Answer:
2.28%
Step-by-step explanation:
As this is normally distributed, we can use z scores to find the percentage.
First, find the z-score for 148.
The z-score that you get is:
(148-160)/2=2
As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.
I used my chart and found: 2.28%
Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :
Now , putting value of x = 5 hours .
We get :
Hence , this is the required solution .
Answer:
67,500 m²
Step-by-step explanation:
ASSUMING the fields look like this __________________
| | |
| | | W
|_________|_________|
L
Let L be the length of the combined field and W be the width
2L + 3W = 1800
2L = 1800 - 3W
L = 900 - 1.5W
A = LW
A = (900 - 1.5W)W
A = 900W - 1.5W²
Area will be maximized when the derivative equals zero.
dA/dW = 900 - 3W
0 = 900 - 3W
3W = 900
W = 300 m
L = 900 - 1.5(300)
L = 450 m
A = LW = 450(300) = 135,000 m²
so each sub field is 135000/2 = 67,500 m²
Answer:
210 m²
Step-by-step explanation:
The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.
Substitute the measures of the diagonal given.
35 * 12 * 0.5 = 210
The area is 210 m²
I hope this helps! Feel free to ask any questions!
Why is (D₁ + D₂)/2 incorrect?
This is a really helpful link:
http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/
https://byjus.com/maths/area-of-rhombus/
Answer:
i have tried but have no idea
help me too haha
Step-by-step explanation:
