Answer:
no solution
Step-by-step explanation:
Given
x + 18 = x - 2 ( subtract 18 from both sides )
x = x - 20 ( subtract x from both sides )
0 = - 20 ← not possible
This indicates the equation has no solution
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
Right, Left
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
The 2nd option is correct
Answer: 0.0228 .
Step-by-step explanation:
Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15
Let X denotes the IQ score.
Then, the proportion of people with IQs above 130 is
![P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}]](https://tex.z-dn.net/?f=P%28X%3E130%29%3DP%28%5Cdfrac%7BX-mean%7D%7B%20standard%5C%20deviation%7D%3E%5Cdfrac%7B130-100%7D%7B15%7D%29%5C%5C%5C%5C%3D%20P%28Z%3E2%29%5C%20%5C%20%5C%20%5C%5BZ%3D%5Cdfrac%7BX-mean%7D%7B%20standard%5C%20deviation%7D%5D)
Hence, the proportion of people with IQs above 130 is 0.0228 .
