Nathan had an infection, and his doctor wanted him to take penicillin. because nathan’s father and paternal grandfather were allergic to penicillin, nathan has 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 not allergic to penicillin and the test predicts it?

0.005
0.015
0.245
0.735

Option 3 is correct.

Step-by-step explanation:

Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has 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.

we have to find  the probability that Nathan is not allergic to penicillin and the test predicts it.

As, Nathan has a 75% chance of having the same allergy.

Hence, (100-75)%=25% chance of not having the same allergy.

Also the test predicts given

∴ Probability that Nathan is not allergic to penicillin and the test predicts it is =

  =

Hence, Option 3 is correct.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

99

step-by-step explanation: