The positions on a lacrosse team are called defenders (D). midfielders (M) and attackers (A) One player is chosen at random to lead the team in

exercises before each game. The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two

games. The list of all possible outcomes is shown, where each outcome has equal probability of occurring.

MDA

DDA

AMA

AMM

AAA

AAM

AAD

ADA

ADM

ADD

DMA

DMM

MAA

MAM

MAD

MMA

MMM

DDM

DAA

DAM

DAD

MDM

MDD

MMD

DMD

AMD

DDD

What is the probability that a defender is chosen at least once, given that a midfielder is chosen at the first game?

Answers

Answer 1

Answer:

[tex]P(D|M) = \frac{5}{9}[/tex]

Step-by-step explanation:

Given

The sample space

Required

Probability that D is chosen at least twice provided that M is chosen first

First, list out all outcomes where M is selected first

[tex]M = \{MDA,,MAA,MAM,MAD,MMA,MMM,MDM,MDD,MMD\}[/tex]

[tex]n(M) = 9[/tex]

Next, list out all outcomes where D appears at least 1 when M is first

[tex]D\ n\ M= \{MDA,MAD,MDM,MDD,MMD\}[/tex]

[tex]n(D\ n\ M) = 5[/tex]

So, the required probability is:

[tex]P(D|M) = \frac{n(D\ n\ M)}{n(M)}[/tex]

[tex]P(D|M) = \frac{5}{9}[/tex]


Related Questions

Assume that blood pressure readings are normally distributed with a mean of 117 and a standard deviation of 9.6. If 144 people are randomly selected, find the probability that their mean blood pressure will be less than 119.

Answers

Answer:

0.9938

Step-by-step explanation:

Let mean blood pressure be = x

Pr ( x < 119 ) can be found using ' z value ' = ( x - u ) ÷ ( s / √n ) ; where                x = 119 , u = mean = 117 , n = no. of sample items = 144 , s = standard deviation = 9.6

z = (119 - 117) ÷ (9.6 / 144) = -2 ÷ (9.6 / 12)  = -2 / 0.8 → z = 2.5

Pr (x < 119) = P (z <  2.5)

P = 0.9938

cot(-x)*sin(x) = -cos x

help pls lol

simplify that fist answer gets brainliest and if its a bs answer it doesn't count :D

Answers

Answer:

0

Step-by-step explanation:

first you will need to know the negative angle identities, which show that cot(-x)=-cot(x), you can then simplify that to -(cos/sin) so when you multiply by sin(x), or sin(x)/1, the sines cancel out and you are left with -(cos(x)/1)*(1/1) so your equation is now -cos(x)=-cos(x), so when you add the cosines over, you get zero

fast fat sfast eeeee

Answers

Step-by-step explanation:

3/9-2/93-2/91/9

stay safe healthy and happy..

Answer:

1/9

Step-by-step explanation:

=3/9 -2/9 =1/?

=3-2/9 =1/?

=1/9 .

I hope it helps u

mark me as brainlist answer

thank you

Ill give u 100 pointsss

Answers

Answer:

circumference of a circle :

                      [tex]2\pi r\\[/tex] = 2 π x 6 = 12π inches

Which graph represents function g if g(x)=f(2x)

Answers

The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function f(x) shown in the coordinate plane.

The function g(x) = f(2x)

As we can see in the new function g(x) it is the transformation of the f(x).

Transformation is applied as below:

x → 2x   (x is replaced by the twice of it)

= f(x)

= f(2x)

= g(x)

When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.

Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

Learn more about the function here:

brainly.com/question/5245372

((HELP QUICK PLEASE))
Clark and his friends bought strawberry wafers for $2 per packet and chocolate wafers for $3 per packet at a carnival. They spent a total of $30 to buy a total of 14 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Clark and his friends bought at the carnival. Make sure you say what each variable means! (Which one is which wafer type?)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer.​

Answers

Answer:

Step-by-step explanation:

A. S=strawberry, C=chocolate

    S+C=14 equation 1

     2s+3c=30 equation 2

B. -2(s+c)=-2(14) multiply equation 1 by -2 to use elimination method  

   -2s+-2c=-28 modified Equation 1

    2s+ 3c=30. Equation 2

          C=2 add above two equations.

solve for s

s+c=14

s+2=14

s=12

Used elimination method since it was easier to add the two equations.

check answer by inputting s,c values in either equation.

2s+3c=30

2(12)+3(2)=30

24+6=30

30=30

9514 1404 393

Answer:

2s+3c=30s+c=142 chocolate12 strawberry

Step-by-step explanation:

Part A:

I like to use variable names that remind me what they stand for. Here, we can use s and c for the numbers of strawberry and chocolate packets, respectively. The two equations we can write based on the problem statement are ...

