Answer:
a) 0.8413
b) 421
c) 
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 165
Standard Deviation, σ = 15
We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(IQ scores at most 180)
P(x < 180)
Calculation the value from standard normal z table, we have,
b) Number of the members of the club have IQ scores at most 180
n = 500
c) P(X< x) = 0.95
We have to find the value of x such that the probability is 0.95
Calculation the value from standard normal z table, we have,
Answer:
70 degrees
Step-by-step explanation:
Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.
Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees
Answer:
x = -48
Step-by-step explanation:
4x + 2 = 5(x + 10)
expand the 5(x+10)
4x + 2 = 5x + 50
-2 both sides
4x + 2 - 2 = 5x + 50 - 2
simplify
4x = 5x + 48
-5x both sides
4x - 5x = 5x + 48 - 5x
simplify
-x = 48
÷ (-1) both sides
-x ÷ (-1) = 48 ÷ (-1)
simplify
x = -48
The answer is x = -48.
Answer:
why
Step-by-step explanation:
Answer:
The other angle would be equal to 133 degrees.
Step-by-step explanation:
All linear pairs are supplementary angles, which means that they are equal to 180. So we can find the second angle by using the following angle.
47 + x = 180
x = 133
