Answer: 0.10
Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.
Power is the probability of avoiding a type 2 error. That is ;
Power = 1 - P(type 2 error)
Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
Answer:
see below
Step-by-step explanation:
10/5
(10 over five)
Which is 2
To multiply two fractions together, multiply the numerators of both fractions together and same goes for the denominators.

Simplify.

So, 1/3 is the answer.
Answer:
∠ B = 123°, ∠ D = 57°
Step-by-step explanation:
Each lower base angle is supplementary to the upper base angle on the same side.
∠ A and ∠ D are on the same side, then
6x + 12 + 2x + 20 = 180
8x + 32 = 180 ( subtract 32 from both sides )
8x = 148 ( divide both sides by 8 )
x = 18.5
Thus
∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°
∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°
The lower base angles and the upper base angles are congruent, so
∠ B = ∠ A = 123°
∠ C = ∠ D = 57°