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MArishka [77]
1 year ago
7

Assume a team plays 6 games. If the team is equally likely to win as to lose each game, what is the probability that they win a

string of at least 4 games in a row? I found my sample size to be 2^6=64 and I've tried listing out all the sequences, what I found was. W W W W W W ; W W W W W L ; W W W W L L ; L W W W W L ; L W W W W W ; L L W W W W,
Mathematics
2 answers:
dedylja [7]1 year ago
5 0
<span>There is 1 way to win 6 games in a row wwwwww There are 2 ways to win 5 games in a row wwwwwl, lwwwww There are 5 ways to win 4 games in a row llwwww, wwwwll, lwwwwl, wlwwww, and wwwwlw. There are 2^n to arrange 6 wins and losses which adds up to 2^(6) = 64 So the Probability they win all four games in a stretch is 5 + 2 + 1 ways = 8 ways. So the probability = 8/64 = 1/8</span>
Llana [10]1 year ago
5 0

Answer:

I THINK A

Step-by-step explanation:

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sammy [17]
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In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

Your answer is 490
4 0
1 year ago
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On a certain​ route, an airline carries 7000 passengers per​ month, each paying ​$30. A market survey indicates that for each​ $
KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

R=p\cdot N=(30+x)(7000-x)

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

p=30+x=30+20=50

The maximum monthly revenue is:

R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000

3 0
2 years ago
Use the scale factor 1:8 to find the missing dimension. Item Model Actual Baby Giraffe Height: cm Height: 1.84 m
Illusion [34]

Answer:

h^{*} = 0.23\,m

Step-by-step explanation:

The scale factor described denotes a reduction operation. The missing dimension is given by simple rule of three:

h^{*} = \frac{1}{8}\cdot (1.84\,m)

h^{*} = 0.23\,m

3 0
2 years ago
How can the triangles be proven similar by the SSS similarity theorem? Show that the ratios StartFraction U V Over X Y EndFracti
dangina [55]

Answer:

<u>option 1</u>

Step-by-step explanation:

The question is as shown in the attached figure.

From the figure, we can deduce that:

∠U ≅ ∠X and ∠W ≅ ∠Z  and ∠V ≅ ∠Y

So, ΔUWV similar to ΔXZY

But it is required to know " How can the triangles be proven similar by the SSS similarity theorem? "

So, we need to prove the corresponding angles are proportion

With the help of the previous corresponding angles.

So, we need to show that the ratios \frac{UV}{XY}  \ , \ \frac{WU}{ZX} \  and \ \frac{WV}{ZY} are equivalent.

So, the answer is <u>option 1</u>

5 0
1 year ago
A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
1 year ago
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