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3 years ago

Help please with these questions

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

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

2. There is a 3/32 chance you will get a 1 and then a 2.

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

Step-by-step explanation:

Question 1

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 1/5 chance you will get a blue one from both bags.

Question 2

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 3/32 chance you will get a 1 and then a 2.

Question 3

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 5/12 chance of rolling a factor of 12 and then an odd number.

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Step-by-step explanation:

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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:

$P(X > x) = 0.9$

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

$1.05 - x = 0.9*0.1$

$x = 1.05 - 0.9*0.1$

$x = 0.96$

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

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3 years ago