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3 years ago

41= 12d-7 solve for d

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

d = 4

Step 1: Flip the equation.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 12.

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Suppose the standard deviation of X is 6 and the standard deviation of Y is 8. Answer the following two questions, rounding to t

Darina [25.2K]

Recall that

Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

Then

Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]

Now, standard deviation = square root of variance, so

Var[3X - 7Y] = 9×6² - 42×2 + 49×8² = 3376

The general result is easy to prove: by definition,

Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

Then

Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]

… = E[(aX + bY)²] - E[aX + bY]²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a ² E[X]² + 2 ab E[X] E[Y] + b ² E[Y]²)

… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²

… = a ² (E[X ²] - E[X]²) + 2ab (E[XY] - E[X] E[Y]) + b ² (E[Y ²] - E[Y]²)

… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

6 0

3 years ago

A.140 B. 60 C.120 or D.40 ?

GalinKa [24]

Answer:

A-140

Step-by-step explanation:

A starts at 0 and from the side you're measuring it would be 140 and not 40.

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Answer:

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Step-by-step explanation:

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Liula [17]

It is 354.88
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AleksAgata [21]

Answer:

2,080

Step-by-step explanation:

Two thousand and seventy is written as 2,070.

Ten more than 2,070 would be 2,080 as you're just adding on 10.

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