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snow_lady [41]
1 year ago
12

A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8%

16.7% 20% 33.3%
Mathematics
1 answer:
Bess [88]1 year ago
4 0

Answer: 2.8%

Step-by-step explanation:

On the first roll, probability to get a 3 is 1/6.

On the second roll probability to get a 4 is also 1/6.

To get both of these numbers together, you need to multiply the two probabilities.

1/6 x 1/6 = 1/36.

1/36 = ~2.8

2.8%

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We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
   h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
   V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³


The volume of the hemispherical part of the figure is given by
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Then the total volume of the figure is
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