Answer:
The probability is 0.245
Step-by-step explanation:
Call B the event: Nathan is allergic to penicillin.
We know from your family history that
So the probability that Nathan is not allergic to penicillin is
Then, the test has 98% accuracy, that is: The probability that the test result is correct is 0.98.
So the probability that the test predicts that Nathan is not allergic and is not really allergic is:
There is a 24.5% chance that Nathan is not allergic and the test predicts it
The equation represents both a relation and a function
<h3>How to determine if the equation represents a relation, a function, both a relation and a function, or neither a relation nor a function?</h3>
The equation is given as
y = x^4 - 3x^2 + 4
First, all equations are relations.
This means that the equation y = x^4 - 3x^2 + 4 is a relation
Next, the above equation is an even function.
This is so because
f(x) = f(-x) = x^4 - 3x^2 + 4
This means that the equation is also a relation
Hence, the equation represents both a relation and a function
Read more about functions and relations at:
brainly.com/question/6904750
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Probability that the first card is not a club is 1 minus probability that it is a club. i.e. 1 - 1/4 = 3/4
Probability that the second card is not a heart is 1 minus probability that it is a heart. i.e. 1 - 1/4 = 3/4
Probability that the first card is not a club AND the second card is not a heart is 3/4 x 3/4 = 9/16
First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35
next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10
now you have the equation 14/35 + 10/35
next, you add the numerators. so, 14 + 10 = 24
therefor, 2/5 + 2/7 =24/35
so your answer is 24/35
