Fedor invests $3300 in an account earning 2% interest, compounded
1 answer:
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Answer:
x=7
Step-by-step explanation:
now let’s put together the like terms
now we divide By
the result is
Answer:
(a) 0.29412 .
(b) No, the events selecting company A and incurring in cost overruns are not independent.
Step-by-step explanation:
We are given that a certain federal agency employs three consulting firms (A, B and C) with probabilities 0.4, 0.35 and 0.25 respectively i.e.;
P(A) = 0.4 P(B) = 0.35 P(C) = 0.25
Also, From past experience it is known that the probability of cost overruns for the firms are 0.05, 0.03, and 0.15, respectively which means;
Let CO = Event of cost overruns
P(CO/A) = 0.05 - It means probability of cost overruns given the consulting firm involved was A.
Similarly, P(CO/B) = 0.03 P(CO/C) = 0.15
(a) Probability that the consulting firm involved is company A given a cost overrun is experienced by the company is given by, P(A/CO);
We will use Bayes' theorem here calculating the above probability ;
P(A/CO) =
= = 0.29412 .
(b) No, the events selecting company A and incurring in cost overruns are not independent because the cost overruns happens only when the consulting firm is involved and also the cost overruns will differ as we move towards another consulting firm so the chances of cost overruns will depend on the fact that which consulting firm has been involved.
Answer:
x = 20°
Step-by-step explanation:
We know that the big angle is 90°, due to the marking on the diagram. So, we make all the angles add up to 90°. Now, we can make the x stay on one side and solve for the value.
f(x) is the same as y, so we can say y = f(x)
Writing f(x) < 0 means we want to find when y < 0.
Visually, we are looking at the graph when the curve is below the horizontal x axis.
This is the portion in red that I have marked in the diagram (see attached image below). I apologize for the numbers being blurry.
The left red portion is from negative infinity to -3. In terms of a compound inequality we write which in interval notation is
. The curved parenthesis tells the reader to exclude both endpoints.
The right red portion is from x = -1.1 to x = 0.9, excluding both endpoints. So we say which becomes the interval notation
. This is not ordered pair notation even though it looks identical to it.
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<h3>Answer in interval notation:The "U" means "set union" which glues together the two separate intervals. Basically it's saying "x is either in the interval (-infinity, -3) or it is in the interval (-1.1, 0.9)"
