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azamat
3 years ago
7

Trinity created a game that uses a card number 1 to 8 and a six sided cube numbered 1 to 6. Each player chooses one card and roa

sted cubed determine the number of spaces to move on the game board. What is the probability that trinity which is a car greater than six and roll a six on the cube?
A. 1/24

B. 1/18

C. 1/16

D. 1/12
Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

Correct option: A -> 1/24

Step-by-step explanation:

To find the probability of having a card with the value greater than six, the options are: 7 and 8. So there are two options in the total of 8, so the probability is P1 = 2 / 8 = 1/4

The cube has 6 numbers, from 1 to 6, so the probability of rolling a six is P2 = 1/6

To find the final probability, we multiply both probabilities, so:

P = P1 * P2 = (1/4) * (1/6) = 1/24

Correct option: A

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The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
mihalych1998 [28]

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

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Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

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Hence,

4³/5³ = X/10

Cross Multiply

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5 0
3 years ago
De student.cms.k12.nc.us bookmarks
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Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

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2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

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4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

8 0
3 years ago
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