A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
Find the probability that Ariel is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Ariel is older than Bob.
Find the probability that Ariel is older than Diana, if it is given that Chris is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Diana is older than Bob.

Answers

Answer 1

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

Answer 2

Answer:

jesus

Step-by-step explanation:


Related Questions

A customer states that she was shorted in change by receiving only 23 cents change from $3.00
dollars instead of 32 cents. How would you handle this?

Answers

Answer:

First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.

(P.S: sorry if it was a little confusing lol)

What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9

Answers

Answer:.1.77

Step-by-step explanation:

e^x = 5.9

Take the natural logarithm of both sides

x = ln (59/10)

x = 1.77

Answer: x=1.77

Step-by-step explanation:

A P E X

In the diagram, which two angles are alternate interior angles with angle 14?

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15

Answers

Answer:

Angle 4 and Angle 12

Step-by-step explanation:

Angles 4 and angles 12 are alternate interior angles with 14.

Angle 4 is alternate interior with angle 14, and angle 12 is alternate interior with angle 14.

The person that answered above me is wrong. But there is some truth to his answer, because angle 3 is alternate interior with angle 9, but they are NOT alternate interior WITH angle 14.

That is why many people answering this question fail. The question says:

In the diagram, which two angle ARE alternate interior angles WITH angle 14?

To finally answer the question completely, angles 4 and 12 ARE alternate interior angles WITH angle 14.

Therefore the guy above me is 100% wrong.

Hence, the right option is (A).

The taco truck sells tacos for and burritos for . The number of items sold on a Tuesday is with a total income of . How many tacos were sold?

Answers

Answer:

You didnt say the price otherwise how am i suppose to give you the answer

Step-by-step explanation:

Find the are. Will mark brainliest.

Answers

Answer:

4.44

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2.2.4 x 3.7 = 8.88next i divide by 28.88 / 2 = 4.44so my answer is 4.44

Hope this helpsask questions if it is wrongBrainliest plz

Below is the graph of a trigonometric function. It has a minimum point at (- 10.4, - 9.8) and a maximum point at (- 3.6, - 1.2) . What is the period of the function?

Answers

Answer:

13.6

Step-by-step explanation:

The period is double of the distance (on the x-axis) between the maximum and the minimum. In this case, the x-coordinate of the minimum is -10.4, the x-coordinate of the maximum is -3.6, the distance is -3.6 - (-10.4) = 6.8, and the period is 2*6.8 = 13.6

Answer:

Step-by-step explanation:

4.3 unit from by khan academy

−8⋅f(0)+4⋅g(−8)=
Please help

Answers

Answer:

-32

Step-by-step explanation:

Look at the attachment

Functions can be represented as equations and graphs.

The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32

From the graph, we have the following values.

[tex]\mathbf{f(0)= 1}[/tex]

[tex]\mathbf{g(-8)= -6}[/tex]

So, we have:

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]

Simplify

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]

Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32

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What is the value of x?
ASAP

Answers

The value of x is 30
The correct answer is 30
Explanation: so what you do is do 45 divided by 37 and you’ll get 1.66667 and so on. Then you do 1.66667 • 18 and you get 30.

Which function can be used to find the number of ounces of coffee in the can based on its radius?

Answers

Answer:

A

Step-by-step explanation:

The answer is A I hope it helped!

What percent is modeled by the grid?
A grid model with 100 squares. 33 squares are shaded.
23%
30%
33%
40%

Answers

Answer:

33%

Step-by-step explanation:

There are 33 squares out of 100 that are shaded

33/100

Percent means out of 100

33%

Answer: 33%

Explanation: A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.

y=6x+15 what is y, when x=5

Answers

Answer:

Answer:45

6 x 5+15=45

Step-by-step explanation:

Hope this helped!

Answer:

Look at explanation

Step-by-step explanation:

First, plug in x=5 into the equation y=6x+15 for x.

[tex]y=6(5)+15[/tex]

Solve.

