Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
Mu=80, sigma=39, X=85
Z=(X-mu)/sigma = 5/39=0.128=0.13
P(X<=85)= 0.5517 (from Z-table)
so, P(X>85)=1-0.5517=0.4483 approx. thats 44.8% probability.
Answer:
Yes
Step-by-step explanation:
First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.
Set up an equation using the Pythagorean theorem:

Solve for C:
169 + 1225 = C^2
1394 = C^2
C ≈ 37.34
Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.
Again, set up an equation using the Pythagorean theorem, and solve for the new C:

1563.2756 = C^2
C = 39.54
The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.
Have a nice day! :)
The correct answer is:
D. ∠FGE≅∠NMP
Explanation:
The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).
This means since EFG is congruent to HJK, then HJK is congruent to EFG.