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4vir4ik [10]
3 years ago
10

Given a sample space, and events A and B, where P(A)= 0.5 and P(B)=0.5. Which of the following values for P(A and B) are not pos

sible?
a. All are possible
b. 0.35
c. 0.5
d. 0
e. 0.25
Mathematics
1 answer:
user100 [1]3 years ago
4 0

Option a, option b, option c, option d are not possible values for P(A ∩ B)

Solution:

Given A and B are independent events.

P(A) = 0.5 and P(B) = 0.5

To find which of the following values for P(A and B) are not possible.

P(A and B) = P(A ∩ B)

P(A ∩ B) = P(A) × P(B)

              = 0.5 × 0.5

P(A ∩ B) = 0.25

Option a: All are possible.

All answers are not possible for two independent events.

Option b: 0.35

We found that P(A and B) is 0.25.

So, 0.35 is not possible value.

Option c: 0.5

We found that P(A and B) is 0.25.

So, 0.5 is not possible value.

Option d: 0

We found that P(A and B) is 0.25.

So, 0 is not possible value.

Option e: 0.25

We found that P(A and B) is 0.25.

So, 0.25 is the possible value.

Hence, 0.35, 0.5, 0 are not possible values.

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xxTIMURxx [149]

Answer:

a) negative

b) -7/6

Step-by-step explanation:

The x value increased, but the y value decreased so the line goes down and has a negative slope

(y₁-y₂)/(x₁-x₂) is the slope where (x₁,y₁) and (x₂,y₂) are points on the line

(4-(-3))/(-1-5)=7/-6

6 0
2 years ago
Find the lateral and total surface area of the prism.
tia_tia [17]

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

Solution:

Length of the prism = 13 in

Width of the prism = 10 in

Height of the prism = 20 in

Lateral surface area of the prism = 2(l + w)h

                                                       = 2(13 + 10) × 20

                                                       = 2(23) × 20

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Lateral surface area of the prism = 920 in²

Total surface area of the prism  = Lateral area + 2lw

                                                     = 920 + 2 × 13 × 10

                                                     = 920 + 260

Total surface area of the prism  = 1180 in²

Hence Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

7 0
3 years ago
A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12
Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

4 0
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Sergeeva-Olga [200]

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

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The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

6 0
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Answer:

<em>Solution: (26,15) </em>

<em> </em>

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<em> </em>

<em>Trucks washed=15</em>

Step-by-step explanation:

3 0
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