Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Hello there I hope you are having a great day :)
<u>The Topic Shifting digits:</u>
Shifting digits - Putting a digit in a different place. For a example Take the number 358 you would exchange the number from the hundreds that would equal 838 this meaning that you what to make a bigger number than a small one.
Examples:
1. 358 equal 838
2. 204 equal 402
3. 188 equal 881
You are just making them smaller to a greater number :)
Hopefully that helps you :)
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Answer:
The answer is "The null hypothesis was rejected".
Step-by-step explanation:
Following are the right-tailed test:
Calculating the null and alternative hypothesis:

![= \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B0.4267%20-%200.3333%7D%7B%5B%5Csqrt%7B%5Cfrac%7B%280.3333%20%5Ctimes%200.6667%29%7D%7B150%7D%7D%5D%7D%5C%5C%5C%5C%3D%202.426)
Calculating the right-tailed test:

Therefore, we reject the null hypothesis.
This example shows that more than a third of the families own pets in this town.
Answer:
y = 3/4x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Define
(0, -2) y-intercept
(4, 1) random point
Step 2: Find slope <em>m</em>
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y = 3/4x + b
Step 3: Write linear equation
y = 3/4x - 2