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Aleks [24]
3 years ago
15

There is a 50% chance that the Fed will cut interest rates tomorrow. On any given day, there is a 67% chance the DJIA will incre

ase. On days the Fed cuts interest rates, the probability the DJIA will go up is 90%. What is the probability that tomorrow the Fed will cut interest rates or the DJIA will go up?
1) 0.33

2) 0.95

3) 0.72
Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

3) 0.72

Step-by-step explanation:

The probability that tomorrow the Fed will cut interest rates (P(F)) OR the DJIA will go up (P(D)), is the sum of each event's individual probability minus their joint probability (Fed cutting interest rates AND the DJIA will going up, P(FD))

P(F+D) = P(F) +P(D) - P(FD)\\P(F+D) = 0.5 + 0.67 - (0.5*0.9)\\P(F+D) = 0.72

The probability that tomorrow the Fed will cut interest rates or the DJIA will go up is 0.72.

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www.g A bag contains 3 white counters, 10 black counters, and 4 green counters. What is the probability of drawing (a) a white c
erastovalidia [21]

Answer:

41.18% probability of drawing a white counter or a green counter

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 3+10+4 = 17 counters.

Of those, 3+4 = 7 are white or green

7/17 = 0.4118

41.18% probability of drawing a white counter or a green counter

4 0
3 years ago
working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to
allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0
3 years ago
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in
CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

3 0
3 years ago
The population of West Algebra can be modeled by the equation
AleksAgata [21]

Answer:

65.7

Step-by-step explanation:

Given the population of West Algebra can be modeled by the equation

P = 30. 1.04^T

If T is the number of years since 2000 and P is  the population in millions, in 2020, T = 2020 - 2000 = 20

Substitute T = 20 into the expression and get T

P = 30. 1.04^20

P = 30(2.1911)

P = 65.73

Hence the amount of people that will be there in 2020 is 65.7million people

6 0
3 years ago
Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan
lord [1]

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

5 0
3 years ago
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