The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power
<h3>How to complete statement?</h3>
From the question, we have the following highlights
- Null hypothesis is false
- Null hypothesis is correctly rejected
The statement that represents the probability of the above highlights is power
Hence, the statement that completes the blank is power
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Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:
<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:
Let's equate both equations for area and find x first:
We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
Answer:
6 hours
Step-by-step explanation:
180 divided by 30 = 6
