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Damm [24]
2 years ago
8

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were all

ergic to
penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The
test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?
A. 0.005
B. 0.015
C. 0.245
D.
0.735

Mathematics
1 answer:
dem82 [27]2 years ago
8 0

Answer:

.735

Step-by-step explanation:

.735 is 98 percent of .75

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Answer:

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dy/dx = -1/x^{2}

Step-by-step explanation:

y = 1/x

dy/dx = d/dx(1/x)

=> dy/dx = d/dx(x^{-1})

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Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

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Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

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