Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Positive test result.
The probability of a positive test result is composed by:
- 99% of 10%(truly pregnant).
Hence:
The probability of both a positive test result and pregnancy is:
Hence, the conditional probability is:
0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
You can learn more about conditional probability at brainly.com/question/14398287
Answer:
Decrease by 20%.
Step-by-step explanation:
We have to find the percent of increase or decrease from n to 
.
Now, 
So there is a decrease fro n to .
Now, the percentage of decrease will be given by
= ![[ \frac{\textrm {Original Value - Final Value}}{\textrm {Original Value}}]\times 100 \%](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7B%5Ctextrm%20%7BOriginal%20Value%20-%20Final%20Value%7D%7D%7B%5Ctextrm%20%7BOriginal%20Value%7D%7D%5D%5Ctimes%20100%20%5C%25)
= ![[ \frac{n - 0.8n}{n}]\times 100 \%](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7Bn%20-%200.8n%7D%7Bn%7D%5D%5Ctimes%20100%20%5C%25)
= 20% (Answer)
Answer:
Step-by-step explanation:
In the same way as you could factor trinomials on the form of
x2+bx+c
You can factor polynomials on the form of
ax2+bx+c
If a is positive then you just proceed in the same way as you did previously except now
ax2+bx+c=(x+m)(ax+n)
wherec=mn,ac=pqandb=p+q=am+n
Example
3x2−2x−8
We can see that c (-8) is negative which means that m and n does not have the same sign. We now want to find m and n and we know that the product of m and n is -8 and the sum of m and n multiplied by a (3) is b (-2) which means that we're looking for two factors of -24 whose sum is -2 and we also know that one of them is positive and of them is negative.
Factorsof−24−1,241,−24−2,122,−12−3,83,−8−4,64,−6Sumoffactors23−2310−105−52−2
This means that:
3x2−2x−8=
=3x2+(4−6)x−8=
=3x2+4x−6x−8
We can then group those terms that have a common monomial factor. The first two terms have x together and the second two -2 and then factor the two groups.
=(3x2+4x)+(−6x−8)=
=x(3x+4)−2(3x+4)
Notice that both remaining parenthesis are the same. This means that we can rewrite this using the distributive propertyit as:
=(x−2)(3x+4)=3x2−2x−8
This method is called factor by grouping.
A polynomial is said to be factored completely if the polynomial is written as a product of unfactorable polynomials with integer coefficients.
Answer:
Look for the same entry in both (all) tables.
Step-by-step explanation:
We assume here that the system of equations consists of two equations in two variables. If there are more equations in more variables, the general approach is the same.
A "solution" to a system of equations is a set of variable values that satisfies all equations of the system simultaneously. A table for one equation will generally list sets of variable values that satisfy that equation. <em>When the same set of values appears in the table for each of the equations, then that set of values is the solution</em>.
__
<u>Example</u>
The attachment shows tables for two equations:
Highlighted are the table entries that are the same for both equations. This is the solution to the system of equations. (x, y) = (3, 6) satisfies both equations:
