Isolate "x" on one side of the algebraic equation by dividing the number that appears on the same side of the equation as part of "x."
Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and
be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:

#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:

#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.
Answer:
m∠C = 38°
Step-by-step explanation:
By the inscribed angle theorem,
"Intercepted arc measures the double of the measure of the inscribed angle"
m(arc AB) = 2[m(∠ACB)]
76° = 2[m(∠ACB)]
m(∠ACB) = 38°
Therefore, measure of angle ACB = 38°.
Answer:
Step-by-step explanation:
1. You must apply the formula for calculate the area of a triangle, which is shown below:

2. You know the height and the base, which are given in the problem. Then, you only need to substitute them into the equation shown above and simplify it, as following:


Answer:
12b + 36
Step-by-step explanation:
multiply the outside of the bracket by the inside
12(b + 3)
12b + 36