Answer:
x = 2
y = 4
Step-by-step explanation:
y = x + 2
y = 3x - 2
From equation one, y = x + 2
So, substitute x + 2 for y into equation two
We have
x + 2 = 3x - 2
Add 2 to both sides of the equation
x + 2 + 2 = 3x - 2 + 2
x + 4 = 3x
Subtract x from both sides
x - x + 4 = 3x - x
4 = 2x
Divide both sides by by 2
4/2 = 2x/2
2 = x
x = 2
Substitute 2 for x in either of the equations to get y.
Using the first equation, we have
y = 2 + 2
y = 4
Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
P = 7%
P =
P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
P' = 1 - P
P' = 1 - 0.07
P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
probability of the second person selected is nervous around strangers = P
Probability both are nervous around strangers = (P × P)
= 0.07 × 0.07
= 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
= (0.07 × 0.93) + (0.07 × 0.93)
= 0.0651 + 0.0651
= 0.1302
-4 is the slope in the equation
Answer:
3 buses are needed.
Step-by-step explanation:
If there are only 2 buses, it would be full, but there would still be 12 students without a bus. To take all students, you'd need 3 buses. 2 buses will be full, and the other bus would only have 12 students.
Answer:
-30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2 ab^3
Step-by-step explanation: