What is the product?

A financial firm created a scatter plot for the daily stock returns of Social Media Works. Which scatter plot and trend line are

SashulF [63]

Answer:

The answer is A (line angled down)

5 0

3 years ago

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15. From past experienc

dybincka [34]

Answer:

68.11% probability that the firm involved is firm B

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Cost overrun

Event B: Agency B used.

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.

This means that $P(B) = 0.45$

From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.

This means that $P(A|B) = 0.14$

Probability of cost overrun.

Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.

So

$P(A) = 0.4*0.01 + 0.45*0.14 + 0.15*0.17 = 0.0925$

What is the probability that the firm involved is firm B

$P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811$

68.11% probability that the firm involved is firm B

6 0

3 years ago

Games at the carnival cost $3 each. The prizes awarded to winners cost $150. How many games must be played to make at

natima [27]

Answer:

219 games.

Step-by-step explanation:

Given the following data;

Cost of each game = $3

Cost of award = $150

Let x = number of games played.

Translating the word problem into an algebraic equation, we have;

$3x - 150 \geq $507$

Rearranging the equation, we have;

$3x \geq 507 + 150$

$3x \geq 657$

Dividing both sides by 3, we have;

$x \geq \frac{657}{3}$

$x \geq 219$

Therefore, the number of games to be played in order to make $507 is at least 219 games.

6 0

3 years ago

The sides of a triangle have lengths 5, 8, and 9. What kind of triangle is it?

Eva8 [605]

Maybe a right triangle???

5 0

3 years ago

Read 2 more answers

Use the method of Gauss to find the sum.1+2+3+.....+400

nikklg [1K]

Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.

6 0

3 years ago