  2s + 3c = 30 . . . . . . . the total cost of the purchase

  s + c = 14 . . . . . . . . . . the number of items purchased

__

Part B:

Ordinarily, I would use one equation for the problem. That equation can be arrived at by substituting for s using the second equation. We choose to substitute for s so the only remaining variable is the one representing the highest-value contributor to the total cost.

  s = 14 -c

  2(14 -c) +3c = 30 . . . . substitute for s

  28 +c = 30 . . . . . . . . . simplify (notice the coefficient of c is positive)

  c = 2 . . . . . . . . . . . subtract 28

  s = 14 -2 = 12 . . . . find s using the above equation

They bought 2 packets of chocolate and 12 packets of strawberry wafers.

__

Explanation of choices

When the total purchase is n items and x of them are of one kind, then n-x is the number of the other kind. You don't need to write a second equation to figure that out. Hence the problem can be described by a single equation, such as the one highlighted above. Doing this lets you skip a variable definition and a couple of solution steps you don't really need.

The choice of variable as being the high-cost item ensures that its coefficient in the equation will be positive. Fewer errors are made when arithmetic is done with positive numbers. Again, recognizing that early on saves headaches down the line.

Getting to a generic solution

Note that the number we subtract (28) is the "would be" cost of all of the items purchased being the lowest-cost item (14 strawberry packets). This recognition can let you do the entire problem in your head. The difference between the actual cost and the "would be" cost is the result of replacing some number of the lowest-cost items with the higher-cost ones. The difference between total costs is divided by the difference in cost per item to find the number of the higher-cost item. That is the answer to all problems of this type. (30 -14(2))/(3-2) = 2 = the number of $3 packets.

Some1 help plzz hurry

Answers

Answer:

Your answer should be A because that is the only one that multiplies them all by 11

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

Use any method to solve. Write the answer as an ordered pair.

6x + y = 12
-4x - 2y = 0

A. (-6, 3)
B. (3, 6)
C. (6, 3)
D. (3, -6)

Answers

I’m pretty sure the answer is D

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]6(2)x + (2)y = 12(2) \\ + \\ - 4x - 2y = 0 \\ = \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]

Pls someone help me i’ve been asking for so long and no one answers

Answers

Fam i don't know what your doing so

Help! Can anyone help? I’ve been stuck.. I’ll make sure to give Brainly. The answer is not 3,850. Thank you.

Answers

9514 1404 393

Answer:

  $3400

Step-by-step explanation:

The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.

tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)

  = 300 + 2000 +1100

  = 3400 . . . dollars

The tax owed on $70,000 is $3,400.

_____

Additional comment

I like to rewrite this sort of table to a different format:

3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000(5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000(5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000

For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.

help me ugent
12 x 12 ^ 1

Answers

Answer:

144 lol

Step-by-step explanation:

Question 11 of 25
Which confidence level would produce the widest interval when estimating
the mean of a population from the mean and standard deviation of a sample
of that population?
A. 38%
B. 26%
C. 54%
D. 61%

Answers

61% confidence level would produce the widest interval since it is the highest.

Confidence interval

Z score is used to determine by how many standard deviation the raw score is above or below the mean.

Confidence interval is given by: mean ± margin of error

The margin of error is given by: [tex]z_\frac{\alpha }{2}* \frac{standard\ deviation}{\sqrt{sample\ size} }[/tex]

The confidence interval is dependent on the margin of error which also depends on the z score of the confidence level, hence the interval increases as the confidence level increases.

61% confidence level would produce the widest interval since it is the highest.

Find out more on Confidence interval at: https://brainly.com/question/15712887

If you help me l will give you the brainlest ☑️☑️

Answers

Answer:

64 (if 4 x 4 x 4) or

12 (it could be any of them)

Step-by-step explanation:

Since "3" is related to l x w x h.

You can either do 4 x 4 x 4

or

4 x 3

It depends what formula (aka L x W x H).

Answer:

64

Step-by-step explanation:

= [tex]4^{3}[/tex]

= (4) * (4) * (4)

= 64

Hope this helps :)

1. Find the approximate volume of a sphere with a diameter of 12cm

2. Find the approximate volume of a cone with a diameter of 14cm and a height of 9 cm

Answers

Answer:

si simon chavon

Step-by-step explanation:

i lowky need this question not an fake answer !

Answers

Answer:

is there a graph that shows where the point is? I can’t help without a graph

Step-by-step explanation:

Where’s the graph? No one can help you if there is no graph, try the top one

Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today, the store is offering an additional 15% off.

