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3 years ago

Find the probability of randomly choosing the letter A or E from a board that contains the letters CANDLE.

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

Answer:

Step-by-step explanation:

There are 6 letters all together. There 2 letters that if you draw them, you will be successful.

2/6 = 1/3

That means that 1 in 3 times you should draw an A or an E.

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Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

4 years ago

Read 2 more answers

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

Zina [86]

The answer to the question is b

3 0

3 years ago

Can you Please Help 10 points

Ganezh [65]

Answer:

26.25

Step-by-step explanation:

you just need to count dots on the pencil

6 0

3 years ago

Please round any decimal answers to one decimal place!!

disa [49]

Answer:

1) 11.9

2) 3.6

3) 18.9

4) 45.4

Step-by-step explanation:

Math

6 0

3 years ago

The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)= -4p2+1200p, when the unit price is p dollars.

qaws [65]

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

$\displaystyle x_v=-\frac{b}{2a} \\\\ Where :\\\\ y_v- maximum \ \ income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\ y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \$

4 0

3 years ago