Find g(x) if it is known that g(5a)=20a−9.

Step-by-step explanation:

This is very short if you know the answer.

g(5a) means that where ever you see x on the right, you put in 5a

So g(5a) = b(5a)- 9    The 9 does not come into it.

b*5a = 20a                 Divide by 5a

b*5a/5a = 20a/5a

b = 4

So g(x) = 4x - 9

We reject the students claim because the P-value is less than the significance level.

Step-by-step explanation:

First of all let's define the hypothesis;

Null hypothesis;H0; μ = 25,235

Alternative hypothesis;Ha; μ > 25,235

Now, let's find the test statistic. Formula is;

t = (x' - μ)/(σ/√n)

We are given;

x' = 27,524

μ = 25,235

σ = 6000

n = 100

Thus;

t = (27524 - 25235)/(6000/√100)

t = 2289/600

t = 3.815

So from online p-value calculator as attached, using t=3.815, DF = 100-1 = 99 and significance level of 0.05, the P-value is gotten as p = 0.000237.

The p-value is less than the significance level of 0.05. Thus,we reject the students claim.