The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Use the Pythagorean theorem to solve this problem. So, 81+x^2=1681. ( Pythagorean theorem: a^2+b^2=c^2). x^2=1600. x=40.
Answer:
Mean = 30
standard Deviation = 2.74
Step-by-step explanation:
Formula
mean = np
Standard Deviation = 
from the question = 40
P = 75% or 0.75
q = 1 - p = 1 - 75% or 1 - 0.75
To find mean
mean = 40 x 0.75
= 30
For Standard Deviation (SD)
Standard Deviation =
= 
= 
:. Standard Deviation = 2.74
5-11.
Positive 5 minus negative 11=
11-5=6
Now is 11 greater or 5, 11 is. And what is the integer of 11? A negative.
Therefore, the answer is -6.
The actual pressure before the percentage increase is 36.5
<h3>How to calculate the Actual pressure?</h3><h3 />
- New pressure = £39.42
- Percentage increase = 8%
let
39.42 = x + (8% of x)
39.42 = x + (0.08x)
39.42 = 1.08x
x = 39.42 ÷ 1.08
x = 36.5
Therefore, the actual pressure before the percentage increase is 36.5
Learn more about percentage:
brainly.com/question/11360390
#SPJ1
