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2 years ago

Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?

Mathematics

1 answer:

Elena L [17]2 years ago

8 0

Step-by-step explanation:

If you roll the die once, the probability of getting a 3 is 1/6

If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36

and so on...

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3 years ago

A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangl

kari74 [83]

The answer is b. I just did the question and that is the answer

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3 years ago

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A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.

egoroff_w [7]

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

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3 years ago

Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

$a^2=b^2+c^2-2bc\cdot cos(A)$

Identify angles and sides

$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

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2 years ago

Simplify the rational expression 6x(x+3)(x-2)/3(x-2)(x+9) A) 2x/x-3 B)2x/(x-9) C) 2x(x+3)/(x+9)

Irina-Kira [14]

Answer:

$\large\boxed{C)\ \dfrac{2x(x+3)}{(x+9)}}$

Step-by-step explanation:

$\dfrac{6x(x+3)(x-2)}{3(x-2)(x+9)}=\dfrac{6\!\!\!\!\diagup^2}{3\!\!\!\!\diagup_1}\cdot\dfrac{(x-2)}{(x-2)}\cdot\dfrac{x(x+3)}{(x+9)}=\dfrac{2x(x+3)}{(x+9)}$

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3 years ago

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