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DaniilM [7]
4 years ago
7

Cedric has 4 markers, 1 blue pen, and 1 black pen in his pencil pouch. What is the probability that he chooses a pen if he reach

es in without looking to choose one?
Mathematics
1 answer:
Mars2501 [29]4 years ago
5 0

Answer:

5/6

Step-by-step explanation:

The total number of writing utensils is 6, explaining the denominator. the numbers of pens added together is 5, explaining the numerator.

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Graph the line with the equation y = 1/6x-5<br><br> PLEASE HELP
quester [9]

Answer:

Step-by-step explanation:

5 0
3 years ago
At a local Brownsville play production, 420 tickets were sold. The ticket
Dahasolnce [82]

Answer:

jsdcjdvnjkdnjnjdanskcbanknqnjfkrbgiyrwhgondfkv

Step-by-step explanation:

8 0
3 years ago
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
What is the slope of the line shown below?
lina2011 [118]

Answer:

m=4

Step-by-step explanation:

BC i just learned this

6 0
4 years ago
Read 2 more answers
Twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary a
Ksju [112]

Answer:

Shown

Step-by-step explanation:

Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.

Let us consider consecutive numbers in this set.

1+2+3 =6

After this we find the totals are more than 20.

When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.

These totals are greater than 20

Hence shown that some three consecutive players have the sum of their numbers at least 20.

(i.e. starting from if we take)

6 0
3 years ago
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