Seven kilometers is how many meters
2 answers:
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Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
To calculate the probability of event B, we make use of the following formula
So, we have:
Collect like terms
Hence, the probability of event B is 0.62
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The volume of the cylinder is the amount of space on it
The volume of the oblique cylinder is 174.19 cubic units
<h3>How to determine the volume of the cylinder?</h3>The given parameters are:
AB = 16 units
Radius (r) = 2 units
Start by calculating the height (h) using:
This gives
The volume of the cylinder is then calculated as:
This gives
Approximate
Hence, the volume of the oblique cylinder is 174.19 cubic units
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Answer:
There is no enough evidence to reject the claim using a level of significance of 5%
Step-by-step explanation:
Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test
vs
(two-tailed alternative).
We have a large sample of size n = 500 and a point estimate for p is . The test statistic is given by
where
is the standard error of
when
is true. The observed value is
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.