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LiRa [457]
3 years ago
15

Mark rolls 2 fair dice and adds the results from each.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

Answer:

P ( X > 5 ) = 72,2 %

Step-by-step explanation:

The probability of success ( outcomes bigger than 5 )

If dice  1  outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes

If dice 1 outcome is 5  we also have  6 outcomes

If dice 1  outcomes is 4 we have 5 positive outcomes

If dice 1  outcome is 3  we have 4 positive outcomes

If dice 1  outcome is 2  we have 3 positive outcomes

if dice 1  outcome is 1  we have 2 positive outcomes

Total evaluating dice 1: positive outcomes 26

We will get the sames results analysing  dice 2 then we have a total of

52 successful events

And total numbers of outcomes is 36 + 36 = 72

Then

P ( X > 5 ) = 52/72  

P ( X > 5 ) = 0,722    

P ( X > 5 ) = 72,2 %

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Step-by-step explanation:


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Explain how to find the LCM of 5 and 6.
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3 years ago
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7 0
3 years ago
The midpoint of AB is M (6,1). If the coordinates of A are (4, 8), what are the coordinates of B?
geniusboy [140]

Answer:

B = (8,-6)

Step-by-step explanation:

Given

A = (4,8)

M = (6,1) -- Midpoint

Required

Find B

This question will be solved using midpoint formula;

M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

Where

A(x_1,y_1) = (4,8)

M(x,y) = (6,1)

Substitute these values in the midpoint formula;

(6,1) = (\frac{4 + x_2}{2},\frac{8+y_2}{2})

By comparison; we have:

\frac{4 + x_2}{2} = 6 -- (1)

\frac{8 + y_2}{2} = 1 -- (2)

Solving (1)

\frac{4 + x_2}{2} = 6

Multiply both sides by 2

4 + x_2 = 12

Subtract 4 from both sides

x_2 = 8

Solving (2)

\frac{8 + y_2}{2} = 1

Multiply both sides by 2

8 + y_2 = 2

Subtract 8 from both sides

y_2 = -6

Hence:

B = (8,-6)

3 0
3 years ago
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