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OlgaM077 [116]
3 years ago
9

Koshi runs in a circular path around a field so that he is always 40 yards from the center of the field. If he runs 4 laps aroun

d the field, what is the total distance Koshi runs?
A 125.6 yd
B 251.2 yd
C 502.4 yd
D 1,004.8 yd ​

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

yeah the answer is B

how did you send a request

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A total of 2n cards, of which 2 are aces, are to be randomly divided among two players, with each player receiving n cards. Each
klasskru [66]

Answer:

P(X_s^c|X_F) =0.2

P(X_s^c|X_F) =0.31

P(X_s^c|X_F) =0.331

Step-by-step explanation:

From the given information:

Let represent X_F as the first player getting an ace

Let X_S to be the second player getting an ace and

\sim X_S as the second player not getting an ace.

So;

The probabiility of the second player not getting an ace  and the first player getting an ace can be computed as;

P(\sim X_S| X_F) = 1 - P(X_S|X_F)

P(X_S|X_F) = \dfrac{P(X_SX_F)}{P(X_F)}

Let's determine the probability of getting an ace in the first player

i.e

P(X_F) = 1 - P(X_F^c)

= 1 -\dfrac{(^{2n-2}_n)}{(^{2n}_n)}}

= 1 - \dfrac{n-1}{2(2n-1)}

=  \dfrac{3n-1}{4n-2} --- (1)

To determine the probability of the second player getting an ace and the first player getting an ace.

P(X_sX_F) = \text{ (distribute aces to both ) and (select the left over n-1 cards from 2n-2 cards}P(X_sX_F) = \dfrac{2(^{2n-2}C_{n-1})}{^{2n}C_n}

P(X_sX_F) = \dfrac{n}{2n -1}---(2)

P(X_s|X_F) = \dfrac{2}{1}

P(X_s|X_F) = \dfrac{2n}{3n -1}

Thus, the conditional probability that the second player has no aces, provided that the first player declares affirmative is:

P(X_s^c|X_F) = 1- \dfrac{2n}{3n -1}

P(X_s^c|X_F) = \dfrac{n-1}{3n -1}

Therefore;

for n= 2

P(X_s^c|X_F) = \dfrac{2-1}{3(2) -1}

P(X_s^c|X_F) = \dfrac{1}{6 -1}

P(X_s^c|X_F) = \dfrac{1}{5}

P(X_s^c|X_F) =0.2

for n= 10

P(X_s^c|X_F) = \dfrac{10-1}{3(10) -1}

P(X_s^c|X_F) = \dfrac{9}{30 -1}

P(X_s^c|X_F) = \dfrac{9}{29}

P(X_s^c|X_F) =0.31

for n = 100

P(X_s^c|X_F) = \dfrac{100-1}{3(100) -1}

P(X_s^c|X_F) = \dfrac{99}{300 -1}

P(X_s^c|X_F) = \dfrac{99}{299}

P(X_s^c|X_F) =0.331

8 0
3 years ago
Please help im so freakin confused haha
Elina [12.6K]

Given data is that circles are identical. According to this diameters are identical too.

Diameter of the first circle is 4x and for the second 2x+3.

We can make equality  4x = 2x+3 => 2x=3 => x=3/2

Circumference of each circle is C= 2r pi = 2*(3/2) pi = 3 pi

The correct is fifth answer.

Good luck!

4 0
3 years ago
Today's temperature is supposed to be 5°C warmer than yesterday. If yesterday's temperature was -10°C, what is today's temperatu
alexandr402 [8]
I believe it would be -5c
7 0
3 years ago
Please help<br> Answers please
butalik [34]
You have 1/5x and 4/5x if you add these you get 5/5x or 1x
The left side simplifies to:
x +9 > -11
Subtract 9
x > -20
8 0
3 years ago
13 is 5% of what number?
AlekseyPX
The answer to your question is 260
4 0
3 years ago
Read 2 more answers
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