Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
P(AB)?
A. 0.6
B. 0.5
C. 0.3
D. 0.1

Answers

Answer 1

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

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Related Questions

round each decimal to the nearest tenth then select the best estimate for the subtraction equation 1.79-0.67 =____
A.1
B.1.1
C.1.2
D1.3

Answers

the answer is B. 1.1
1.79-0.67= 1.12
1.12 = 1.1

Answer: B 1.1

Step-by-step explanation: if you round 1.79 you get 1.8 if you round 0.67 you get 1.7 then you subtract them and you get 1.1

Brainlest plz

PART 1: Sam brings x burgers to the BBQ. his friends Mike brings 5 more than 2 times as many burgers as Sam did. together they brought 50 burgers. please write an equation to represent this situationPART 2: solve the equation you created in part 1 for xPART 3: how many burgers did Mike to the BBQ

Answers

The number of burger sam bought = x

Let the number of burgers for mike be = y

the equation for the total number of burgers will be

\(x+y=50\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(\text{eqn 1)}\)

Mike brought 5 more than 2 times as many burgers as sam will be represented as

\(y=2x+5\ldots\ldots\ldots\ldots\ldots\ldots\ldots..(Eqn\text{ 2)}\)

By substituting Eqn 2 in Eqn 1 we will have

\(\begin{gathered} x+y=50 \\ x+2x+5=50 \\ 3x+5=50 \\ 3x=50-5 \\ 3x=45 \\ \frac{3x}{3}=\frac{45}{3} \\ x=15 \end{gathered}\)

Therefore,

The value of x= 15

To calculate the number of burgers mike brought to the BBQ =y,

We will substitute the value of x in (Eqn 1) above

\(undefined\)

help this is literally due today

help this is literally due today

Answers

If the diameter of the pool is 24ft, the area is 452.16 ft²

How to find the area of the pool?

Here we have a circular pool and we want to find its area.

Remember that the area of a circle of radius R is given by:

A = pi*R²

Where pi = 3.14

Here we want to define the diameter as a value between 12 and 24 ft, so I will use 24 ft.

The radius is half of that, then we have:

R = 24ft/2 = 12ft

Then the area of the pool is:

A = 3.14*(12 ft)² = 452.16 ft²

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____________ is an economic and political doctrine that emphasized free trade and the constitutional guarantee of individual rights such as freedom of speech and religion.

Answers

The economic and political doctrine that emphasizes free trade and the constitutional guarantee of individual rights, such as freedom of speech and religion, is called liberalism.

Liberalism is a political and economic ideology that promotes individual freedom, limited government intervention, and free market principles. It emphasizes the importance of protecting individual rights, including civil liberties such as freedom of speech, religion, and assembly. Liberalism advocates for a system of governance that ensures equality under the law and encourages free trade and open markets. Economic liberalism promotes free trade and opposes government restrictions or regulations on business and commerce. It supports the idea of a market economy where prices are determined by supply and demand and individuals have the freedom to engage in economic activities. In the context of politics, liberalism advocates for democratic principles, constitutionalism, and the protection of individual rights as essential components of a just and prosperous society.

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what is equivialent to 8\11

Answers

16/22, 24/33, and 40/55

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

To find a segment parallel to another segment and through a given point, fold
a piece of paper so that the fold goes through the point and the pieces of the
segment on either side of the fold match up.
• À. True
• B. False

Answers

Finding a line segment parallel to another segment and passing through a given point is true.

What is line segment?

A line segment is a finite portion of a line that is bounded by two distinct points.

According to question:

The statement is asking whether the following method is true or false for finding a line segment parallel to another segment and passing through a given point:

Take a piece of paper.Fold the paper so that the fold line goes through the given point.Place the original segment on the paper so that one end of the segment is on one side of the fold and the other end is on the other side of the fold.Trace the segment onto the paper on both sides of the fold.Remove the original segment and connect the two traced segments with a straight line.

This method is called the "fold-and-copy" method, and it is a valid way to construct a segment parallel to another segment and passing through a given point. The reason this works is because when the paper is folded along the given point, the fold line is perpendicular to the original segment. When the segment is copied onto the paper on both sides of the fold, the resulting segments are also perpendicular to the fold line. Since two lines that are both perpendicular to the same line are parallel, the resulting segment is parallel to the original segment. The resulting segment also passes through the given point, since it was copied from the original segment which passes through the given point. Therefore, the statement is true.

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Solve for x
19/10 = x/12

Answers

Answer:

x=19

Step-by-step explanation:

19/12=x/12

19*12=x*12

228=12x

228/12=x

19=x

What type of number is -4/2

Answers

Answer:

It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.

Step-by-step explanation:

Combine like Terms and Distributive Property

Combine like Terms and Distributive Property

Answers

Answer:

The distributive property is MULTIPLICATION over ADDITION, or MULTIPLICATION over SUBTRACTION.

