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zzz [600]
3 years ago
5

Help please with these questions

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

1. There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.

2. There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.

3. There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.

Step-by-step explanation:

<u><em>Question 1</em></u>

Add all the marbles together.

3 + 2 = 5

4 + 2 = 6

Make a fraction.

blue/all

Use it on the numbers.

3/5

2/6

Multiply them together.

6/30

Simplify.

1/5

There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.

<u><em>Question 2</em></u>

Add all the numbers together.

There are 8.

Make the two crucial fractions.

ones/all

twos/all

Use them.

3/8

2/8

Multiply them together.

6/64

Simplify.

3/32

There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.

<u><em>Question 3</em></u>

Find the factors of 12.

1, 2, 3, 4, 6

Make a fraction.

factors/all

Use the fraction.

5/6

Find the odd numbers.

1, 3, 5

Make a fraction.

odd/all

Use the fraction.

3/6

Multiply them together.

15/36

Simplify.

5/12

There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.

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1x x 1 = 1x

12x^5 + 3x^3 + 8x^4 + 2x^2 + 4x^3 + 1x

Simplify

12x^5 + 7x^3 + 8x^4 + 2x^2 + 1x

Thus, answer is B

Hope this helps!

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Step-by-step explanation:

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A recipe calls for 2 1/5 cups of chopped tomatoes and 3 2/5 cups of diced turnips how many more cups of turnips did the recipe c
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Read 2 more answers
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the
maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that a = 0.95, b = 1.05

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

P(X > x) = 0.9

So

\frac{1.05 - x}{1.05 - 0.95} = 0.9

1.05 - x = 0.9*0.1

x = 1.05 - 0.9*0.1

x = 0.96

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0
3 years ago
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