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marshall27 [118]
3 years ago
9

Im really confused can somebody explain this?

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

<u>Given</u>:

The given ratio is 16 : 12

We need to determine three ratios that are equivalent to the given ratio.

<u>Option A</u>: 8:6

The given ratio is 16 : 12

Let us divide the given ratio 16 : 12 by 2.

Thus, we have;

8:6

Hence, the expression 8:6 is equivalent to 16 : 12

Thus, Option A is the correct answer.

<u>Option B</u>: 32:24

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio 16 : 12 by 2, we get;

32:24

Thus, the expression 32:24 is equivalent to 16 : 12

Hence, Option B is the correct answer.

<u>Option C</u>: 4:3

Let us divide the given ratio 16 : 12 by 4.

Thus, we have;

4:3

Thus, the expression 4:3 is equivalent to 16 : 12

Hence, Option C is the correct answer.

<u>Option D</u>: 12:8

The number 12 goes by 16 in \frac{3}{4} times and the number 8 goes by 12 in \frac{2}{3} times.

The ratios are multiplied by different numbers.

Thus, the expression 12:8 is not equivalent to 16 : 12

Hence, Option D is not the correct answer.

<u>Option E</u>: 24:16

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression 24:16 is not equivalent to 16 : 12

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

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Responder:

1,625; 0.8569

Explicación paso a paso:

y ___0 ____ 1 ____ 2 ____3

P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8

Valor esperado (E (x)): Σx * p (x)

= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625

La desviación estándar = sqrt (Var (x))

Var (X) = Σx²p (x) * E (x) ²

Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²

Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2

= 3.375 - 2.640625

= 0,734375

Desviación estándar = Sqrt (0,734375) = 0,8569

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3 years ago
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Answer:

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Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

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