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leonid [27]
4 years ago
14

In playing Monopoly, rolling doubles three times in a row sends you to jail. What is the probability of rolling three consecutiv

e doubles? a. 0.167 b. 0.5 c. 0.00463 d. 18.0
Mathematics
2 answers:
Alex777 [14]4 years ago
8 0
To find the probability you must multiply the probability of rolling doubles by itself 3 times.

to roll a double  of any number you have to have the same number on a six-sided die that can be represented as 1/6 times 1/6 = 1/36 chance per roll

\frac{1}{36} * \frac{1}{36} * \frac{1}{36} = \frac{1}{46656}

there is a 1 in 46656 chance in rolling doubles 3 times in a row.
valina [46]4 years ago
8 0

Answer:c 0.00463

Step-by-step explanation:

1/6×1/6×1/6=1/216

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
Read 2 more answers
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!! with (11)(−4) 12=
Nady [450]

Answer:

you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528

Step-by-step explanation:

6 0
3 years ago
The scatter plot shows the number of passengers at a major airport over a​ 15-year period from the year 2000. About how many pas
Sliva [168]

Answer:

The answer is 65

Step-by-step explanation:

​First, determine the​ x-value that corresponds to the given year.

Since x corresponds to the number of years since​ 2000, the year 2009 corresponds to an​ x-value of 9.

​Next, find the​ y-value on the trend line that corresponds to an​ x-value of 9. The problem statement has been updated to show lines traced from the​ x-value of 9 to the trend line and then to the​ y-value.

Notice that the point​ (9,70) appears to lie on the trend line.

​Therefore, in​ 2009, approximately 70 million passengers travelled through the airport.

Question is complete.

4 0
3 years ago
Drag each number to show whether or not it is a solution to the inequality shown. Inequality: 20?5+3x
Brut [27]

Answer:

The answer to this is any number > 5 will work.

Step-by-step explanation:

Since 20 > 5 + 3x is the inequality, we can then solve for x and see what we have.

20 > 5 + 3x

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8 0
3 years ago
Can someone please Simplify (a^2)^5
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Answer:

a^{10}

Step-by-step explanation:

a^{2*5}

6 0
3 years ago
Read 2 more answers
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