Answer:
Step-by-step explanation:
How does y change as x increases over a range?
As x increases from -6 to -4, y decreases from 0 to -7
It is a decreasing function in this range and for ranges less than x = -6 as well as the slope is nearly constant
As x increases from -4 to 0, y increases from -7 to 4
It is an increasing function in this range.
For x increasing from zero, y becomes less and less
It is a decreasing function in the range larger than x = 0
Question #1
the answer is A
question #2
the answer is A
Answer and Step-by-step explanation:
This is a complete question
Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
The computation is shown below:
The null and alternative hypothesis is



= 0.7629
Now Test statistic = z
![= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]](https://tex.z-dn.net/?f=%3D%20%5Chat%20p%20-%20P0%20%2F%20%5B%5CsqrtP0%20%5Ctimes%20%281%20-%20P0%20%29%20%2F%20n%5D)
![= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]](https://tex.z-dn.net/?f=%3D%200.7629%20-%200.80%20%2F%20%5B%5Csqrt%280.80%20%5Ctimes%200.20%29%20%2F%2097%5D)
= -0.91
Now
P-value = 0.1804


So, it is Fail to reject the null hypothesis.
There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.
With scientific notation remember this rule; if the exponent is positive, move the decimal point that many places to the right. If it is negative move it that many places to the left. What that will do is make the number larger or smaller to the correct value.
So for example, if you had to solve 1.02 x 10^4 you would move the decimal four places to the right. So you would end up with 10200.
As another example if you had to solve 1.02 x 10^-2 you would move the decimal two places to the left. That would give you .0120.
So now we are onto your problem. 2.606 x 10^7.
You would move the decimal seven places to the right, because the exponent is positive, that will make your number larger(which would make more sense if you were adding populations, right?).
That would give you 26,060,000 people living in Texas.
From there simply add the two populations together and you will have your answer!
given: 
$\therefore Ac=\frac{(2)2}{2}=2$