Circumcenter for the Apex students :)
Answer:
4
Step-by-step explanation:
The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.
What's a cube root?
- The cube root of a number is the number you multiply by itself 3 times to get another number.
- One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.
Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.
- 1: 1 x 1 x 1 = 1.
- 2: 2 x 2 x 2 = 8.
- 3: 3 x 3 x 3 = 27.
- 4: 4 x 4 x 4 = 64. (This is the cube root!)
We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Remember to follow PEMDAS. First, multiply the two fractions together.
(3/4 x 4/3) = 12/12 = 1
Simplify the expression. Subtract 4 with 1
4 - 1 = 3
3 is your answer
hope this helps
Step-by-step explanation:
Answer:
Critical value t-score=2.701.
Step-by-step explanation:
When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.
The critical value for t depends on the level of confidence and the degrees of freedom.
If the sample size is 42, the degrees of freedom are:
For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.
