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aev [14]
2 years ago
5

Find the value of 13! / 3!10!

Mathematics
2 answers:
snow_lady [41]2 years ago
5 0

Answer:

The answer is 286.

Step-by-step explanation:

<u>13! can be rewritten</u> as 13*12*11*10!.

Since <u>10! is on the top and bottom of the fraction</u>, we can<em> eliminate them</em>. We are then left with 13*12*11/3!.

3! = 6. We can <u>eliminate the 6 from the denominator by diving the 12 by 6</u> in the numerator to get 13*11*2.

Finally, we can can evaluate the expression to get 286.

djyliett [7]2 years ago
5 0

Answer:

the answer is 286

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On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu
CaHeK987 [17]

Answer:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

Step-by-step explanation:

In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R=\frac{2n!}{m!*(2n-m)!}

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of P_{case}=0.5^{2n} so:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

<u>For example, to toss 4 heads in 5 rounds: </u>

  • n=5
  • 2n=10
  • m=4

P=\frac{10!}{4!*(10-4)!}*0.5^{10}

P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205

8 0
3 years ago
What is the density of water? Remember for water 1g=1ml=1cm^3
NeTakaya

Answer:

1 g/cm^3 or 1 g/ml

Step-by-step explanation:


5 0
2 years ago
Find the distance between the points A (13, 2) and B (7, 10).
Aliun [14]

Answer:

10

Step-by-step explanation:

d = 10

For:

(X1, Y1) = (13, 2)

(X2, Y2) = (7, 10)

Distance Equation Solution:

d=(7−13)2+(10−2)2−−−−−−−−−−−−−−−−−√

d=(−6)2+(8)2−−−−−−−−−−√

d=36+64−−−−−−√

d=1–√00

d=10

4 0
2 years ago
The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?
dimulka [17.4K]

Answer:

53

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

8 0
2 years ago
What is the reciprocal of 3? (As a fraction)
grigory [225]

Answer:

1/3

Step-by-step explanation:

The reciprocal of a number is 1 divided by the number.

The reciprocal of 3 is 1 divided by 3, or simply 1/3.

3 0
3 years ago
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