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zlopas [31]
2 years ago
13

Rework problem 4 from section 3.2 of your text, involving sets E and F. Suppose for this problem that Pr[E]=1/12, Pr[F]=1/12, an

d Pr[E∩F′]=0/1
1) What is Pr[E|F]?
2) What is Pr[F|E]?

Mathematics
1 answer:
Korolek [52]2 years ago
3 0
The Venn Diagram that represents the problem is shown below

P(E|F) and P(F|E) are the conditional probability.

P(E|F) is given by P(E∩F) ÷ P(F) = ¹/₂ ÷ ¹/₂ = 1
P(F|E) is given by P(F∩E) ÷ P(E) = ¹/₂ ÷ ¹/₂ = 1

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The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%. Between station A and station​ B, which
saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = 8\frac{1}{2} = \frac{17}{2} = 8.5\ ft

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}

x=\frac{8.5}{270}\times 100

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

Therefore, x = 3.1 % meets the​ rapid-transit rail​ standards.

5 0
2 years ago
Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and then runs fas
yawa3891 [41]

This is late, but for anyone searching the answer up in the future, the answer on Edg.enuity is the last one -  where the graph starts out as a horizontal line, then decreases and touches the x-axis, then increases again.

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4 0
2 years ago
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Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.
Ratling [72]

Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.


Step-by-step explanation:

To perpendicular bisector of line segment AB. There are following steps:

1) Draw arcs from points A and B on the both sides of AB.

2) Name the intersection points as X and Y.

3) Use the straightedge to draw a line through points X and Y.

4) Name the point as O

hence we have construct perpendicular bisector XY of AB which bisects at O.

3 0
2 years ago
Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala
satela [25.4K]
<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

Then we can calculate Anne's salary A = \frac{P}{2}.

Also David's salary = D = 2 \times P

Average of Anne's and David's salary = \frac{A+D}{2}

Average of Anne's and David's salary  = \frac{\frac{P}{2} + 2 \times P}{2}

Average of Anne's and David's salary  = \frac{5 \times P}{4}

Average = 1.25 \times P

6 0
2 years ago
(Will Give Brainliest) What is the slope of the line? −4x + 7 = 2y − 3
alina1380 [7]

Answer: -2

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5 0
2 years ago
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