What is the area of the shaded sector of the circle?
1 answer:
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Given:
Length of chords of one segment = 11 and 8
Length of chords of other segment = 2 and x
To find:
The value of x.
Solution:
<em>If two chords intersect each other inside a circle, the products of length their segments are equal.</em>
Divide by 2 on both sides.
Switch the sides.
The value of x is 44.
Answer:
Mean = 94
Standard deviation = 1.12
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
In this problem, we have that:
By the Central Limit Theorem
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Mean = 94
Standard deviation: