Which triples are Pythagorean triples?
1 answer:
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Answer:
Yes, Hypothesis test represents a statistically significant difference from 50% .
Step-by-step explanation:
We are given that 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep.
Let Null Hypothesis, : p = 0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is 50%}
Alternate Hypothesis, : p
0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, = sample proportion = 289/400 = 0.7225
n = sample of students = 400
So, test statistics = = 3.143
<em>Now, at 1% level of significance, z table gives critical value of 2.5758. Since our test statistics is more than the critical value which means test statistics will lie in the rejection region, so we have sufficient evidence to reject null hypothesis.</em>
Therefore, we conclude that from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%.
The formula to find speed:
We first need to find the distance to gift store:
18/60 × 10
=3miles
We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes
In total he walked:
3x2
=6miles
We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph
The answer is 15mph.
Hope it helps!
We first need to find the distance to gift store:
18/60 × 10
=3miles
We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes
In total he walked:
3x2
=6miles
We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph
The answer is 15mph.
Hope it helps!
Answer:
Step-by-step explanation:
6 weeks is 42 days.
6 days/42 days = 1/7