[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]

help me asap right answer gets most brainlyest

Answers

Answer: The answer is 1/4th :)

You add all the variables together then add B & C ... well your answer is 1/4

What is the radius of J. A. 24.8
B. 6.2
C. 10.8
D. 12.4

Answers

Answer:

12.4 units

Step-by-step explanation:

The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.

The radius of the given circle is 6.2 unit. So option B is correct.

What  is the radius?

A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.

Given that,

A circle,

which contains diameter KN of length 12.4 unit

and chord 10.8 unit.

The radius = ?

It is known that, the length of the radius is half of the diameter of the circle,

R = D/2

  = 12.4/2

  =  6.2

Therefore, the length of the radius is 6.2 unit.

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PLEASE HELP NOW!! BRAINLIEST

Point P(-3,-4) is rotated 270° clockwise about the origin.
What are the coordinates of its image after this transformation?

Answers

Answer:

(4,-3)

Step-by-step explanation:

If you graph this point, then it will be in the 3rd quadrant.

A 180 degree rotation will put it in the 1st quadrant.

And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).

The coordinates of the given image after this transformation will be (4,-3).

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given that, Point P(-3,-4) is rotated 270° clockwise about the origin.

When graph this point, then it will be in the 3rd quadrant.

A 180° rotation will put it in the 1st quadrant.

And the extra 90° will put in the 4th quadrant, so we know that in (x, y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90°, 3 times, you will have to switch the x and y, since 3 is an odd number.

Hence, The coordinates of the given image after this transformation will be (4,-3).

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19) Solve the inequality. 7x − 9 > 2x + 6 A) x > 3 B) x > 3 5 C) x > −3 D) x > − 3 5

Answers

Answer:

B

Step-by-step explanation:

Given

7x - 9 > 2x + 6 ( subtract 2x from both sides )

5x - 9 > 6 ( add 9 to both sides )

5x > 15 ( divide both sides by 3 )

x > 3 → B

Answer:

B

Step-by-step explanation:

PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y

Answers

Answer:

131

Step-by-step explanation:

25+24=49

180-49=131

i need help!!!
y=6x
y=42

simplify the answer as much as possible

Answers

Answer: X=7

Explanation: because 6x7=42 and 42 is y
Answer & Explanation:

1. Set both of the equations equal to each other to find x.

2. 6x=42

3. Divide both sides by 6.

4. X=7

5. Now let’s find y

6. y=42

7. Check your work:
Plug in the value of x into this equation. y=6x

We know that x=7, so y=6(7)= 42

This means that x=7 and y=42

I hope this helps you!!!!

Which figure has an orthocenter outside the triangle? A triangle has angle measures of 30, 75, and 75 degrees. A triangle has angle measures of 54, 56, and 74 degrees. A triangle has angle measures of 45, 110, and 25 degrees. A triangle has angle measures of 90, 48, and 42 degrees. plzzzz help

Answers

Answer:

A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.

Hope this helps!

:)

Answer:

The Third option is correct.

Step-by-step explanation: just got it right on edge

A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A) V = π(3.5h)2
B) V = π(7h)2
C) V = π(3.5)2h
D) V = π(7)2h

Answers

Answer:

The volume of a cylinder is given by the equation:

V = π(R)^^2*h

where π = 3.14, R is the radius and h is the height.

If in the image we see that the radius is 7, then the correct option is D.

If in the image we shee that the DIAMETER is 7 (a linea that goes from end to end of the circle and goes trough the middle) then we know that the radus is half of the diameter, 7/2 = 3.5

in this case he correct option is C.

Answer:

There is no image included, so I cannot give a direct answer. However, you should be able to figure out the answer after my explanation.

Step-by-step explanation:

‼️now pay attention in order to get this question correct‼️

Well, this is a simple problem, since you don’t necessarily need to solve it. First, you need to know the formula of volume for a cylinder. This is: V = πr²h.

Figure out π. Π is a number too long to be written, so we found it up to 3.14.

