Given :
Initial length of electric cable needed,
.
Later, Sally is told that the homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet.
To Find :
How many feet of wire will be needed now.
Solution :
Wire needed is given by :
Required = Total wire - ( length of 1nd branch + length of 2nd branch )
Required = 550 - ( 23 + 34 )
Required = 550 - ( 57 ) ft
Required = 443 ft
Therefore, length of wire required is 443 ft.
Hence, this is the required solution.
U're goal is to get k alone.
So divide both sides by 9/10.
3/2 divided by 9/10 is 5/3
To solve this problem we can make the following rule of three
6 ---> 3/4
x ----> 1
Clearing x we have:
x = (1/3/4) * (6)
x = (4/3) * (6)
x = 24/3
x = 8
Answer:
Carlos climbs 8 miles for every mile Lara climbs.
Given Information:
Mean SAT score = μ = 1500
Standard deviation of SAT score = σ = 3
00
Required Information:
Minimum score in the top 10% of this test that qualifies for the scholarship = ?
Answer:
![\bar{x} = 1884\\](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%201884%5C%5C)
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.
![P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\](https://tex.z-dn.net/?f=P%28X%20%3E%20%5Cbar%7Bx%7D%20%29%3D%20P%28Z%20%3E%20%5Cbar%7Bx%7D%29%20%3D%200.10%5C%5CP%28X%20%3C%20%5Cbar%7Bx%7D%20%29%3D%20P%28Z%20%3C%20%5Cbar%7Bx%7D%29%20%3D%201%20-%200.10%5C%5CP%28X%20%3C%20%5Cbar%7Bx%7D%20%29%3D%20P%28Z%20%3C%20%5Cbar%7Bx%7D%29%20%3D%200.90%5C%5C)
The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)
![\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%20%5Cmu%20%2B%20z%28%5Csigma%29%20%5C%5C%5Cbar%7Bx%7D%20%3D%201500%20%2B%201.28%28300%29%5C%5C%5Cbar%7Bx%7D%20%3D%201500%20%2B%20384%5C%5C%5Cbar%7Bx%7D%20%3D%201884%5C%5C)
Therefore, you need to score 1884 in order to qualify for the scholarship.
How to use z-table?
Step 1:
In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2
Step 2:
Then look up at the top of z-table and note down the value of the that column which is 0.08
Step 3:
Finally, note down the intersection of step 1 and step 2 which is 1.28
Answer:
2.25
Step-by-step explanation:
to find slope it is (y2-y1)/(x2-x1)
(15.25-8.50)/(5-2)
6.75/3
2.25 is the slope