(x-6)(x+6)
solve just to make sure
x^2+6x-6x-36
combine like terms
x^2-36
:) ta da
Answer: 8 cups each
explanation: 1 quart= 4 cups
8 quarts=32 cups
32 cups/ 4 people= 8 cups each
Every 5 red cars there are 3 blue cars
so if there are 40 red cars there are going to be 24 blue cars
Answer: he lived 9 months in Portugal and 5 months in Brazil.
Step-by-step explanation:
Let x represent the number of months he lived in Portugal.
Let y represent the number of months he lived in Brazil.
Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. This means that
x + y = 14
He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. This means that
130x + 150y = 1920- - - - - - - - - - - 1
Substituting x = 14 - y into equation 1, it becomes
130(14 - y) + 150y = 1920
1820 - 130y + 150y = 1920
- 130y + 150y = 1920 - 1820
20y = 100
y = 100/20
y = 5
x = 14 - y = 14 - 5
x = 9
Answer:
0.8675
Step-by-step explanation:
Given that people ages 16-30 make up 15% of drivers on the road, 80% of drivers are aged 31-64, and 5% of drivers are aged 65+.
Furthermore, suppose drivers in each age range cause car accidents at the rates of 6%, 4%, and 9%, respectively.
age 16-30 31-64 >65
Prob 0.15 0.8 0.05 1
Prob for accidents 0.06 0.09 0.04
Product 0.009 0.072 0.002 0.083
Prob for 31-64 causing it/accident =
Using Bayes theorem we got answer as 0.8675
