Answer:
Edwin wins by 1 sec
Step-by-step explanation:
Hope it helped you!
1
P(V|A) is not 0.95. It is opposite:
P(A|V)=0.95
From the text we can also conclude, that
P(A|∼V)=0.1
P(B|V)=0.9
P(B|∼V)=0.05
P(V)=0.01
P(∼V)=0.99
What you need to calculate and compare is P(V|A) and P(V|B)
P(V∩A)=P(A)⋅P(V|A)⇒P(V|A)=P(V∩A)P(A)
P(V∩A) means, that Joe has a virus and it is detected, so
P(V∩A)=P(V)⋅P(A|V)=0.01⋅0.95=0.0095
P(A) is sum of two options: "Joe has virus and it is detected" and "Joe has no virus, but it was mistakenly detected", therefore:
P(A)=P(V)⋅P(A|V)+P(∼V)⋅P(A|∼V)=0.01⋅0.95+0.99⋅0.1=0.1085
Answer:
a) C = 250 + 1.25n
b) 1800
c) 300
Step-by-step explanation:
a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C
b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800
c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300
Answer:
x = −
1
, 2
√
3
/3
, and −
2
√
3
/3
Step-by-step explanation:
3x^3+3x^2-4x-4=0
By factoring, I can get simpler equations to get the roots.
x + 1 = 0, or x = -1
√
3 x + 2 = 0, or −
2
√
3
/3
√
3 x - 2 = 0, or 2
√
3
/3
Answer:
3
Step-by-step explanation:
((7x-4)^2) - (7x-4)(7x-4) + 3
(7x-4)(7x-4) is 7x-4^2
So its (7x-4)^2 - (7x-4)^2 + 3
(7x-4)^2 cancel out.
Answer is 3
