Considering the situation described, we have that:
a) The critical value is of z = -1.645.
b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.
<h3>What is the critical value?</h3>
We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.
<h3>What is the decision?</h3>
Considering the test statistic, for a left-tailed test, we have that:
- Less than the critical value: Reject H0.
- Equal or greater: Do not reject.
In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.
More can be learned about the test of an hypothesis at brainly.com/question/13873630
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H = 6 in
V=bh
H=v/b
H=36/6
H=6
Answer:
Step-by-step explanation:
Suppose at t = 0 the person is 1m above the ground and going up
Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed
2π / 20 = 0.1π rad/s
The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.
(1)
where 
is vertical distance from the ground to the bottom of the wheel, 
is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, 
is the vertical distance of the person to the center of the wheel.
So solve for in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R
Note that is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.
Therefore, if we plug this into equation (1) then
Input a picture possibly? then i’ll be able to answer…
You can do 280/40 would give you the answer for one minute, then whatever you get, multiply be 280, that is your answer for number 14.so it would be for every one minute you ride 7 miles. so it would be 7 miles times 20 minutes because you are calculating for an hour and we already have 40 minutes, it would give you 140 miles for 20 minutes, then you add 140 +280 which would give you your answer which is 420m/hr. if you read it step by step you would be able to understand.<span />
