Answer:
The correct option is (B) 0.173.
Step-by-step explanation:
The law of total probability states that:
The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:
Then the probability of intersection of A and B is:
Denote the events as follows:
<em>H</em> = a man died from causes related to heart disease.
<em>X</em> = a man had at least one parent who suffered from heart disease
The information provided is:
The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, 
.
Compute the value of as follows:
![\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173](https://tex.z-dn.net/?f=%5Cfrac%7B210%7D%7B937%7D%3D%5B%5Cfrac%7B102%7D%7B312%7D%5Ccdot%20%5Cfrac%7B312%7D%7B937%7D%5D%2B%5BP%28H%7CX%5E%7Bc%7D%29%5Ccdot%20%281-%5Cfrac%7B312%7D%7B937%7D%29%5D%5C%5C%5C%5C%5Cfrac%7B210%7D%7B937%7D-%5Cfrac%7B102%7D%7B937%7D%3D%5BP%28H%7CX%5E%7Bc%7D%29%5Ccdot%20%5Cfrac%7B625%7D%7B937%7D%5D%5C%5C%5C%5C%5Cfrac%7B108%7D%7B937%7D%3DP%28H%7CX%5E%7Bc%7D%29%5Ccdot%20%5Cfrac%7B625%7D%7B937%7D%5C%5C%5C%5CP%28H%7CX%5E%7Bc%7D%29%3D%5Cfrac%7B108%7D%7B937%7D%5Ctimes%20%5Cfrac%7B937%7D%7B625%7D%5C%5C%5C%5CP%28H%7CX%5E%7Bc%7D%29%3D0.1728%5C%5C%5C%5CP%28H%7CX%5E%7Bc%7D%29%5Capprox%200.173)
Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.
The correct option is (B).
It would be 25003 I think? im sorry if its wrong
You have to find the additive inverse of 7 which is -7 and you subtract -7 on both sides and bring down 2x and the equal sign and your answer is 2. Next, find the multiplicative inverse of 2x = 2 and divide both sides by 2 and x = 1. Hope this help
Answer:
Start giving more points
Step-by-step explanation:
plus i needed the points
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)
0=-250n^2+3,250n-9,000 after factoring out, we get
-250(n-4)(n-9) and these are your zero values.
For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1
250n^2-3,250n+9,000=0
to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)
in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4
so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this
(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A.
For Part C, since the function is a binomial so the graph is a parabola. The axis of symmetry would be x=5.
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