The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the
1 answer:
Answer:
9.14 inches.
Step-by-step explanation:
From the question,
Assuming the diagram attached, is similar to diagram required to support the question,
From the diagram,
Applying pythagoras theorem
a² = b²+c²...................... Equation 1
Where a = 13.4 in, b = x in, c = 9.8 in.
Substitute these values into equation 1
13.4² = x²+9.8²
x² = 13.4²-9.8²
x² = 179.56-96.04
x² = 83.52
x = √(83.52)
x = 9.14 inches
Hence the distance between the rods is 9.14 inches
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Answer:
Null Hypothesis, : p = 0.20
Alternate Hypothesis, : p > 0.20
Step-by-step explanation:
We are given that 241 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea.
We have to use a 0.05 significance level to test the claim that more than 20% of users develop nausea.
<em>Let p = population proportion of users who develop nausea</em>
So, <u>Null Hypothesis,</u> : p = 0.20
<u>Alternate Hypothesis</u>, : p > 0.20
Here, <u><em>null hypothesis</em></u> states that 20% of users develop nausea.
And <u><em>alternate hypothesis</em></u> states that more than 20% of users develop nausea.
The test statistics that would be used here is <u>One-sample z proportion</u> test statistics.
T.S. = ~ N(0,1)
where, = proportion of users who develop nausea in a sample of 241 subjects =
n = sample of subjects = 241
So, the above hypothesis would be appropriate to conduct the test.