Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as

For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,

Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
Answer:
The probability a person selected random is not suffering from Malaria is 0.725.
Step-by-step explanation:
Denote the events as follows:
X = a person is suffering from Malaria
M = a man
W = a woman
The information provided is:
P (M) = P (W) = 0.50
P (X|M) = 0.10
P (X|W) = 0.45
Compute the probability a person selected random is suffering from Malaria as follows:


Then the probability a person selected random is not suffering from Malaria is:
P (X') = 1 - P (X)
= 1 - 0.275
= 0.725
You put 4 in the X
1/2(4)+5y-10<0
2+5y-10<0
-8+5y<0
5Y<8
Y<8/5
Answer:
X=30; Z=80; Y=70
Step-by-step explanation:
The straight lines equal 180 and you subtract 180 to 150 and 180 to 100 to get 30 and 80 and the inside of a triangle is 180 and you subtract 30 and 80 to 180 to get 70.