To ride a horse at the state fair costs 2$ per minute. Pablo buys a 16 minute ride. Next time her plans to ride 25% longer. How
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis
b
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
=>
=>
Generally the sample mean for the second sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the first sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the second sample is mathematically represented as
=>
=>
Generally the pooled standard deviation is
=>
=>
The null hypothesis is
The alternative hypothesis
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
=>
=>
From the t distribution table the probability of at a degree of freedom of
is
Generally the p-value is
From the values obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
Option D: 21 in is the base length of the triangular base.
Explanation:
Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.
The height of the triangular base is 6 inches.
We need to determine the base length of the triangular pyramid.
The base length of the triangular pyramid can be determined using the formula,
Substituting and
in the above formula, we get,
Simplifying the terms, we get,
Dividing both sides by 3, we have,
Thus, the base length of the triangular pyramid is 21 in
Hence, Option D is the correct answer.