F(1)=6(1)+2
= 6+2
=8
g(f(1))= 2x/5 +4/5
= 2(8)/5 +4/5
= 16/5 +4/5
= 20/5
=4
Answer:
first one is 82% second is 214%
Step-by-step explanation:
Step 1: Divide 288 by 351 to get the number as a decimal. 288 / 351 = 0.82
Step 2: Multiply 0.82 by 100. 0.82 times 100 = 82
Step 1: Divide 212 by 99 to get the number as a decimal. 212 / 99 = 2.14
Step 2: Multiply 2.14 by 100. 2.14 times 100 = 214
Answer:
a) 0.5588
b) 0.9984
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 24
Standard Deviation, σ = 6.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score between 20 and 30)

b) Sampling distribution
Sample size, n = 22
The sample will follow a normal distribution with mean 24 and standard deviation,

c) P(mean score of sample is between 20 and 30)

For this case we must rewrite the following expression as a fraction:

So, we have:

We divide numerator and denominator by 5:

Thus, the simplified expression is:

Answer:
