Answer:
y = - 2, y = - 1
Step-by-step explanation:
y² + 3y + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)
The factors are + 2 and + 1 , since
2 × 1 = 2 and 2 + 1 = 3 , then
(y + 2)(y + 1) = 0
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
y + 1 = 0 ⇒ y = - 1
Answer:
$140.00
Step-by-step explanation:
22 students x $5.00 + $30
22 x $5.00 = $110.00
$110.00 + $30.00 = $140.00
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
Feet
Inches- maybe
Feet- yes
Yards- to long
I'm assuming this question is 3(1-4)(5-7)
3(-3)(-2)
-9(-2)
18