We are given the expression x³ - 2y² - 3x³ + z⁴. We have to evaluate it at a given set of x, y, and z values. Before then, let's combine like terms.
x³ - 2y² - 3x³ + z⁴
= -2x³ - 2y² + z⁴ <-- by combining like terms
Now we evaluate for x=3 y=5 z = -3
= -2(3³) - 2(5²) + (-3⁴) <-- by putting in for x, y, z
= -2(27) - 2(25) + 81 <--- parentheses and exponents first in order of operations
= -54 - 50 + 81 <---- multiplication is next
= -4 + 81
= 77
Thus, we evaluate and it's 77.
Look at the picture.
NOT: a vertical line passed through the two points.
YES: each element x of set X has a single element y of set Y
435 being the constant means that is what they started with
Hope this helps :)
Answer:
A. The E(Y) is 0.80
B. The expected amount of the surcharges is $165
Step-by-step explanation:
A. In order to calculate the E(Y), we would have to calculate the following formula:
E(Y)=∑yp(y)
E(Y)=(0*0.5)+(1*0.25)+(2*0.20)+(3*0.05)
E(Y)=0+0.25+0.40+0.15
E(Y)=0.80
B. In order to calculate the expected amount of the surcharges we would have to calculate the following formula:
E($110Y∧2)=110E(Y∧2)
=110∑y∧2p(y)
=110((0∧2*0.5)+(1∧2*0.25)+(2∧2*0.20)+(3∧2*0.05))
110(0+0.25+0.80+0.45)
=$165
Answer:
After 5 months they will both have $325 in their savings account
Step-by-step explanation:
200, 225, 250, 275, 300, 325
150, 185, 220, 255, 290, 325
So you can see that they both have the same amount after 5 months