To find the new price of the skirt, in dollars, Mai says they need to calculate 30. 0.85 0.85. Elena says they can just multiply 30.0.70.
1. How much will the skirt cost using Mai's method?
2. How much will the skirt cost using Elena's method?
3. Explain why the expressions used by Mai and Elena give different prices for the skirt.

Answers

Answer:

Mai

Step-by-step explanation:

1. 21.675 R $22

2. $21

Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.

Go check out Quelenasboutique on Etsy

200 shares of a stock were bought for $58 per share the broker's
commission was $40 plus $0.25 / share. The stock was later sold for $66/
share the broker's commission was $50 plus $0.32/ share. Calculate the
profit from the sale
$1596
$1000
$1396
$1624

Answers

Answer:

1396

Step-by-step explanation:

Profit= revenue-cost

Let's start off by calculating the revenue (the amount they get when they sold the stock) 200*66=13200

Now we need to calculate the cost

40+50+200(.32+.25+58)=11804

13200-11804=1396

Answer:C is correct

Step-by-step explanation:

200*58= 11600

Commission = 40+ (200*0.25)

Commission = 90

Total = 11690

Sell

200*66= 13200

Commission 50+ (0.32*200)

Commission = 114

Sell for 13200-114 = 13086

Profit = 13086 - 11690

Profit = 1396

It is helpful

What is the median of the following numbers? 6,4,1,9,3,8,3,5, 10
please help​

Answers

Answer:

5

Step-by-step explanation:

Mark brainliest

Answer:

5

Explanation:

given:

6, 4, 1, 9, 3, 8, 3, 5, 10

so let's sort it first:

1, 3, 3, 4, 5, 6, 8, 9, 10

the Median is the middle of a sorted list of numbers, and it's 5 in this case

(It doesn't matter that some numbers are repeated in the list)

4 hunting, 7 fishing, 6hiking, and 3 camping events. How many different outdoor expeditions possible?

Answers

Answer:

its 420

Step-by-step explanation:

420+69+69=420

Is anyone brave enough to figure this out??? I’ll give Brainly (ToT) thank you !!

Answers

Answer: $52.50

Step-by-step explanation:

There is only 12 months and the interest compounds yearly so I guess it is just

3500 x 1.5% = 3500 x 1.5 / 100 = 35 x 1.5 = $52.50

Rounding is not needed

Please help no links or get reported
Parentheses are placed differently in each of the following expressions. Drag the tiles to match the correct answer with each of the expressions. Tiles may be used once, more than once, or not at all.

16 28 88 196


30−2×3+4=

(30−2)×3+4 =

30−2 × (3+4)=

(30−2)x(3+4)=

Answers

1. 28

2. 88

3. 16

4. 196

Your welcome! :) ❤️

Answer:

1. 28   2. 88   3. 16   4. 196  

Your welcome! :)

guys help me im du.mb

Answers

Answer:

-2/3x

hope this helps

have a good day :)

Step-by-step explanation:

Quadrilateral H prime is the image of quadrilateral H after a sequence of transformations. If quadrilateral H prime is congruent to quadrilateral H, which transformations could have been used? a dilation by a scale factor of 2 followed by a reflection a rotation followed by a dilation by a scale factor of One-half a reflection, a translation of 1 unit left, and then a dilation by a scale factor of 3 a translation of 6 units down, a rotation, and then a reflection

Answers

9514 1404 393

Answer:

  (d)  a translation of 6 units down, a rotation, and then a reflection

Step-by-step explanation:

Dilation by any scale factor other than 1 will prevent the original being congruent with its image. The only answer choice with no dilation is the one shown above.

What is the radius of a hemisphere with a volume of 1773 cm”, to the nearest tenth
of a centimeter?
Answer is - in cms

Answers

Answer:

R=9.5

Step-by-step explanation:

If anyone could pls do this for me  

https://brainly.com/question/23716720

Answer:

Radius(r) = 9.5 cm

Happy learning!

Applepi101

Sams rectangular swimming pool measures 1 1/2 meters deep, 10 meters long, and 7 meters wide. What is the volume of the swimming pool?

Answers

Answer:

[tex]105\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex]. Plugging in given values, we have [tex]V=1.5\cdot 10\cdot 7=\boxed{105\:\mathrm{m^3}}[/tex].

Answer:

105

Step-by-step explanation:

Length × Width × height

10×7× 1.5

(10×7) 1.5

70×1.5

=105

21.)
A rock concert brought in $432,500 on the sale of 9,500 tickets. If the tickets sold for
$35 and $55 each, how many of each type of ticket were sold?

Answers

Answer:

Step-by-step explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500

In the figure below, NM and NP are examples of ______ because they share an endpoint.

please look at picture.

