Patricia is 5 years older than Wyatt. The sum of their ages is 61. How old are Patricia and Wyatt?
2 answers:
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The radius of cone is 2 inches
<em><u>Solution:</u></em>
<em><u>The volume of cone is given by formula:</u></em>
Where,
"V" is the volume of cone
"r" and "h" are the radius and height of cone respectively
Given that, volume of a cone is 16 pi cubic inches
Its height is 12 inches
Therefore, we get,
V = cubic inches
h = 12 inches
r = ?
<em><u>Substituting the values in formula, we get</u></em>
Since, radius cannot be negative, ignore r = -2
Thus radius of cone is 2 inches
Answer:
Check the explanation
Step-by-step explanation:
The null and alternative hypotheses in symbols and words are as follows:
: p ≤ 0.06 (There has been no change in the contribution rate due to addition of the mailing labels)
: p > 0.06 (The addition of the mailing labels has increased the contribution rate)
Test Statistics
The following information is provided: The sample size is N = 75000, the number of favorable cases is X = 5625, and the sample
The z-statistic is computed as follows:
- (1 -
Test statistic z = 17.297
P-value
P-value corresponding to z = 17.297 for a two tailed test is obtained using standard normal table.
p-value = 0.0000
90% Confidence Interval Calculation
Kindly check the attached image below.
Conclusion
Since p-value = 0.0000 < α = 0.05, we reject null hypothesis .
At 0.05 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.
Since the 90% confidence interval (0.073, 0.077) does not contain the hypothesized value 0.06, the result is significant and we reject null hypothesis.
In other words, at 0.10 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.