Step-by-step explanation:

Define vector product of two vectors. Interpret it geometically.​

Answers

Answer:

the vector product or cross product is an operation between two vectors that result in a third vector perpendicular to the original two. geometrically, it represents the area of the parallelogram formed by the two input vectors

n is a positive integer
explain why n(n-1) must be an even number

Answers

Answer:

if 'n' is positive and odd then reducing it by one gives you an even; so then you are multiplying and even and an odd which results in an even

if 'n' is positive and even then reducing it by one gives you an odd; so then you are multiplying and even and an odd which results in an even

Step-by-step explanation:

A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?

Question 4 options:

1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.

A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove
A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove

Answers

Answer:

2.

Step-by-step explanation:

There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.

4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?

Answers

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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If f(3) = 6, which of the following functions would be correct?

If f(3) = 6, which of the following functions would be correct?

Answers

Answer:D f(x)=4x-6

Step-by-step explanation:

if you put 3 into the equation 4(3)-6. you should get 6.

4(3)-6

12-6

6

Answer:

Step-by-step explanation:

a. f(x)=8x+2

8(3)+2=26, 26≠6

b. f(x)=3x-2

3(3)-2=7, 7≠6

c. f(x)=-2x+1

-2(3)+1=-5, -5≠6

d. f(x)=4x-6

4(3)-6=6, 6=6

If the signs are _______, then ______ and take the sign of the number with the greatest absolute value

If the signs are _______, then ______ and take the sign of the number with the greatest absolute value

Answers

Answer: different and subtract go in the empty spaces

A half dozen cupcakes cost $15 what constant of proportionality relates the number of cupcakes and total cost.

Answers

Answer:

k = 2.5

Step-by-step explanation:

The constant of proportionality k is the unit cost

k = $15 ÷ 6 = 2.5

if you 3.50$ and you need to buy buttons, the buttons cost .85cents how many buttons can you buy? HURRY ITS DUE IN 30!

Answers

Answer:

4 buttons

Step-by-step explanation:

first divide 3.5 by 0.85 and you will be able to buy at most 4 buttons, as you can't include a decimal of a button

Answer:

4

Step-by-step explanation:

1.75-m-long wire having a mass of 0.100 kg is fixed at both ends. the tension in the wire is maintained at 21.0 n. (a) what are the frequencies of the first three allowed modes of vibration?

Answers

The frequencies of the first three allowed modes of vibration are 4.14 Hz, 8.29 Hz, and 12.43 Hz, respectively.

The given problem can be solved using the formula given below; f_n = (n*v)/(2L), where; f_n - frequency v - velocity of the wave L - length of the wire, n - mode number.

Part a: Given; Length of the wire, L = 1.75 m, Mass of the wire, m = 0.100 kg. Tension in the wire, T = 21.0 N`.

To find the frequency of the wire for the first three allowed modes of vibration, we need to calculate the velocity of the wave, v.

We can use the following formula to calculate the velocity of the wave; v = √(T/m), where; T - tension in the wire, m - mass of the wire.

Substituting the given values, v = √(21.0 N / 0.100 kg) = √(210) = 14.5 m/s.

The frequencies of the first three allowed modes of vibration can be found by substituting the values in the given formula.

For n = 1, `f_1 = (1*14.5)/(2*1.75) = 4.14 Hz.

For n = 2,`f_2 = (2*14.5)/(2*1.75) = 8.29 Hz

For n = 3,`f_3 = (3*14.5)/(2*1.75) = 12.43 Hz.

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a set of 1000 cards numbered 1 through 1000 is randomly distributed among 1000 peoplewith each receiving one card. compute the expected sum of the numbers on cards that are given topeople whose number matches the number on the card.

Answers

The probability shows that the expected number of cards given to people whose age matches the number on the card is 1.

How to compute the expected value?

From the information, a set of 1000 cards, numbered 1 through 1000, are distributed among 1000 people.

Let x be the random variable that's equal to the number of people who get a card.

Since we are looking for the expected value, this will be:

= E(X1 + X2 + .... X1000)

= 1

classify the following graph as a cross-sectional study or a time-series study.

Answers

The terms "cross-sectional study" and "time-series study" refer to different types of research designs. A cross-sectional study collects data from a population at a specific point in time, whereas a time-series study collects data from the same population over an extended period.

Based on this definition, it is difficult to classify a graph as either a cross-sectional or time-series study without additional context.

A graph alone does not provide enough information about the research design. It would be best to refer to the accompanying study or research report to determine the type of study represented by the graph.
Therefore, the long answer to your question is that a graph cannot be classified as a cross-sectional or time-series study without further information about the research design.

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The radius of a cylindrical construction pipe is 3.5 ft. If the pipe is 37 ft long, what is its volume?

Answers

Answer:

10651.7 gallons

Step-by-step explanation:

The table shows the total number of text messages that Ashley sent over 4 days. Write an equation to find the total number of messages sent in any number of days. Use the equation to find how many text messages Ashley would send in 30 days.

