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3 years ago

What is the length of Line segment S R?

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Using Pythagorean theorem.
16^2 + (RT)^2 = 20^2
256 + (RT)^2 = 400
(RT)^2 = 144
RT = 12

Using altitude theorem to find ST:
16/12= 12/ST
16ST = 144
ST = 9

Using Pythagorean theorem again:

12^2 + 9^2 = SR^2
144 + 81 = SR^2
225 = SR^2
SR= 15

Final answer: SR= 15

Hope this helps!

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Step-by-step explanation:

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3 years ago

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agasfer [191]

The quadratic form is ax^2 + bx + c

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Answer:

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

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P(X) 0.5 0.1 0.4

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.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

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