Answer:
D) 0.0796
Step-by-step explanation:
Birth weights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g.
mean = 3570 and SD = 500
We need to find P(3500<x<3600)
P(3500<x<3600)= P(x=3600)- P(x=3500)
to find P(x=3600) we find z-score
![z= \frac{x-mean}{SD} =\frac{3600-3570}{500} =0.06](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7Bx-mean%7D%7BSD%7D%20%3D%5Cfrac%7B3600-3570%7D%7B500%7D%20%3D0.06)
Now use z-score table . z-score = 0.5239
P(x=3600)=0.6179
to find P(x=3500) we find z-score
![z= \frac{x-mean}{SD} =\frac{3500-3570}{500} =-0.14](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7Bx-mean%7D%7BSD%7D%20%3D%5Cfrac%7B3500-3570%7D%7B500%7D%20%3D-0.14)
Now use z-score table . z-score = 0.4443
P(x=3600)=0.4443
P(3500<x<3600)= P(x=3600)- P(x=3500)
P(3500<x<3600)=0.5239-0.4443 = 0.0796
Answer:
The solution of given expression = 5 , -3
Step-by-step explanation:
Given expression;
15 - 4x = x² - 6x
Find:
The solution of given expression
Computation:
15 - 4x = x² - 6x
x² - 6x + 4x - 15 = 0
x² - 2x - 15 = 0
x² - (5 - 3)x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x - 5)(x + 3) = 0
So,
x - 5 = 0 and x + 3 = 0
x = 5 and x = -3
The solution of given expression = 5 , -3