The table shows the total number of text messages that Ashley sent over 4 days. Write an equation to

Answers

Answer:

1d=25m

30d=?

cross mutiply

30×25=750messages

Answer:

The equation is m = 25d

Ashley would send 750 text messages after 30 days.

Step-by-step explanation:

The equation is y = mx + b

We see that each day the number of text increase by 25, so our equation is

m = 25d

Now we ask how many text messages Ashley would send in 30 days. We need to put 30 in for d and solve it.

m = 25(30)

m = 750 text messages

So, Ashley would send 750 text messages in 30 days.

If the m<5 = 63 degrees, find the measure of <3

Answers

Answer: 117?

Step-by-step explanation:

Jalen earns `\$33` for babysitting `4` hours. At this rate, how much will he earn if he babysits for `7` hours?.

Answers

Answer:

Step-by-step explanation:

If 33/4 is 8.25 dollars, that means in 7 hours he will make on average 57.75 dollars if 8.25 times 7 is 57.75.

The ages of the members of a volunteer group are shown below.
13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23
Which box and whisker plot best represents these data?

Answers

Step-by-step explanation:

here it is. ...............

The ages of the members of a volunteer group are shown below. 13, 14, 14, 14, 15, 15, 15, 16, 16, 21,

Describe the end behavior of the function

Describe the end behavior of the function

Answers

The following option describes the function's final behaviour: f(x) -> 0 when  x -> -∞ and f(x) -> -∞ when x -> ∞

How can one get a function's final behaviour?

The bounds of a function as x approaches infinity define its final behaviour.

When examining the behaviour at the left and right ends of the graph, these limitations can be found as follows:

Right end: x to -∞.

End on the right: x ->∞.

These bounds can be deduced from the graph as follows:

As the function goes to the origin, the left end is as follows: x -> -∞ -> 0.

Right end, as the function descends: x -> ∞-> negative infinity.

As a result, the third choice provides the right statement while the other two provide incorrect limits.

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Please help solving the attached image!

Please help solving the attached image!

Answers

Answer:

6,780.00 is right answer try it

tell whether the orthocenter is inside, on, or outside the triangle. then find the coordinates of the orthocenter. x(-3,2)

Answers

Therefore , the solution of the given problem of triangle comes out to be

Orthocentre (0, - 5 ).

How do triangles function?

Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides end to end at a single point. The triangle has three angles, and the sum of them is 180 degrees.

Here,

We need the lengths of the triangle's three sides in order to identify which of the aforementioned cases the triangle fits into.

Make the length calculations using the distance formula.

d = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\)

L(0, 5) and M(3, 1)

LM =d = \(\sqrt{(3-0)^{2}+(1-5)^{2}}\)  = 5

L(0, 5) and (N(8, 1)

LN = d = \(\sqrt{(8-0)^{2}+(1-5)^{2}}\)   = √80

M(3, 1) and (N(8, 1)

MN = \(\sqrt{(8-3)^{2}+(1-1)^{2}}\)  = 5

If a triangle has three sides, a, b, and c, and side c is the longest, then

• Right triangle formed by a2 + b2 = c2

• a2 + b2 c2 - acute triangle

Triangle with angles a2, b2, and c.

A, B, and C are equal to five in this instance.

a² + b² = 5² + 5² = 25 + 25 = 50

c² = (4 )² = 80

A triangle is obtuse and the orthocentre lies outside the triangle because a2 + b2 c2.

The place where the triangle's three altitudes converge is known as the orthocentre.

For the orthocentre's coordinates, we only need to simultaneously solve

the equations for two of the altitudes.

A line drawn at a right angle from a vertex to the other side is known as an altitude.

Altitude from M to LN

Calculate the slope of LN using the slope formula

m =  (y2 - y1 )/ (x2- x1 ) = 1-5/8-0   ⇒  = 2

Equation of altitude

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1)

Altitude between M and LN

Utilize the slope formula to determine LN's slope.

m = (y2 - y1)/ (x2- x1) = 1-5/8-0 ⇒ = 2

formula for altitude

y - 1 = 2(x - 3) (x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1) (1)

Altitude between N and LM

m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4

formula for altitude

y - 1 = (x - 8) (x - 8)

y - 1 = x - 6

y = x - 5 → (2) (2)

Adding (1) to (2)

2x - 5 Equals x - 5 ( multiply through by 4 ) ( multiply through by 4 )

8x - 20 = 3x - 20

5x - 20 = - 20 ( add 20 on both sides ) ( add 20 to both sides )

5x = 0 ⇒ x = 0

Place x = 0 in place of (1)

y = 0 - 5 = - 5

It is the orthocentre (0, - 5 )

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Tywaun wants to know how much candy his container can hold. The
container is 20 centimetres tall, 10 centimetres long and 10 centimetres
wide. What is the container's volume?

Answers

Answer:

100 pieces maybe?

Step-by-step explanation:

80 divided by 192.0!!!!!!!!!!!!!!!

Answers

80/192.0 = 0.416666666666667

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

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