4(8x - 8) = -192
32x - 32 = -192
+32 +32
-----------------------
32x = -160
-------------------
32 32
Answer: x = -5
Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed.
Answer: If two dice are tossed, there are
possible outcomes.The possible pairs that can be observed are given in a set denoted by s below:
![\left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%281%2C1%29%26%281%2C2%29%26%281%2C3%29%26%281%2C4%29%26%281%2C5%29%26%281%2C6%29%5C%5C%282%2C1%29%26%282%2C2%29%26%282%2C3%29%26%282%2C4%29%26%282%2C5%29%26%282%2C6%29%5C%5C%283%2C1%29%26%283%2C2%29%26%283%2C3%29%26%283%2C4%29%26%283%2C5%29%26%283%2C6%29%5C%5C%284%2C1%29%26%284%2C2%29%26%284%2C3%29%26%284%2C4%29%26%284%2C5%29%26%284%2C6%29%5C%5C%285%2C1%29%26%285%2C2%29%26%285%2C3%29%26%285%2C4%29%26%285%2C5%29%26%285%2C6%29%5C%5C%286%2C1%29%26%286%2C2%29%26%286%2C3%29%26%286%2C4%29%26%286%2C5%29%26%286%2C6%29%5Cend%7Barray%7D%5Cright%5D)
X is less than or equal to 4
Answer:
Set of hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20.5 oz
Sample mean,
= 20.4 oz
Sample size, n = 50
Population standard deviation, σ = 2.25 oz
First, we design the null and the alternate hypothesis
We use One-tailed z test(left tailed) to perform this hypothesis.
Formula:
Putting all the values, we have
Based on the significance level, we can make our decision and complete the hypothesis testing.
We may accept the null hypothesis or fail to accept depending on different significance level.
Answer:
No triangle
Step-by-step explanation:
All triangles must have angles that measure up to 180 degrees. When you add 32, 32, and 126 you get 190. That means that no triangle can be formed.
I hope this helps!