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3 years ago

What is the expected number of times a 6 appears when a fair die is rolled 10 times?

Mathematics

2 answers:

vlada-n [284]3 years ago

8 0

I think 6 fair die is 10 times = 6x10=60

Romashka-Z-Leto [24]3 years ago

7 0

A dice has 1,2,3,4,5,6
so 1 out of 6 times will land on any number
if a 6,then still1/6
1/6 times 10=10/6=5/3
so 5/3 times out of 10 will it land on a 6
about 1 to 2 times

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LenKa [72]

Answer:

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Step-by-step explanation:

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2 years ago

Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

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$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

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By adding equation (1) and (2),

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By putting this value in equation (1),

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7 0

3 years ago

A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number o

ANTONII [103]

The standard deviation for the number of times an odd number is rolled is 15.8

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Die = regular six-sided die

n = 1000

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p = 1/2 = 0.5

The standard deviation is then calculated as;

$\sigma = \sqrt{np(1 - p)$

This gives

$\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)$

Evaluate the products

$\sigma = \sqrt{250$

Evaluate the root

$\sigma = 15.8$

Hence, the standard deviation is 15.8

Read more about standard deviation at:

brainly.com/question/16555520

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2 years ago

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stiv31 [10]

Answer:

4 times

Step-by-step explanation:

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3 years ago

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dybincka [34]

Answer:

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