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2 years ago

Marti rolls two dice what is the probability that the sum of the dice is 7 given that the first die is 2

Mathematics

2 answers:

aniked [119]2 years ago

8 0

A - the sum of two dice is 7

B - the first die is 2

$P(A|B)=\dfrac{P(A \cap B)}{P(B)}\\\\ |\Omega|=6^2=36\\ |A\cap B|=1\\ |B|=1\cdot6=6\\\\ P(A\cap B)=\dfrac{1}{36}\\ P(B)=\dfrac{6}{36}=\dfrac{1}{6}\\\\ P(A|B)=\dfrac{\dfrac{1}{36}}{\dfrac{1}{6}}=\dfrac{1}{36}\cdot6=\dfrac{1}{6}$

Igoryamba2 years ago

5 0

We have 6x6 for all the possibilities for rolling 2 dices. and we know: (2;5) is the only way So the answer should be 1/36 i hope its right :)

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Which points are on the graph of g(x) = (1/5)^x

11111nata11111 [884]

Answer:

A) The point( -1 , 5) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

B) The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

Step-by-step explanation:

Explanation:-

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

Put the point ( -1 , 5)

Put y =5 and x =-1

$5 = (\frac{1}{5} )^{-1} = 5$

The point( -1 , 5) is satisfies the given graph

ii)

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

$\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}$

The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

7 0

3 years ago

Hi I would like to know how I can solve this problem.

murzikaleks [220]

The $n$ -th term is

$U_n = \dfrac14 n^2 (n+1)^2$

so the 39th term is

$U_{39} = \dfrac14 39^2 40^2 = \boxed{608,400}$

Observe that

$2^3 + 4^3 + 6^3 = 2^3 + 2^3\times2^3 + 2^3\times3^3 = 8\left(1^3+2^3+3^3)$

which suggests that

$V_n = 8U_n = \boxed{2n^2(n+1)^2}$

3 0

2 years ago

Given the parent function f(x)=x^3 calculate f(-3) and f(3)

777dan777 [17]

Answer: f(-3) = -27 & f(3) = 27

Step-by-step explanation:

(-3)^3

-27

(3)^3

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3 years ago

What is the solution to -(6m+8)=4(17-m)

ale4655 [162]

Answer:

The solution to the problem is -38.

Step-by-step explanation:

-(6m + 8) = 4(17 - m)
=> -6m - 8 = 68 - 4m
=> -6m + 4m = 68 + 8
=> -2m = 76
=> m = 76/-2
=> m = -38

Hence, the solution to the problem is -38.

Hoped this helped.

$BrainiacUser1357$

5 0

2 years ago

Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each hour. For how many hours will the tota

GuDViN [60]

Answer:

8 hours

$480

Step-by-step explanation:

Let us assume the hours be x

There should be two equations

For Plumber A = 60x

For Plumber B = 40 + 55x

Now in order to considered the cost to be the same we equate these two equations

60x = 40 + 55x

5x = 40

x = 8 hours

Now the total cost for plumber A is

= 480

And, the total cost for plumber B is

= 40 + 55(8)

= 480

hence, the total cost is $480

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2 years ago