Answer:
C=14pi cm
A=49pi cm^2
Step-by-step explanation:
1) Circumference of a circle is 2piR and R=7cm
C=2pi(7)
C=14pi cm
2) Area of a circle is piR^2 and R=7cm
A=pi (7)^2
A=49pi cm^2
The new mean age will be greater than 14.2 years because the teacher is older than the previous mean.
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Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
We want to write in the form
y = mx+b where m is the slope and b is the y intercept
-3x+2y = 8
Add 3x to each side
-3x+3x+2y = 3x+8
2y = 3x+8
Divide each side by 2
2y/2 = 3x/2 + 8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
Answer:
(c)approximately Normal, mean 112, standard deviation 1.414.
Step-by-step explanation:
To solve this problem, we have to understand the Central Limit Theorem
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:

Using the Central Limit Theorem
The distribution of the sample mean IQ is approximately Normal.
With mean 112
With standard deviation 
So the correct answer is:
(c)approximately Normal, mean 112, standard deviation 1.414.