Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are interse
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Answer:
The point estimate is 0.3488.
The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).
Step-by-step explanation:
In a sample with a number n of people surveyed with a point estimate of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
The point estimate is 0.3488.
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).
The measure of one side of the base = 4 cm
Formula for the volume of a square pyramid
The area of the base of the pyramid = 16 cm²
Length of the side of the base of the pyramid = 4 cm
Solution:
Given data:
Volume of a square pyramid = 48 cm³
Height of the square pyramid = 9 cm
Formula for the volume of a square pyramid:
, where a is one side of the base and h is height.
Substitute volume and height in the formula,
Divide by 3 on both sides of the equation,
– – – – (1)
Taking square root on both sides of the equation, we get
a = 4
One side of the base = 4 cm
Area of the base = side × side
It is already found in equation (1),
Area of the base = 16 cm²
Length of the side of the base of the pyramid = 4 cm.