Answer:
-81
Step-by-step explanation:
- Write it out, so it's more clear:
- Because the base number of the equation (-3) is a negative, we know the answer will be a negative
- Multiply -3 by itself 4 times: -3 × 3 × 3 × 3
- -3 × 3 × 3 × 3 = -81
Well, to figure this out, you would have to divide 28 by 4, since there are four sections. That is 7. 7 divided by 2 is 3.5, so you would have completed 3.5 feet of the fence.
Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let
and
be the sample means of two sets of data of size
and
respectively. We assume that the distribution's of x and y are:


Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:

The random variable t is distributed
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:

So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
0.009 i think this is the answer
Answer:
z = 
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
z² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )
z = 