Answer:
2.3%
Step-by-step explanation:
The formula to convert x into z distribution is
Where z is the test statistic
x is what we are looking for (in this case 37)
is the mean (in this case, it is 25)
is the standard deviation (we have 6)
<em>Plugging these into the formula, we get:</em>
Thus we can say we want 
<u>Note: </u> 
The table given is for any z where 
Thus, now we have:
0.0228 into percentage is 0.0228 * 100 = 2.28%
Rounded, we get 2.3%
Third answer choice is right.
Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° = 
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x = 
≈ 88.2
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)
Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.
- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating , but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>. But, how do we decide between answers a and c?
- If a line has point at its beginning, , then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
