You would be able to hire 40. Hope this helps
Answer:
The null and alternative hypothesis for this test are

Step-by-step explanation:
If we perform a hypothesis test, we can reject or not reject the null hypothesis.
To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis
and then go on with the analysis to reject it (or not).
If the null hypothesis is rejected, the claim of the manufacturer is rigth.
The alternative hypothesis would be
, that would turn rigth if the null hypothesis is rejected.
In your problem:
p = 18.3% = 0.183
n = 130
The standard error can be calculated by the formula:
SE = √[p · (1 - p) / n]
= √[0.183 · (1 - 0.183) / 130]
= 0.0339
The standard error of the proportion is 0.034.
Answer:
(a) 

(b)

Step-by-step explanation:
(a)

Let u = π x
differentiating with respect to x
du = π dx

Putting the value of x and dx

[ c is an arbitrary constant]
Now putting the value of u
(b)

Let 
differentiating with respect to x

2du = dx
Putting the value of x and dx
=
=
Now putting the value of u
[ c is an arbitrary constant]