Answer:
The null hypothesis is 
Step-by-step explanation:
According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22
This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.
At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:
X=number of plates
y=number of cups
4x+5y=25.25
7x+3y=25.50
Add the two equations together:
11x+8y=50.75
11x=50.75-8y
x=
Plug x into the first equation:
4x+5y=25.25
4(
) = 25.25
= 25.25
= 25.25
203-32y = 277.75
-32y=74.75
32y=-74.45
y=2.34 (rounded to nearest hundredth)
The price of a plate is $2.34
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
Answer:
69 and 29
Step-by-step explanation:
if you add 90 by 69 and 29 you will get the answer of 180.
Answer:
40 square inches
step-by-step explanation:
The new club sticker is in the shape of a triangle
It has a height of 8 inches
And a base of 10 inches
Area of a triangle is given by: 
× base × height
Area of the triangular club sticker = × 10 inches × 8 inches = 40 square inches.
