On Monday in Minneapolis, Minnesota, it was 0 °F
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Answer:
Probability that average height would be shorter than 63 inches = 0.30854 .
Step-by-step explanation:
We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.
Also, a random sample of 4 women from this population is taken and their average height is computed.
Let X bar = Average height
The z score probability distribution for average height is given by;
Z = ~ N(0,1)
where, = population mean = 64 inches
= standard deviation = 4 inches
n = sample of women = 4
So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)
P(X bar < 63) = P( <
) = P(Z < -0.5) = 1 - P(Z <= 0.5)
= 1 - 0.69146 = 0.30854
Hence, it is 30.85% likely that average height would be shorter than 63 inches.
Answer:
The total distance of the rectangular garden is the perimeter of the garden.
Step-by-step explanation:
Since the garden is in a rectangular shape. So, the perimeter of the rectangular garden is the distance on which Mr. Hoges can build the fence. However, the perimeter can be determined by adding all the sides. A rectangular shape contains four sides and opposite sides are equal. Thus, it can be determined by using the below formula;
Where
l = length of the garden
b is the breadth of the garden