Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
Answer:
18
Step-by-step explanation:
The answer is 27 for angle f
Answer:
a) 0.6032
b)
Lower limit: 0.48
Upper limit: 0.72
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success 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
.
Question a:
In a random sample of 63 professional actors, it was found that 38 were extroverts.
We use this to find the sample proportion, which is the point estimate for p. So

Question b:
Sample of 63 means that 
95% 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:

Rounding to two decimal places:
Lower limit: 0.48
Upper limit: 0.72
The answer is 25 but i can't exactly show how