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3241004551 [841]
3 years ago
15

Estimate how many times a six-sided dice needs to be rolled to obtain the number 4 twenty times.

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Given:

A dice is rolled.

To find:

How many times a six-sided dice needs to be rolled to obtain the number 4 twenty times.

Solution:

We know that, if we roll a dice then the possible outcomes are 1, 2, 3, 4, 5, 6.

Total possible outcomes = 6

So, the probability of getting a 4 in one roll is:

P(4)=\dfrac{1}{6}

Let n be the number of times the dice is rolled to obtain the number 4 twenty times. Then,

\dfrac{1}{6}\times n=20

\dfrac{n}{6}=20

n=20\times 6

n=120

Therefore, the correct option is C.

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Answer:

A. 105°

Step-by-step explanation:

∠4 + ∠5 = 150

∠4 ≅ ∠5

150 ÷ 2 = 75

∠4 = 75

∠5 = 75

180 - 75 = 105

∠1 = 105

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Find the equation of the circle that has a diameter with endpoints (7,3) and (7,-5)
muminat

Answer:

(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16

Step-by-step explanation:

1) coordinates of the center

x0=(x1+x2)/2=(7+7)/2=7

y0=(y1+y1)/2=(3-5)/2 = -1

(7, -1) - coordinates of the center

2) radius of the circle

length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8

r = length of the radius = length of the diameter / 2 = 8/2 = 4

3) the equation of the circle

(x-x0)² + (y-y0)²= r²

(x-7)² + (y+1)² = 4²=16

3 0
4 years ago
979<br> Find the value of each variable.<br> 890<br> 107°/2<br> y<br> Z=
lana [24]

~Shoto Todoroki here~

i think z=63 degrees

hope this helps :D

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A tennis tournament has 2n contestants. We want to pair them up for the first round of singles matches. Show that the number of
ddd [48]

There are

\dbinom{2n}2 = \dfrac{(2n)!}{2! (2n-2)!}

ways of pairing up any 2 members from the pool of 2n contestants. Note that

(2n)! = 1\times2\times3\times4\times\cdots\times(2n-2)\times(2n-1)\times(2n) = (2n-2)! \times(2n-1) \times(2n)

so that

\dbinom{2n}2 = \dfrac{(2n)\times(2n-1)\times(2n-2)!}{2! (2n-2)!} = \boxed{n(2n-1)}

4 0
2 years ago
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