Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from
1 answer:
Answer:
The sample mean is 3.48 and the margin of error is 0.44.
Step-by-step explanation:
We know that the confidence interval is written in the form "x − E to x + E", meaning x: sample mean or estimator, and E: margin of error.
To calculate the mean, we can calculate the average of both bounds of the confidence interval:
With one of the bounds, we can calculate the margin of error E
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Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.