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anyanavicka [17]
3 years ago
8

Find p(rolling 1 or 5) with one number cube

Mathematics
2 answers:
zhenek [66]3 years ago
6 0
P(rolling a 5) = 1/6
P(rolling a 1) = 1/6
P(rolling a 1 or a 5) = (1/6 ) + (1/6) = 1/3
The answer is 1/3
loris [4]3 years ago
4 0
<h2>Answer:</h2>

                    P(rolling 1 or 5)=1/3

<h2>Step-by-step explanation:</h2>

Let A represents the event of rolling a 1 on a number cube.

and B represents the event of rolling a 5 on a number cube.

Now we know that both the event A and B are independent.

Hence, we have:

P(A∩B)=0

Now, we are asked to find:  P(A∪B)

P(A∪B)=P(A)+P(B)-P(A∩B)

Hence, we have:

P(A∪B)=P(A)+P(B)

P(A)=1/6

( Since the outcomes on a number cube are: {1,2,3,4,5,6} )

and

P(B)=1/6

P(A∪B)=1/6+1/6

i.e.

P(A∪B)=2/6

i.e.

P(A∪B)=1/3

                Hence, the answer is: 1/3

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If 8% tax on a sale amounts to 96 cents,what is the final price(including tax) of the item?
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5 0
3 years ago
Use the figure. Which is greater, angle mTUR or angle mRUQ? Complete the explanation.
ludmilkaskok [199]

Answer:

Angle RUQ is greater than angle TUR

Step-by-step explanation:

Angle TUR is a total of 125 degrees and angle RUQ is a total of 145 degrees. You find the measure of RUQ by subtracting 35 degrees from 180 degrees, this will give you the 145 degrees. So angle RUQ is greater than angle TUR by 20.

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3 years ago
A water tank looses water at a constant rate. After one minute it contains 44.8 gallons of water and after five minutes it conta
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Answer:

2.56 gallons per minute!

Step-by-step explanation:

44.8 gallons - 32 gallons = 12.8 gallons

12.8 gallons in 5 minutes - so we need to find the unit rate (per one minute)

12.8/5 = 2.56

2.56 gallons per minute!

6 0
3 years ago
Complete the square on the following quadratic
kramer

Answer:

Completing the square we have

x_{1} =\sqrt{55}-8\\\\x_{2}=-\sqrt{55}-8

Step-by-step explanation:

x^{2} +16x+9=0

we have to divide the coefficient of x by half, and then raise it to the square, that number is added and subtracted at the same time

x^{2}+16x+64-64+9=0

(x+8)^{2} -55=0

(x+8)^{2} =55

later we can write

\sqrt{(x+8)^{2}}= \sqrt{55}

we know

\sqrt[2]{a^{2}} =abs(a)

so we have

abs(x+8)=\sqrt{55}

we have

x_{1} =x+8=\sqrt{55}

x_{2}=x+8=-\sqrt{55}

finally we have

x_{1}=\sqrt{55}-8

x_{2} = -\sqrt{55}-8

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4 years ago
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