The answer is 0.2450
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied.
In this situation, we have two events occurring simultaneously:
1. Nathan is not allergic to penicillin. The probability that Nathan is not allergic to penicillin is:
1 - the probability of having the allergy.
If the probability of having the allergy is 75% = 0.75, then the probability that Nathan is not allergic to penicillin is:
1 - 0.75 = 0.25
2. The probability that the test is accurate: 98% = 0.98
By using the multiplication rule:
0.25 × 0.98 = 0.245
Therefore, the probability after the test that Nathan is not allergic to the drug is 0.245 = 24.5%.
Answer:
D
Step-by-step explanation:
Substituting in the values gets you exactly where you need to be for these inequalities
Answer: The height of the right prism is 7 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a Right prism= base area x height
Replacing with the values given:
84 = 12 x h
Solving for h (height)
84/12 =h
h = 7 m
In conclusion, the height of the right prism is 7 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
I guess that you want to find the profit:
We have two equations:
the cost equation:
C(x) = -0.1*x^2 + 100.
And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:
S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140
Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:
P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).
Then the profit is 0.4 times the initial cost.
P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40
Answer:
a and d
Step-by-step explanation:
it has a ratio comparison
