a spherical container with a radius of 4 ft is filled with gas that costs$12 per cubic foot what is the total value of the gas i
1 answer:
The spherical container has a radius of 4ft (where ft represents feet)
Its filled with gas that costs $12 per ft³
The value of gas in the container = ?
The volume of a sphere = 4/3r³
The volume of the container = 4/3 × × 4³ ft³
One cubic foot = $12
4/3 × × 64 = How much?
Cross multiplying gives:
4/3 × ×64 × $12 = $3216.99 (Rounded up to nearest one cent)
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Answer:
Th computed value of the test statistic is 3.597
Step-by-step explanation:
The null and the alternative hypothesis is as follows:
Null Hypothesis:
the population correlation coefficient is equal to zero
the population correlation coefficient is not equal to zero
The test statistics for Pearson correlation coefficient is thus computed as :
where;
r = correlation coefficient = 0.60
n = sample size = 25
So;
t = 3.597
Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069
Decision Rule:
Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.
Conclusion:
We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.