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Alenkinab [10]
3 years ago
12

Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old, how old is Betty?

Mathematics
2 answers:
denis23 [38]3 years ago
8 0

Answer:

42

Step-by-step explanation:

kirill115 [55]3 years ago
3 0

Answer:

42

Step-by-step explanation:

Let Joanne age be x

let betty age by y

. ° . x + y = 60

if joanne is 18

y = 18

x + 18 = 60

x = 60 - 18

x = 42

. ° . betty = 42

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2 years ago
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

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

4 0
3 years ago
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