Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Answer:
Step-by-step explanation:
Answer:
1. 17.50
2. 6
Step-by-step explanation:
1A: First you have to divide the cost by the three pounds to get the price per pound. Now that you have that answer you multiply it by 7 to get the price of 7 pounds.
2A: You can buy 6 pounds because if you multiply 7.5 x 6 you get 45 which you cannot add one more 7.50 so that is your final answer.
Hope this helps you ^^
Answer:
The minimum value of this function is -40.
Step-by-step explanation:
Recall that the minimum of a quadratic whose graph is a parabola that opens up, as this one does, is the vertex of the graph. The x-coordinate of the vertex is given by x = -b / (2a), where a is the coefficient of the x^2 term and b is that of the x term.
Here, x = -12 / (2*2), or x = -12/4, or x = -3.
Find the y-value at this x-value: f(-3) = 2(-3)^2 + 12(-3) - 22, or
f(-3) = 2(9) - 36 - 22, or -40.
The vertex is at (-3, -40). The minimum value of this function is -40.
If it is (x-4)(x-2)3x than the answer is 3x(x^2-4x-2x+8) = 3x(x^2-6x+8) = 3x^3 - 18x^2 + 24x
If it is (x+4)(x-2)3x than the answer is 3x(x^2+4x+2x+8) = 3x(x^2+6x+8) = 3x^3 + 18x^2 + 24x