π = 3.14

Now figure out the radius, for r. This, isn’t my problem to solve because I don’t have a picture of the cylinder so I cant determine so.

The equations don’t specify any height written, so we don’t have to solve for h yet.

This is your job now. So far, I’ve only figured out π, now find the radius, take that number, and fit it in the parentheses. V = π(_)²h. That’s it. Now look at the options, and pick the option that matches what you’ve already written.

I hope I’ve helped, taking time to write this... but I hope you wouldn’t mind brainliest lol c: take care and have a nice day!

What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *
10 points
A. 30
B. 21.5
C. 25

Answers

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

Answer:

Mode is 30

Option A.

Step-by-step explanation:

Hope the rest helps if you need it :)

Estimate the number of boys at Hillview.

Answers

Answer:

800 boys

Step-by-step explanation:

Solve 1/2n +3 < 5.
Which graph shows the solutions?

I WILL GIVE BRAINLY

Answers

Answer:

Third one

Step-by-step explanation:

½n + 3 < 5

½n < 2

n < 4

Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4

The option c is solution of given equation

What is graph?

the collection of all points whose coordinates satisfy a given relation (such as a function)

According to the question,

½n + 3 < 5

½n < 2

n < 4

Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4

Hence, option c is correct

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The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N

Answers

Answer: rotation then translation

Step-by-step explanation:

The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation

The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.

So, the triangles can be transformed by

TranslationReflectionRotation

From the complete question, the triangles and rotated and translated

Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation

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1.
Which equation in point-slope form contains the point (-2, -6) and has slope -4?
y - 2 = -4(X-6)
y + 2 = -4(x + 6)
.
y + 6 = -4(x + 2)
y-6 = -4(x - 2)

Answers

Answer:

Step-by-step explanation:

y + 6 = -4(x + 2) is the point-slope form

y + 6 = -4x - 8

y = -4x - 14

There are 345 fifth graders enrolled at Wilson Middle School and 15 fifth-grade classrooms. How many students are in each class if each class has the soame number of students?

Answers

Answer:23

Step-by-step explanation:

Literally just division

Answer:

23

Step-by-step explanation:

345\15=23

The marine green turtle has been known to swim 480 km (300 miles) in 10 days." How far, in kilometers, could a marine green turtle swim in 18 days?

Answers

Answer:

864

Step-by-step explanation:

You need to divide 480 by 10. Then multiply the answer which is 48 miles per day. Then take the 48 times 8 for the next 8 days. Then add the answer of that which is 384 and add it to 480.

Hope this helps.

Suzy is shopping at a book sale. The table shows prices for paperbacks.

A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.

These points are graphed. Notice the pattern of the points. What is the rate?

The cost is $
for every 2 books.

Answers

Answer:

3 bucks

Step-by-step explanation:

The rate of change is 2 and the cost of two books is $3.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + C = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.

The points are, (4, 6), (6, 8), and (8, 12).

Slope(m) = (12 - 8)/(8 - 6).

Slope(m) = 4/2.

Slope(m) = 2.

Now, 4 books cost $6, hence 2 books cost $3.

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(x+4)−(x−1)
HELPPPP
5edrfytguyhidiftougyih;fygvjbmncifyykgvjb mnr6o7ftuglh.bjnhugiyfltudkrysi6d7tfugiy;h/junk;lk

Answers

Answer:

There is no plug-in for x.

X=0.

(0+4) - (0-1) = [(4 - (-1)] = 5.

Answer:

5

Step-by-step explanation:

(x+4) -x +1

x - x = 0

5

Michael earns 12% commission on cell phone sales. He sold $549 worth of cell phones this week. How much did he earn in commission?

Answers

Answer:

Michael earns $69.88 in commission.

Step-by-step explanation:

549*0.12=69.88

1 gal 3 c= _fl oz

Convert the unit of capacity

Answers

Answer:

152 fluid ounces

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon. there are 24 fluid ounces in 3 cups. 128+24 is 152. :)

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