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3 years ago

11) A 12-sided dic is rolled. What is the probability of getting a multiple of 3 or a number less than 3?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

8 0

Answer:

6/12

1/2

Step-by-step explanation:

First, we need to find how many multiples of three there are, and how many numbers less than three there are on a 12 sided die.

Multiples of 3: 3, 6, 9 ,12

Less than 3: 2, 1

When calculating the probability of rolling a number, the actual number is arbitrary- instead, you need to know how many of numbers exist to fit the requirements. In this case, it's 6 total. Since there's 12 possibilities on a 12 sided die, the probability would be 6 out of 12. You could also simplify the fraction, but both are equivalent.

I hope this helps!

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20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.

madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

Arrange the equations with like terms in columns
Analyze the coefficients of x or y
Add the equations and solve for the remaining variable
Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

magnitude and different in sign

∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

∴ 2 y = -4

- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

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4 years ago

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loris [4]

Answer:

Step-by-step explanation:

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so:

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almond37 [142]

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3 years ago

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were teste

iogann1982 [59]

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

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Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

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Press OK.

The output is attached below.

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(2)

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(3)

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