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max2010maxim [7]
2 years ago
5

Find the volume of a cone with a diameter of 12 m and a height of 6 m.

Mathematics
1 answer:
castortr0y [4]2 years ago
3 0

Answer: D. 72 m

Step-by-step explanation:

The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.

Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.

But be careful, we're not done yet... We still have to divide by 3

216 / 3 = 72

we can be sure this answer is correct because the other answers are clearly too big

here's your answer, hope this helps :)

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Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.
olasank [31]

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9). For a geometric aeatory variable:

P (X> = 10) = 1 - P (X <10) = 0.00002

P (X> = 9) = 1 - P (X <9) = 0.00005

Thus, P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9) = 0.00002 / 0.00005 = 0.4.

6 0
3 years ago
the leaning tower of pisa in italy makes an angle of 86 degrees with the ground. a person standing on the ground approximately 8
Art [367]
See the picture to better understand the problem

we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft

the answer is
181.14 ft

8 0
3 years ago
Read 2 more answers
Multiply.<br> (5x2-6x+2) x (4x2-3x)
stich3 [128]

Answer:

<em>18x² - 84x + 96</em>

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 48x + 18x² - 6x

96 - 84x + 18x²

18x² - 84x + 96

Hope this helps! :)

6 0
3 years ago
There are four roads from A to B and five roads from B to C. In how mamy different ways can a person travel from A to C?
Lelu [443]

That would be 4 * 5 = 20 ways  answer.

3 0
3 years ago
Read 2 more answers
The tree in Kira’s backyard is 9 meters high. How high is it in centimeters?
Serggg [28]

Answer:

900

Step-by-step explanation:

1 meter = 100 centimeters

9 meters=?

9×100÷1 =900

6 0
3 years ago
Read 2 more answers
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