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.
Answer:
Step-by-step explanation:
x² - x -6 = x² + 2x - 3x - 3*2
=x(x + 2) - 3(x + 2)
= (x + 2 )(x - 3)


Answer:
The expressions here are;
6 + 5w
3-16v
4v+ 1
7-v
Step-by-step explanation:
Here, out of the given set, we want to choose all options that are expression.
To do this, we should understand that expressions do not have the equality sign like equations
So expressions are those in the set in which we do not have an equality sign
The right answer is thus;
6 + 5w
3-16v
4v + 1
7-v
Answer:
x=25
Explanation:
Using the method of cross multiplication and division set up like so,
(100•4.5)/18 will give you 25.
4.5•100=450
450/18=25
You will need to use the Pythagorean Theorem and plug in the varibles. The rope is the hypotenuse of the right triangle formed, and the 40ft water is the vertical leg, which leaves the ocean floor to be the horizontal leg.[a^{2}+b^{2}=c^{2}\] \[a^{2}+40^{2}=140^{2}\] Then solve for a. \[a^{2}=18000\] \[a=134.164\]