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
Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
So, to solve this, you just plop those x and y values into the equation. So:
3(8) -2(-5)= 6
24- (-10) =6
34=6
34=/=6
Since these two are not equal, the ordered pair <em />is not a solution.
Answer:
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
where b is the base: and h is the height:
thus, in this case we have:
And now, the volume will be the area of the triangle multiplied by the length of the prism:
Substituting the known values:
The volume in cubic centimeters is 150.