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MariettaO [177]
3 years ago
7

In a cup of 16 pens, 3 are green, 9 are blue, 1 is black, and the rest are red. if a pan is selected at random, what is the prob

ability that it is green or red?
A. 5/8
B. 1/4
C. 3/8
D. 3/4​
Mathematics
2 answers:
evablogger [386]3 years ago
7 0

Answer:

3/8

Step-by-step explanation:

If you add the values 3 green pens plus 3 red pens you get 6 which makes the fraction 6/16 then you simplify and get 3/8

Natalka [10]3 years ago
3 0

Answer:

3/8

Step-by-step explanation:

16-1-9 = 6

6/16 = 3/8

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The other root is 5 + 7i.


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The regression equation for predicting number of speeding tickets (Y) from information about driver age (X) is Y = -.065(X) + 5.
ivolga24 [154]

Answer:

c. 4.27

Step-by-step explanation:

We have been given the regression equation of for predicting number of speeding tickets (Y) from information about driver age (X) as Y=-0.065(X)+5.57.

To find the predicted number of tickets for a twenty-year-old, we will substitute X=20 in our given equation.

Y=-0.065(20)+5.57

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Therefore, the predicted number of tickets for a twenty-year-old would be 4.27 tickets.

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4 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

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Answer:

50 seconds.

Step-by-step explanation:

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