Answer:
30.5 feet
Step-by-step explanation:
Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and
be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:

#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:

#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.
Answer:
10
Step-by-step explanation:
You can see that both triangles are the same except for one thing: one is smaller. Since 7 is half of 14 and both triangles are similar, x stands for 10. That is because 10 is half of 20! :D
The formula to find the slope of a line is m =

where the x's and y's are your given coordinates and m is your slope. So, plug in your coordinates and solve.
m = <span>
![\frac{y_2 - y_1}{x_2 - x_1} Plug in your coordinates m = [tex] \frac{-2 - 7}{8 - -1} Cancel out the double negative m = [tex] \frac{-2 - 7}{8 + 1} Simplify m = [tex] \frac{-9}{9} Divide m = -1 Now, plug that slope and one set of your given coordinates into point-slope form, [tex]y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%20%20Plug%20in%20your%20coordinates%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-2%20-%207%7D%7B8%20-%20-1%7D%20%20%20Cancel%20out%20the%20double%20negative%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-2%20-%207%7D%7B8%20%2B%201%7D%20%20%20Simplify%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-9%7D%7B9%7D%20%20%20Divide%20m%20%3D%20-1%20%20%3C%2Fspan%3E%20Now%2C%20plug%20that%20slope%20and%20one%20set%20of%20your%20given%20coordinates%20into%20point-slope%20form%2C%20%5Btex%5Dy%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
. I'll use (-1, 7).
<span>

Plug in your points and slope
</span>y - 7 = -1(x - -1) Cancel out the double negative
y - 7 = -1(x + 1) Use the Distributive Property
y - 7 = -x - 1 Add 7 to both sides
y = -x + 6
</span>
<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.