Answer: a. 0.1031; fail to reject the null hypothesis
Step-by-step explanation:
Given: Significance level : 
The test statistic in a two-tailed test is z = -1.63.
The P-value for two-tailed test : 
[By p-value table]
Since, 0.1031 > 0.05
i.e. p-value > 
So, we fail to reject the null hypothesis. [When p< then we reject null hypothesis ]
So, the correct option is a. 0.1031; fail to reject the null hypothesis.
Sample space for all possible outcomes:
HH, HT, TH, TT
Sample space for event where heads is the first toss:
HT, HH
Answer:
$63
Step-by-step explanation:
15.75 / 3 = 5.25
5.25 is what each ticket was worth
5.25 * 12 = 63
Answer: 42
Step-by-step explanation:
Ok what you want to do is add all of them up and equal it to 180 because a triangle is 180 degrees .
Your equation should look like this
9x-3+22x+1+42-3x = 180
What you want to do first is combine all the x and numbers on the left side so it should look like this
1) 28x+40= 180
Then you want to subtract 40 on both sides so it will look like this
2)28x=140
You want to get x by it self so you divide 28 on both sides
3) x=140/28
4) x=5
Since you are finding c you have to insert 5 into x
1) 9(5)-3
2)45-3
Then your answer should be 42
Answer:
(x^2-2)(x+3)
Step-by-step explanation:
x^3 + 3x^2 - 2x - 6
x^2(x+3)-2(x+3)
(x^2-2)(x+3)
