Complete the equation of the line whose yyy-intercept is (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis and slope is
2 answers:
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Answer:
a. 61.5%; b. About 61.8%; c. About 36.4%
Step-by-step explanation:
This is a kind of question that we can solve using the Bayes' Theorem. We have here all the different conditional probabilities we need to solve this problem.
According to that theorem, the probability of a selected product attains a good review is:
(1)
In words, the probability that a selected product attains a <em>good review</em> is an <em>event </em>that depends upon the sum of the conditional probabilities that the product comes from <em>high successful product</em> P(G|H) by the probability that this product is a <em>highly successful product</em> P(H), plus the same about the rest of the probabilities, that is, P(G|M)*P(M) or the probability that the product has a good review coming from a <em>moderately successful</em> product by the probability of being moderately successful, and a good review coming from a poor successful product by the probability of being poor successful or P(G|P)*P(P).
<h3>The probability that a randomly selected product attains a good review</h3>In this way, the probability that a randomly selected product attains a good review is the result of the formula (1). Where (from the question):
P(G|H) = 95% or 0.95 (probability of receiving a good review being a highly successful product)
P(G|M) = 60% or 0.60 (probability of receiving a good review being a moderately successful product)
P(G|P) = 10% or 0.10 (probability of receiving a good review being a poorly successful product)
P(H) = 40% or 0.40 (probability of being a highly successful product).
P(M) = 35% or 0.35 (probability of being a moderately successful product).
P(P) = 25% or 0.25 (probability of being a poor successful product).
Then,
That is, <em>the probability that a randomly selected product attains a good review</em> is 61.5%.
<h3>The probability that a new product attains a good review is a highly successful product</h3>We are looking here for P(H|G). We can express this probability mathematically as follows (another conditional probability):
We can notice that the probability represents a fraction from the probability P(G) already calculated. Then,
Then, the probability of a product that attains a good review is indeed a highly successful product is about 0.618 or 61.8%.
<h3>The probability that a product that <em>does not attain </em>a good review is a moderately successful product</h3>The probability that a product does not attain a good review is given by a similar formula than (1). However, this probability is the complement of P(G). Mathematically:
P(NG|H) = 1 - P(G|H) = 1 - 0.95 = 0.05
P(NG|M) = 1 - P(G|M) = 1 - 0.60 = 0.40
P(NG|P) = 1 - P(G|M) = 1 - 0.10 = 0.90
So
Which is equal to
P(NG) = 1 - P(G) = 1 - 0.615 = 0.385
Well, having all this information at hand:
Then, the <em>probability that a new product does not attain a good review and it is a moderately successful product is about </em>0.364 or 36.4%.
Inequation 1:
to plot the pairs (x, y) for which the inequation holds, draw the line
then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.
we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.
inequation 2:
draw the lines
i) use points (0, -3), (3, -1)
ii)
use points ( 0, 4), (3, 2)
let's use the point P(3, 3) to see what region of the lines need to be coloured:
;
, not true so we color the region not containing this point
not true, so we color the region not containing the point (3, 3)
The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.
to plot the pairs (x, y) for which the inequation holds, draw the line
then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.
we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.
inequation 2:
draw the lines
i)
ii)
let's use the point P(3, 3) to see what region of the lines need to be coloured:
The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.
<u><em>a=1/100pt is the correct answer.</em></u> First you had to multiply by t from both sides of equation, and it gave us, ⇒ . And then you had to flip an equation, and it gave us, ⇒
. You can also divide by one-hundred (100) from both sides of equation, and it gave us,
. And finally, and it gave us the answer is a=1/100pt is the final answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie