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lapo4ka [179]
3 years ago
12

What is the probability of rolling a sum of 6 and rolling doubles?

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

Rolling a sum of 6: 5/36 or 13.9% chance

Rolling double: 1/6 or 16.7% chance

Step-by-step explanation:

Probability of rolling a sum of 6:

1 + 5

2 + 4

3 + 3

4 + 2

5 + 1

So there are 5 chance of getting a sum of 6 in total of 36 probability outcomes. So there would be 5/36 or 13.9% chance of rolling a sum of 6

Probability of rolling a double:

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6

So there are 6 chance of getting a double in total of 36 probability outcomes. So there would be 6/36 = 1/6 or 16.7% chance of rolling doubles.

Hope this help :3

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Maria had planned to walk 10 1/8 miles on wednesday, if she walked 7 2/8 miles in the morning how far would she need to walk in
Ugo [173]

Answer:

Distance Maria had to walk in the afternoon is 2\frac{7}{8}

Step-by-step explanation:

Lets take that Maria walked x miles in the afternoon.

Distance walked in the morning + distance walked in the afternoon = 10\frac{1}{8}

⇒7\frac{2}{8} +x=10\frac{1}{8}

\frac{58}{8} +\frac{8x}{8} =\frac{81}{8}

\frac{58+8x}{8} =\frac{81}{8}

58+8x=81

8x=81-58\\

8x=23

x=\frac{23}{8}

x=2\frac{7}{8}

7 0
3 years ago
When x = 5, the value of the expression –2(x – 10) is
nikitadnepr [17]

Answer:

The value of the expression at x=5 is 10

Step-by-step explanation:

The given expression is -2(x-10)

Let us simplify this expression.

Distribute -2 over the parentheses, we get

-2x+20

Now, substitute x = 5, we get

-2(5)+20

On simplifying, we get

-10+20\\=10

The value of the expression at x=5 is 10

8 0
3 years ago
Read 2 more answers
Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad
____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by  bike price × total number of bikes manufactured and sold

∴ R(x)  = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0
3 years ago
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s344n2d4d5 [400]

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Step-by-step explanation:

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3 years ago
Help with algebra please
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