= 8.6054010035
≈ 8.605
92% Confidence Interval = [8.515, 8.605]
I think it would be 23 bags without any cookies left over
x - y = 16
x^2 + x^2 = 130
----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
Answer:
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Step-by-step explanation:
I uh hope this helps...
Answer:
v = ± sqrt(6/5)
Step-by-step explanation:
v^2+2=8-4v^2
Add 4v^2 to each side
v^2+ 4v^2+2=8-4v^2+ 4v^2
5v^2 +2 = 8
Subtract 2 from each side
5v^2 +2-2 = 8-2
5 v^2 = 6
Divide each side by 5
5v^2 /5 = 6/5
v^2 = 6/5
Take the square root of each side
sqrt(v^2) = ± sqrt(6/5)
v = ± sqrt(6/5)
