Answer:
The product of the other two zeros is c
Step-by-step explanation:
Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:
sum of the roots = α + β + γ = -a
-1 + β + γ = -a
β + γ = -a + 1
αβ + αγ + βγ = b
-1(β) + (-1)γ + βγ = b
-β -γ + βγ = b
Also, the product of the zeros is equal to -c, hence:
αβγ = -c
-1(βγ) = -c
βγ = c
Hence the product of the other two zeros is c
Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
sin (38) = 24/x
x *sin (38) = 24
x = 24/ sin (38)
x = 38.98
x = 39.0
In order to get as many tickets they need 15 business class tickets and 12 economy class tickets (700x15=10,500)(375x12=4500) Which when you add those two makes 15,000.
P = 16 because if u add 4 to 14 you will get 18 and minus 2 from it to get 16
Answer:
Pr(B) = 0.69
Pr(J/B) = 0.35
Pr(J∩B) = 0.14
Pr(G/J') = 0.66
Pr(G) = 0.31
Step-by-step explanation:
Applying,
Pr = possible outcome (a)/Total outcome(t)
(1) Pr(B) = a/t............ Equation 1
From the diagram
Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465
Substitute these values into equation 1
Pr(B) = 320/465
Pr(B) = 0.69
(2) Pr(J/B) = (35+65)/(220+65)
Pr(J/B) = 100/285
Pr(J/B) = 0.35
(3) Pr(J∩B) = 65/465
Pr(J∩B) = 0.14
(4) Pr(G/J') = 145/220
Pr(G/J') = 0.66
(5) Pr(G) = 145/465
Pr(G) = 0.31
