Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.
The standard deviation is the square root of the variance. So

Then

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Answer:
Option A
Step-by-step explanation:
Given the following question:
Mrs. Hernandez earns $35.60 an hour
One week she earned $854.40
To find the answer we divide 8,544 by 356


Mrs. Hernandez worked "24 hours last week" by using the first options equation, we can find that answer.
Hope this helps.
Answer:
3rd term: 24
10th term: 220
Step-by-step explanation:
<em>For the 3rd term</em>
2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24
<em>For the 10th term</em>
2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220
<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>

Because 7 is being added to x, subtract it from both sides:

Because x is being multiplied by 5, divide both sides by 5:

Therefore.
.
<h3>Question 2</h3>

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

To isolate x, subtract 4 from both sides:

Divide both sides by 2:

Therefore,
.