The following subsets you can be able to create are:
{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}
Therefore, there are 7 subsets in all. However, we don't have to list all these possible outcomes because we could waste our time doing this but there is a formula, that is 2^n - 1 where n is a number of elements.
In the given, since there are 3 elements inside the set then we use 2^3 - 1 = 8 - 1 = 7.
See...it's easy.
We'll have a rectangle. In this attached photo, you can easily observe it. Its sides are going to be 6 and 8 and it will be parallel to the sides. The area of this rectangle is A=6*8=48 cm²
Answer:
55
Step-by-step explanation:
Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...
(x-2)/(x+2) > 2/3
3x -6 > 2x +4 . . . . cross multiply
x > 10 . . . . . . . . . . .add 6-2x
The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.
The smallest sum is 55.
This is just my guess but I want to say no they are not similar because the first 10 + 5 = 15
8 + 5 = 13 not 12
To make it similar, 8 needs to be 7. This is ONLY my guess, I’m not 100% confident in my answer
Answer:
a. z = 2.00
Step-by-step explanation:
Hello!
The study variable is "Points per game of a high school team"
The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)
The hypothesis is:
H₀: μ ≤ 99
H₁: μ > 99
α: 0.01
There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.
The statistic value under the null hypothesis is:
Z= X[bar] - μ = 101 - 99 = 2
σ/√n 6/√36
I don't have σ, but since this is an approximation I can use the value of S instead.
I hope it helps!
