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3 years ago

Factor each completely. 125x^3-27

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

4 0

(5x-3) (25x^2+15x+9)
I hope this helps

zvonat [6]3 years ago

4 0

Hope that's the correct answer
(5x-3)(25x^2+15x+9)

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What percent of 64 is 48?

melisa1 [442]

75%
48/64=.75 thus 75%

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3 years ago

Read 2 more answers

What is the probability that a randomly drawn marble from bag is green. Given that it is not red?

tatiyna

Answer:

The probability is 0.2, or 20%.

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is

N = (number of blue marbles) + (number of green marbles) = 25

and the number of relevant outcomes (marble being green) is n:

n = (number of green marbles) = 5

So, the probability is

P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%

6 0

3 years ago

Tags are attached to the left and right hind legs of a cow in a pasture. Let A1 be the event that the left tag is lost and the e

ioda

Answer:

Step-by-step explanation:

Given that tags are attached to the left and right hind legs of a cow in a pasture. Let A1 be the event that the left tag is lost and the event that the right leg tag is lost. Suppose those two events are independent and A2 the event that the right leg tag is lost. Suppose those two events are independent and P(A1) = P(A2) = 0.3

a) the probability that at least one leg tag is lost

= $P(A_1 U A_2)\\= P(A_1) + P(A_2)-{(A_1 \bigcap A_2)\\=P(A_1) + P(A_2)-{(A_1 )P(A_2)$

(since A1 and A2 are independent)

=0.3+0.3-0.09

=0.51

b) the probability that exactly one tag is lost, given that at least one tag is lost.

= P(one leg lost)/P(atleast one leg lost)

= $P(atleast one leg lost)-P(Both lost)/0.51\\= \frac{0.51-0.09}{0.51} \\=14/17$

c) the probability that exactly one tag is lost, given that at most one tag is lost.

4 0

3 years ago

A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material t

Serhud [2]

Answer with explanation:

Let the length of rectangular fence = x meters

Let the width of the rectangular fence = y meters

Thus

$Area=x\times y=210ft^{2}...........(i)$

Now Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with cost $12 per foot

$\therefore C=5\times (2y+x)+12\times x\\\\C=10y+17x...............(ii)$

Using value of x from the equation i into equation ii we get

$C=10y+17\times \frac{210}{y}$

hence to minimize the cost we differentiate both sides with respect to 'y' and equate the result to zero thus we get

$C=10y+17\times \frac{210}{y}\\\\\frac{dC}{dy}=\frac{d}{dy}(10y+\frac{3570}{y})\\\\0=10-\frac{3570}{y^{2}}\\\\\therefore y=\sqrt{\frac{3570}{10}}=18.894feet$