Events A and B are dependent. Find the missing probability.

P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???

Answers

Answer 1

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]

Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]

[tex]P(B\cap A)=0.2*0.6=0.12[/tex]

P(A and B) = 0.12


Related Questions

Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

(B) is the right answer

Identify whether the given value is a statistic or parameter:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

Answers

Answer:

The value is a statistic, since it is from a sample.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

In this question:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

The value is from a sample, so it is a statistic.

A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?​

Answers

Answer:

The measurement of the width is 10cm.

Please solve thank you if so

Answers

Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

It’s 30 because multiply

The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140

Answers

The answer is $110

Explanation: .40*200=80 80+30=110

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

If y=1.8x, then k is equal to...
Is there no solution?

Answers

Answer:

There no solution, because there have no k in this equation.

yoooo i need help lmk the answers​

Answers

well the answer is 6 soo
The answer to your question is 6

7(5a − 4) = 14 − 8a + 1

Answers

Answer:

a = 1

Step-by-step explanation:

7(5a − 4) = 14 − 8a + 1

Distributive property ( multiply what is inside the parenthesis by 7)

7 * 5a - 7 * 4 = 14 - 8a + 1

35a - 28 = 14 - 8a + 1

Combine like terms

35a - 28 = 15 - 8a

Add 8a on both sides

35a + 8a - 28 = 15 - 8a + 8a

43a - 28 = 15

Add 28 on both sides

43a - 28 + 28 = 15 + 28

43a = 43

Divide by 43 on both sides to isolate the variable

43a/43 = 43/43

a = 1

Check

7(5a − 4) = 14 − 8a + 1

Just substitute the "a" with "1"

7(5 * 1 − 4) = 14 − 8 * 1 + 1

35 - 28 = 14 - 8 + 1

7 = 7 CORRECT

Hope this helped!

have a supercalifragilisticexpialidocious day!

The awnser would be a=1

Marking brainliest


Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?​

Answers

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

2. Karen has 445 stickers in her collection. There are 221 animal stickers and 174 cartoon stickers. She also has some flower stickers. How many flower stickers does she have?​

Answers

Answer:

c

Step-by-step explanation:

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Can someone please help me

Answers

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

A company's international marketing group asked the following question to residents of 50 countries: "What has been your experience with American products?" 1) Below Average 2) Average 3) Above Average 4) Good to Excellent

Answers

Answer:

4) Good to Excellent

19 ≥ 3f+1 ≥5 pls help

Answers

Answer:

Hi...u should do like this

18>3f>4

6>f>4/3

Rewrite the following equation as a function of x
1/16x + 1/320y - 29 = 0
A. F(x) = -9280 + 1/16x
B. F(x) = 9280 - 20x
C. F(x) = -9280 + 20x
D. F(x) = 9280 - 1/16x

Answers

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

What is a function?

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/9046022.

#SPJ2

A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit

Answers

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.

Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.

Answers

I think it is going to be number 4

Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive

Answers

Answer:

hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)

Its 17 if i id math correctly! sorry bout the other person have a great day

Step-by-step explanation:

HELP!!! WILL GIVE BRAINLIEST!!!

If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.

Answers

Answer:

answer: The formula is

(Y2-y1) /(x2-x1)

(3-1)/(5-2)

2/3

Step-by-step explanation:

Have a good day;-)

A family buys 5 airline tickets. They also buy travel insurance that is an additional $17 per ticket ($85). The total cost for the 5 tickets plus the insurance is $1,495. Let x represent the price of one ticket. Write and equation to represent the situation. *

Answers

Answer:

The first answer is 5(x+17)=1,495

The second one is $282

Hope this helps

A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%

B.
8%

C.
15%

D.
18%

Answers

The answer is D. 18%

Good afternoon guys! Can anyone help me with this?

Answers

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.

Answers

Answer:

c(h)=12h+6

because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis

Triangle TSR is similar to Triangle TNM
Which statement below is true?

Answers

Answer:

[tex]\overline{SR}\sim \overline{NM}[/tex]

Step-by-step explanation:

In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.

Need as soon as possible

Answers

Answer:  136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

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

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x

Answers

Answer:

A

Step-by-step explanation:

1

1 " a number x" →x.

2

2 "less than a number x" means to subtract →x−

3

3 "8 less than a number x" means to subtract →x−8.

For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset

Answers

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

Answer:

10

Step-by-step explanation:

im on enginuity leson multiplying with intager tiles qestion 4

Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?

Answers

four hundred fifty five
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