Answer:
the probability of a Type I error is 0.10
Step-by-step explanation:
Given the data in the question;
significance level ∝ = 0.10
Null H₀ hypothesis is true;
the probability of a Type I error = ?
we know that; a type 1 error is the error of rejecting a Null hypothesis when in reality, it is true. That is false positive.
Hence, our type 1 error will be;
P(rejecting null | null true ) = significance level ∝ = 0.10
Therefore, the probability of a Type I error is 0.10
2/3 is the answer. Try not to overthink these answers because they’re usually quite simple in the end. :)
Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get





According to Law of sines,

Using Law of sines, we get



Multiply both sides by 0.8572.



Therefore, the length of i is about 530 inches.
Answer:
x= -2
Step-by-step explanation:
You can evaluate the functions separately, then add results:
.. f(3) = 2*3 +21 = 27
.. g(3) = 3 -24 = -21
(f +g)(3) = f(3) +g(3) = 27 -21 = 6
Or, you can find the combined function and evaluate that for x=3.
.. (f +g)(x) = f(x) +g(x)
.. = (2x +21) +(x -24)
.. = 3x -3
The
.. (f +g)(3) = 3*3 -3 = 6
Either way, the best choice is C) 6.