14. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(B|A) =
a. 0.80. b. 0.50. c. 0.10 d. 0.40. e. none of the above.
15. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) =
a. 0.7. %3D %3D b. 0.9 c. 1.1. d. 0.2. e. none of the above.

Answers

Answer 1

Answer:

14) b)  P(B/A) = 0.50

15) P(A or B) = 0.7

Step-by-step explanation:

14)

Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2

Conditional probability of B given that A

[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]

15)

By using Addition theorem on probability

P( A ∪ B) = P(A) + P(B) - P(A∩B)

               = 0.4 +0.5 - 0.2

P( A ∪ B) =0.7


Related Questions

Marlye asked students in her school whether they prefer scary movies or comedies. She found that 35 students prefer scary movies while 65 students prefer comedies. What percent of the students questioned prefer scary movies? 30% 35% 50% 65%

2
SEE ANSWERS

Answers

Answer:

The answer is 35%

Step-by-step explanation:

If we add together 35 and 65 we get 100.  This means altogether there are 100 kids in her school.  Out of those 100 kids, 35 like scary movies.  We can write this as the fraction 35/100.  This is equivalent to 0.35 or 35%.

Answer:

35%

Step-by-step explanation:

35+65

= 100

[tex]\frac{35}{100} * 100[/tex]

= 35%

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Which number line best represents the solutions to 7 < -2x + 3?

Answers

Answer:

B or D

Step-by-step explanation:

In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.

Answers

9514 1404 393

Answer:

  5 1/2 cm

Step-by-step explanation:

The perimeter is the sum of the given lengths (in cm):

  P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)

  = (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)

  = 4 + 1 5/10

  = 5 1/2

The perimeter of the figure is 5 1/2 cm.

help me ples 20 point

Answers

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00

Answers

Answer:

B

Step-by-step explanation:

600+125+175=900-400(deposit)=500

or

600-125-175-300-200=100+400=500

Brainliest Please :)

In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80

Answers

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°

Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card

Answers

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

---------------------

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

the absolute value of 15.3 is the opposite of 15.3?​

Answers

Answer:

No. The absolute value of 15.3 is 15.3, not the opposite.

Step-by-step explanation:

Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.

what is the answer to 5/6 x 4/3

Answers

Answer: 5/6 * 4/3 = 10/9

The Decimal Would Be: 1.111111

Step-by-step explanation:

Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.

Answers

Answer:The answer is C....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Factor completely.
x3 + x2 – 25x – 25
what’s the answer

Answers

Answer:

(x+1)(x+5)(x-5)

Step-by-step explanation:

Please help fast, thanks.

Answers

I believe it is m < 5 I could be wrong sorry.

PLEASE I NEED HELP I NEED THIS TO GET MY GRADE UP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Second one

Step-by-step explanation:

Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5

Answer:

Second chart

Step-by-step explanation:

Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)

Answers

Answer:

16/24

Step-by-step explanation: Multiply the fractions....( / )

By one by one then divided them together.

Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2

Answers

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]

Not true for both equations

Hence,

Option b is the correct answer.

Rochelle is applying for two jobs at a restaurant. As a hostess, she would be paid $530
weekly. As a
server, she would be paid $310 weekly, plus tips.
Which inequality can be solved to findt , the weekly tips Rochelle has to earn in order for
the server job to
pay more than the hostess job?

Answers

Answer:

530+310+x=<310+x

Step-by-step explanation:

you need to find out x by doing 530+310 then divide 530+310 by 10

I need help please help me

Answers

Answer:

You're right- I'm pretty sure it's C.

Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he make

Answers

Answer:

10

Step-by-step explanation:

divide the numbers for a anser

The equation of the line that has a slope of 3 and passes through the point (2, 1) is y = 3x - 5.
True
ОО
False

Answers

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adults and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.

Answers

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT



A triangular flag has 2 sides with lengths 2 x and 1 side with length x.

A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.

What is the base of the largest triangular flag Sara can make?

cm.

Answers

Step-by-step explanation:

Perimeter = x + 2x + 2x = 5x

Since 5x <= 46.8cm, x <= 9.36cm.

The largest base is 9.36cm.

Answer:

9.36 is correct

Step-by-step explanation:

[IMAGE] please help me with 1, 2, and 3

Answers

Answer:

1. 5n + 10d = 90

2. (18,0)

3. (0,9)

✨help✨

Madonna loves records. She has 338 of them. Her grand father gives her some for her birthday. She ends up with 456 after her birthday. At what percent did her grandfather give her. (I know it's a funky question. You have to divide the amount and then round it to the nearest hundred)

Answers

Answer:

34.9%

Step-by-step explanation:

Ok, we need to express this number as a percent of increase. So, what we'll do is write this as a proportion.

456/338 = x/100

456 x 100 = 338x

45600 = 338x

x = 134.911242604

A 34.9% increase

Answer:

17.53%

Step-by-step explanation:

Initial number = 388Final number = 456

Increase in number:

456 - 388 = 68

Increase in percent:

68/388*100% = 17.53% rounded to the nearest hundreds

50+50+90+90=its a total of=

Answers

Answer:

280

Step-by-step explanation:

50+50=100 plus 90+90= 180 so 180+100=280

Your velocity is 13 feet per second. Are you moving up or down

Answers

Answer:up

Step-by-step explanation:...

Answer:

U are moving up

Step-by-step explanation:

Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer

For a car that gets 21 miles per gallon, how far can it travel on 2/3 gallons?

Answers

Multiply miles per gallon by gallons:

21 x 2/3 = (21x2)/3 = 42/3 = 14

It can travel 14 miles.

can u pls help me with this question ​

Answers

D. because 9:45 and 12:60 because if you divide y by x it’s 5, while 3:12 and 6:24 are 4

A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?

Answers

Is that the right question?

Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.

Answers

Answer:

Bert is 11 years old and Max is 17 years old.

Step-by-step explanation:

System of Equations

To solve the system of equations, we use two variables x and y. Let's make:

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:

x - 5 = 2(y - 5)        [1]

It's also known a year from now, the sum of their ages would be 30:

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

(2y - 5) + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3 = 11

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5 = 17

x = 17

Max is 17 years old and Bert is 11 years old

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