Answers

intersection is the answer

Which expression is equivalent to 30 ÷ (3 + x)?

Answers

Answer:

G maybe?

Step-by-step explanation:

Ms. Patterson is putting up new border on her bulletin boards. If the bulletin board is 5.5 feet by 2.75 feet, how much border will she need?

Answers

Answer:

16.5 feet

Step-by-step explanation:

Length (L) = 5.5 feet

Width (W) = 2.75 feet

2(l) + 2(w)2(5.5) + 2(2.75)11 + 5.5

16.5 feet

Ms.Patterson need 16.5 feet border.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

hey guys in the middle of my final! please help? will mark the brainiest + 30 points !

Answers

Answer:

X=90

..............

Other Questions
"The Charge of the Light Brigade"by Alfred Lord TennysonHalf a league, half a league,Half a league onward,All in the valley of DeathRode the six hundred.'Forward, the Light Brigade!Charge for the guns' he said:Into the valley of DeathRode the six hundred.'Forward, the Light Brigade!'Was there a man dismay'd?Not tho' the soldiers knewSome one had blunder'd:Their's not to make reply,Their's not to reason why,Their's but to do and die:Into the valley of DeathRode the six hundred.Cannon to right of them,Cannon to left of them,Cannon in front of themVolley'd and thunder'd;Storm'd at with shot and shell,Boldly they rode and well,Into the jaws of Death,Into the mouth of HellRode the six hundred.Flash'd all their sabres bare,Flash'd as they turned in airSabring the gunners there,Charging an army whileAll the world wonder'd:Plunged in the battery-smokeRight thro' the line they broke;Cossack and RussianReel'd from the sabre-strokeShatter'd and sunder'd.Then they rode back, but notNot the six hundred.Cannon to right of them,Cannon to left of them,Cannon behind themVolley'd and thunder'd;Storm'd at with shot and shell,While horse and hero fell,They that had fought so wellCame thro' the jaws of Death,Back from the mouth of Hell,All that was left of them,Left of six hundred.When can their glory fade?O the wild charge they made!All the world wonder'd.Honour the charge they made!Honour the Light Brigade,Noble six hundred!List the unfamiliar words you found in the poem. Next to the word, write its definition. A circle has a circumference of 10 feet. What is thediameter? Is freedom of speech in the first or second amendment? In an enclosure, there are 8 yellow chicks and 6 black and white chicks. The door opens and two chicks escape. What is the probability that both chicks were yellow? The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectanglewrite down the lower bound What else helped the dust bowl ? Imagine that you could give one character in the novel advice to help him or her in the story. Whom would you choose, what would you tell him or her, and why? In a short journal entry of about 150 words, and using details from the novel, describe your advice and explain how it would help the character. WRITER For the decomposition of dinitrogen pentoxide in carbon tetrachloride solution at 30 C , the average rate of disappearance of N2O5 over the time period from t = 0 min to t = 112 min is found to be 5.8010^-4 M min^-1. The average rate of formation of O2 over the same time period is:__________ M min-1 The picture below shows brown bears by the side of a river.In this environment, the brown bears by the river are can someone do this crossword puzzle. Which two factors led to the dissolution of Yugoslavia What does all matter have in common? A. It is made up of atoms. B. It is made up of molecules. C. It is all solid. D. It is too small to see. Prompt: Tell the story that everyone in your family knows, that a parent retells all the time, or is almost legend at this point. (Ideas: Sometimes its about holidays or traditions, or the time someone got hurt really badly, a funny or bad thing a relative did when they were younger, etc.)In 10 sentences or more. Look at the economic continuum Then answer the question that followsCubaMexicoUnitedStates CanadaPure CommandPure MarketBased on the diagram, which statement about the Canadian economy is MOST LIKELY correct?A Canada suffers from a lack of valuable natural resourcesBIt is easier to start a business in Canada than it is in Cuba.C Consumers in Canada have more choices than those in MexicoD. The Canadian government controls all of the means of production Please help, lots of points!If you were working for a beverage company, which molarity would you recommend, and what directions for mixing would you create for the drink package? Support your claims using the data you collected. 4. What is it called when wavelengths spread out by passing through an object such as a prism?reflectiondispersionabsorptionrefraction Dentro de 15 aos la edad de Carlos ser el doble de la edad de Ana. Hace 6 aos la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado A project manager is trying to convince management to use more formal project management procedures and has decided to start improving the company's project management by obtaining a project charter for each of his projects. Which of the following best describes how a project charter would help the project manager?a. It describes the details of what needs to be doneb. It lists the names of all team membersc. It gives the project manager authorityd. It describes the project's history how did Nelson Mandela accomplish his goals as president What is the capital of Kenya?