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Alona [7]
2 years ago
11

A spinner has 20 total spaces that are either blue or red. The spinner is spun, and a die is rolled. If the probability of landi

ng on a blue space AND a 3 is 10.83%, how many blue spaces are there on the spinner?
Mathematics
1 answer:
juin [17]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

We have to assume that the die is a cube.

We know that getting a 3, if the die is fair,  is 1 chance out of 6 = 1/6

We don't know how many blues there are on the spinner, but we do know that the number of them is over 20. So that's x/20

Now multiply the left side to get the combined probability. x/20 * 1/6. The result is 10.83/ 100

Solution

(x/20) * (1/6) = 10.83/100

x / 120 = 10.83/100                     Multiply both sides by 120

x = 10.83 * 120 / 100

x = 12.996 which is going to round to 13

The blue spaces = 13

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Answer:

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Step-by-step explanation:

Since you started at the origin of the plane, it would be obvious that your place would be 0.25 on the x-axis. The template for this would be (x,y) x- right and left. y- up and down. On the y-axis, the bug moved 0.25 DOWN to point A. That would be a negative since on the y-axis, it counts up to positives and down to negative. Similar to the x-axis, it counts right to positives, left to negatives. Hope this helped!

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Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0
Norma-Jean [14]

Answer:

Length =5

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Step-by-step explanation:

Given

Length =x

Width = x -3

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See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

x(x-3) =10

Open bracket

x^2 -3x = 10

Equate to 0

x^2 -3x - 10 =0

Expand

x^2 + 2x - 5x - 10 = 0

Factorize

x(x + 2) - 5(x + 2) = 0

Factor out x + 2

(x  - 5)(x + 2) = 0

Solve for x

x - 5 = 0 or x + 2 = 0

x = 5 or x = -2

The value of x cannot be negative

So:

x  = 5

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Length = x

Width = x - 3

So:

Length =5

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