Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use

r^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
Answer:
60,140
Step-by-step explanation:
alternate interior angles are congruent. and then 1 and 4 are supplementary angles which create 180
A tangent line is always perpendicular to the radius that shares the point of tangency. In other words, where your tangent line touches the circle (at only one point), that line is perpendicular to the radius at that point.
Answer:
X is less than or equal to -3
Hope that answers your question