If a test of hypothesis has a type i error probability of .05, it means that if the null hypothesis is true,
(a) you don't reject it 5% of the time if the null hypothesis is true
(b) you reject if 5% of the time if the null hypothesis is false
(c) you don't reject it 5% of the time if the null hypothesis is false
(d) you reject it 5% of the time

(D) you reject it 5% of the time

Step-by-step explanation:

Given : A test of hypothesis has a Type I error probability of 0.05

Which can be written as 5%.

It means that if null hypothesis is true, you reject it 5% of the time.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus