1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
13

Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the c

ompanies that increased their share price by more than 5% in the last three years replaced their CEOs during the period. At the same time, only 35% of the companies that did not increase their share price by more than 5% in the same period replaced their CEOs. Knowing that the probability that the stock prices grow by more than 5% is 4%, find the probability that the shares of a company that fires its CEO will increase by more than 5%.
Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

So

P(A) = 0.35*0.96 + 0.6*0.04 = 0.36

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

P(A \cap B) = 0.6*0.04 = 0.024

Probability that the shares of a company that fires its CEO will increase by more than 5%.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

You might be interested in
Help please! This is hard
Nutka1998 [239]

Answer: 200°C + 273.15 = 473.15K

               300K − 273.15 = 26.85°C

I hope this helps bye

7 0
3 years ago
What is the y-intercept -x 3y=9?
dedylja [7]
(0, 3)

<span>-x + 3y=9
to figure out the y-intercept, you must put the equation into y-intercept form first: y = mx + b

</span><span>-x+3y=9
3y = x + 9
y = (x/3) + (9/3)
y = x/3 + 3 
</span>
7 0
2 years ago
PLEASE HELP<br><br>divide. (3x-2)(x-4)-(x-4)(6-5x)<br>/(4-x)(8x-1)​
8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer:  x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

7 0
3 years ago
To shop a package, a company charges a one-time fee plus a fee based on the weight of the package. The table below shows the tot
fiasKO [112]

Answer:

C = $5 + $1.5(w)

Step-by-step explanation:

Given the following information :

Total shipping cost :

One time fee + fee based on package weight

Given the table :

Weight in pounds - - - - Total shipping cost($)

___4__________________11

___8__________________17

___12_________________23

___16_________________29

We can deduce from the table

For a package that weighs (w) 4 pounds

Total shipping cost = $11

Let one time fee = f

Fee based on weight = r

f + 4(r) = 11 - - - - - (1)

For a package that weighs (w) 8 pounds

Total shipping cost = $17

One time fee = f

Fee based on weight = r

f + 8r = 17 - - - - - (2)

From (1)

f = 11 - 4r - - - (3)

Substitute f = 11 - 4r in (2)

11 - 4r + 8r = 17

-4r + 8r = 17 - 11

4r = 6

r = 6/4

r = 1.5

Put r = 1.5 in (3)

f = 11 - 4(1.5)

f = 11 - 6

f = 5

Hence one time fee = $5

Charge based on weight = $1.5

Hence, Total shipping cost 'C' for a package weighing 'w' will be :

C = $5 + $1.5(w)

7 0
2 years ago
A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.
Rom4ik [11]
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)

k defines some vertical stretch, so there are an infinitely many solutions for f(x).
8 0
3 years ago
Other questions:
  • what are the coordinates of the point (-10, -3) after a 180 degree clockwise rotation about the origin?
    15·2 answers
  • Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many
    12·2 answers
  • A 2-pound box of spaghetti costs $2.50. Philip says that the unit cost is 2 over 250 = $0.80 per pound. Explain his error
    6·1 answer
  • Tanθcscθcosθ=1 Trig Identities
    5·1 answer
  • Help please &lt;3 (easy)
    5·1 answer
  • Someone please tell me what (A) and (X) are and how xxx
    11·1 answer
  • C.3<br> D. 4 or more <br> Geometry math question no Guessing
    11·1 answer
  • under which of the following operations are the polynomials 8a 14 and 3b - 9 not closed? a. subtraction b. multiplication c. add
    12·1 answer
  • I have a 15ft x 36in (4.57m x 91 cm) pool and the mats i wanna buy are 20.5-in x 20.5-in. How many mats would i need to put unde
    5·1 answer
  • When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square in
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!