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3 years ago

5

Renee calculated 3/6 plus 2/4 and said the answer equaled 5/10. Amanda solved the same problem and said the answer equaled one w

hole. Whose answer is more reasonable?

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer:

Amanda's

Step-by-step explanation:

Given :

3/6 + 2/4

The L. C. M of 6 and 4 = 12

(6 + 6) / 12

12 / 12

= 1

Renne's result = 5/10

Amanda's result = 1 whole

Hence, Amanda's result makes more sense.

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An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations

Hoochie [10]

Answer:

a) $E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

b) $E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Solution to the problem

Part a

We have the following distribution function:

Y 0 1 2 3

P(Y) 0.45 0.2 0.3 0.05

And we can calculate the expected value with the following formula:

$E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

Part b

For this case the new expected value would be given by:

$E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)$

And replacing we got

$E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

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3 years ago

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KiRa [710]

It would be: -12 + 15x = 3(-4+5x)

So, after common factor out, your answer is 3(-4+5x)

Hope this helps!

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3 years ago