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3 years ago

Factor the difference of two cubes

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

Since 216=6^3, and (a – b)(a^2 + ab + b^2) is how to factor the difference of a cube (that's the formula), we have (6-x)(6^2+6x+x^2)=(6-x)(36+6x+x^2)

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one

WITCHER [35]

If a pair of fair dice is cast, the probability that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

$\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}$

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.

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4 years ago

find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

7 0

3 years ago

Need help WILl give brainlist if correct! Please

xenn [34]

Answer: is it B?

Step-by-step explanation:

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3 years ago

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Tim is dividing up a 2 ½ pound bag of nuts into smaller portions.

blondinia [14]

9514 1404 393

Answer:

a. 10

b. 5

c. 3 with 1/4 pound left over

Step-by-step explanation:

You can find the number of 1/4 pound bags by dividing 2 1/2 pounds by 1/4 pound. In decimal, this is obvious:

2.5/0.25 = 10

Using fractions, it is ...

(2 1/2)/(1/4) = (5/2)/(1/4) = (10/4)/(1/4) = 10/1 = 10

a) Tim can make 10 1/4-pound bags from 2 1/2 pounds.

b) It is worthwhile to note that a 1/2-pound bag is equivalent to two 1/4-pound bags. So, the number of 1/2-pound bags will be 10/2 = 5.

Tim can make 5 1/2-pound bags from 2 1/2 pounds.

c) It is worthwhile to note that a 3/4-pound bag is equivalent to three 1/4-pound bags. So, the number of 3/4-pound bags will be 10/3 = 3 1/3.

Tim can make 3 3/4-pound bags from 2 1/2 pounds, with 1/4 pound left over.

3 0

3 years ago

A recent survey reveals that of the 250 poodle owners interviewed, 78% of

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Answer: 6,600

Step-by-step explanation:

taking the same

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