Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7
Considering the situation described, the hypothesis tested are given as follows:
- The null hypothesis is
![H_0: \sigma \geq 23](https://tex.z-dn.net/?f=H_0%3A%20%5Csigma%20%5Cgeq%2023)
- The alternative hypothesis is
![H_1: \sigma < 23](https://tex.z-dn.net/?f=H_1%3A%20%5Csigma%20%3C%2023)
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:
![H_0: \sigma \geq 23](https://tex.z-dn.net/?f=H_0%3A%20%5Csigma%20%5Cgeq%2023)
At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:
![H_1: \sigma < 23](https://tex.z-dn.net/?f=H_1%3A%20%5Csigma%20%3C%2023)
More can be learned about an hypothesis test at brainly.com/question/26454209
<u>Answer:</u>
![f(x) = x^2 , x < 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20x%5E2%20%2C%20x%20%3C%202%20)
![f(x) = 5, 2\leq x < 4](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%205%2C%202%5Cleq%20x%20%3C%204%20)
<u>Step-by-step explanation:</u>
We have a parabola and a small line shown in the graph.
The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.
Therefore, this function can be modeled by:
![f(x) = x^2 , x < 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20x%5E2%20%2C%20x%20%3C%202%20)
![f(x) = 5, 2\leq x < 4](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%205%2C%202%5Cleq%20x%20%3C%204%20)
Y = 3/4x - 5/2....subtract 3/4x from both sides
-3/4x + y = -5/2 ....multiply everything by common denominator of 4
-3x + 4y = -10
Answer:
In order to get this perfect square trinomial, the factored form will be (a - b)^2
Step-by-step explanation:
We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.