Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean,
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
30 x 16? if thats what your asking then the answer is 480
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle KOM
In the triangle KOM
we have


Applying the law of cosines







step 2
Find the measure of the arc KM
we know that
----> by central angle
we have

so

step 3
Find the measure of angle KLM
we know that
The inscribed angle is half that of the arc comprising
![m\angle KLM=\frac{1}{2}[arc\ KM]](https://tex.z-dn.net/?f=m%5Cangle%20KLM%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20KM%5D)
we have

substitute
![m\angle KLM=\frac{1}{2}[106.26^o]](https://tex.z-dn.net/?f=m%5Cangle%20KLM%3D%5Cfrac%7B1%7D%7B2%7D%5B106.26%5Eo%5D)

Answer:
135 square feet
Step-by-step explanation:
area of base and top=2(1/2×6×2.5)=15 square feet.
area of three faces=(2.5+6+6.5)×8=15×8=120 ft
total surface area=15+120=135 square feet.
We have to find the GCF (Greatest Common Factor) of 48 and 42 here...
Factors of 48:
1,2,3,4,6,8,12,16,24,48
Factors of 42:
1,2,3,6,7,14,21,42
The largest common factor of these two numbers is 6.
So, there can be a maximum of 6 members in the club..
Hope this helped!