Answer:
A. T > 2.539
Step-by-step explanation:
We have a hypothesis test of the mean, with unknown population standard deviation.
The hypothesis are:
From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.
The degrees of freedom can be calculated as:
The significance level is 0.01, so the critical value tc should be the one that satisfies:
Looking up in a t-table, for 19 degrees of freedom, this critical value is tc=2.539.
Answer:
The fisrt one were it almost hits 3
Step-by-step explanation:
We will see that the cube must be 10.23 inches tall.
<h3>
How tall is the cube?</h3>
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
Option The product of 
is
is correct.
That is 
Step-by-step explanation:
Given expression is
To find the product of the given expression :
( By using the distributive property each term in the factor is multiplied by each term in the another factor )
![=[-x(x^2)+(-x)(3x)+(-x)(-3)]+[4(x^2)+4(3x)+4(-3)]](https://tex.z-dn.net/?f=%3D%5B-x%28x%5E2%29%2B%28-x%29%283x%29%2B%28-x%29%28-3%29%5D%2B%5B4%28x%5E2%29%2B4%283x%29%2B4%28-3%29%5D)
( adding the like terms )
Therefore
Therefore Option The product of
is is correct.
That is
