Answer:
The probability that my sister's business will still open at the end of the first year is 0.541.
Step-by-step explanation:
The events are denoted as:
<em>A</em> = A new small business closes before the end of its first year.
<em>B</em> = New business started by a woman.
It is provided that:
P (A) = 0.42
P (B) = 0.37
P (A ∪ B) = 0.62
The probability that my sister's business will still open at the end of the first year is expressed as
.
The value of
.
Compute the value of P (A ∩ B) as follows:
![P(A\cap B)=P(A) + P(B) - P(A\cup B)=0.42+0.37-0.62=0.17](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28A%29%20%2B%20P%28B%29%20-%20P%28A%5Ccup%20B%29%3D0.42%2B0.37-0.62%3D0.17)
The value of
is:
![P(\bar A\cap B)=P(B)-P(A\cap B)=0.37-0.17=0.20](https://tex.z-dn.net/?f=P%28%5Cbar%20A%5Ccap%20B%29%3DP%28B%29-P%28A%5Ccap%20B%29%3D0.37-0.17%3D0.20)
Compute the value of
as follows:
![P(\bar A|B)=\frac{P(\bar A\cap B)}{P(B)}=\frac{0.20}{0.37}=0.54054\approx0.541](https://tex.z-dn.net/?f=P%28%5Cbar%20A%7CB%29%3D%5Cfrac%7BP%28%5Cbar%20A%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%5Cfrac%7B0.20%7D%7B0.37%7D%3D0.54054%5Capprox0.541)
Thus, the probability that my sister's business will still open at the end of the first year is 0.541.
Answer:
Step-by-step explanation:
<u>Given:</u>
- f(x) = x-2 and g(x) = 5x+3
<u>Find g(-4) first:</u>
- g(-4) = 5(-4) + 3 = -20 + 3 = -17
<u>Now find f(-17):</u>
The better buy is $4.40 because it costs only 22 cents per ounce while $3.68 costs 23 cents per ounce
No,
Step-by-step explanation:
because since each point has a 0 on it. That means the point would lie on a line of a graph. Meaning, it would be in between quadrants, but not in one.
Answer:
The graph is not shown, so I will answer the question in general terms.
The factor of the polynomial has the form x - x1, where x1 is a root of the polynomial. This means that at x1, f(x) = 0. Then, to answer your particular question, you need to see at which value of x, the function intercepts the x-axis, and that is your x1.