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3 years ago

Garcia wrote the equation y=-0.2x^2+5x-8 to model the path of a soccer ball. What is true about the expression -0.2x^2+5x-8?

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

Step-by-step explanation:

A. The leading coefficient is the number on the highest degree term. We have a 2nd degree polynomial because of the power of 2 on the x. That's what leads this polynomial off. So the leading coefficient is the number stuck to that x-squared term. Our leading coefficient is a -.2, not 5. 5 is the linear term.

B. The constant is the number that doesn't have a variable stuck to it. Our constant, then, is -8, not 2.

C. The expression does in fact have 3 terms. Each term is separated from the other terms by either a plus sign or a minus sign. A polynomial with 3 terms is called a trinomial.

D. The expression actually factors to x = 1.718... and x = 23.281... Neither one of those is the factor given in the statement.

The only one that is true is C.

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Given:
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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:

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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:

X 1060 1400 1620

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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Given:
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