Answer:
C
Step-by-step explanation:
I think because there is no space or a sign in-between the f and 5, which means you multiply.
Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
Answer:
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).
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 .
For this problem, we have 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:
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).
Answer:
The surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.
Step-by-step explanation:
Slant height of square pyramid = l = 13 mm
Base length of square pyramid = b = 11 mm
Formula of surface area of square pyramid =
Substitute the values in the formula :
Surface area of square pyramid =
Surface area of square pyramid =407 sq.mm.
Hence the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.