Answer:
0.03 is the probability that for the sample mean IQ score is greater than 103.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 16
Sample size, n = 100
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P( mean IQ score is greater than 103)
P(x > 103)
Calculation the value from standard normal z table, we have,

0.03 is the probability that for the sample mean IQ score is greater than 103.
Answer:
y = - 5x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, thus
y = - 5x + c ← is the partial equation of the line
To find c substitute (2, 6) into the partial equation
6 = - 10 + c ⇒ c = 6 + 10 = 16
y = - 5x + 16 ← equation of line
Answer: x = 4.5
Step-by-step explanation:
4x + 14 = 32
Subtract 14 from each side
4x = 18
Divide by 4 on each side
x = 4.5
X=3
6(3-2)-4(3)=8+2(3)-20
6-12=14-20
-6=-6