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3 years ago

12

nida is buying a small storage box online. She sees a cube box with volume of 125cm^3. What is the length of each box edge?

1 answer:

aleksklad [387]3 years ago

5 0

Answer:

5 cm

Step-by-step explanation:

Here, we want to get the length of each box edge

Let the length be s

Mathematically, the volume of a cube is s^3

Thus;

s^3 = 125

s^3 = 5^3

s = 5 cm

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Answer:

False

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let y = m∠Y.

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3 years ago

What is the product of 9 and -7?

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Step-by-step explanation:

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3 years ago

A probability distribution for a random variable Y is given by P(Y=y)=cy, for y=1,2,4,5 and c is a constant. Find E(Y), the expe

Dahasolnce [82]

Answer:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

Step-by-step explanation:

For this case we know the following probability mass function given:

$P(y) = cy , y= 1,2,4,5$

For this case we need to satisfy the following condition in order to have a probability distribution function:

$\sum_{i=1}^n P(y_i) =1$

And we have this:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

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3 years ago

Which of the following is NOT a formula for determining complementary probability?

forsale [732]

<em>Question:</em>

<em>Which of the following is NOT a formula for determining complementary probability?</em>

<em>A. P(outcome) = 1- P(-outcome)</em>

<em>B. P(outcome) - P(-outcome) = 1</em>

<em>C. P(outcome) + P(-outcome) =1</em>

<em>D. P(-outcome) = 1 - P(outcome)</em>

<em></em>

Answer:

$P(outcome) - P(-outcome) = 1$

Step-by-step explanation:

Required

Determine which option is not a formula of complementary probabilities

From the list of given options, the complementary probabilities are P(outcome) and P(-outcome)

In probability;

$P(outcome) + P(-outcome) = 1$ --- Equation 1

Subtract P(outcome) from both sides

$P(outcome) - P(outcome) + P(outcome) = 1 - P(outcome)$

$P(-outcome) = 1 - P(outcome)$ ------ Equation 2

Subtract P(-outcome) from both sides of equation 1

$P(outcome) + P(-outcome) - P(-outcome) = 1 - P(-outcome)$

$P(outcome) = 1 - P(-outcome)$

Equation 1, 2 and 3 represents options A, C and D

While option B is out of place

<em>Hence, option B is not a formula of complementary probability</em>

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4 years ago