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Vlad1618 [11]
3 years ago
6

He Was Framed!: Jennifer bought a picture frame for a 4" x 6" picture of her boyfriend. The outside of the frame measures 5" x 7

". If the picture fits inside perfectly, how wide is the frame?

Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer:

The picture frame is 0.50 inches wide.

Step-by-step explanation:

Consider the image below.

The inner rectangle represents the image of Jennifer's boyfriend.

And the outer rectangle represents the outside of the picture frame.

The width of the picture frame can be computed by subtracting the measures of the respective sides of the two rectangles.

Compute the width using the breadths of the two rectangles as follows:

Width = (Outer Breadth - Inner Breadth) ÷ 2

          = (5 inches - 4 inches) ÷ 2

          = 1 inch ÷ 2

          = 0.50 inches.

Compute the width using the length of the two rectangles as follows:

Width = (Outer Length - Inner Length) ÷ 2

          = (7 inches - 6 inches) ÷ 2

          = 1 inch ÷ 2

          = 0.50 inches.

Thus, the picture frame is 0.50 inches wide.

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4 years ago
The article "Chances are you know someone with a tattoo, and he's not a sailor" included results from a survey of adults aged 18
4vir4ik [10]

Answer:

a) 0.2

b) 0.28

c) 0.12

d) 0.7

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following table:

                  At Least One Tattoo No Tattoo

Age 18-29 126                              324

Age 30-50 54                               396

So in total, there are

126 + 324 + 54 + 396 = 900 people

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This is the probability that a randomly selected person has a tattoo.

Desired outcomes:

126 + 54 = 180

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Total outcomes:

There are 900 people.

P(tattoo) = 180/900 = 0.2

(B) P(tattoo | age 18-29)

This the probability that a person aged 18-29 has a tattoo

Desired outcomes:

126 people aged 18-29 have tattoos

Total outcomes:

126 + 324 = 450 people aged 18-29

P(tattoo | age 18-29) = 126/450 = 0.28

(C) P(tattoo | age 30-50)

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Desired outcomes:

54 people aged 18-29 have tattoos

Total outcomes:

54 + 396 = 450 people aged 30-50

P(tattoo | age 18-29) = 54/450 = 0.12

(D) P(age 18-29 | tattoo)

The probability that a tattoed person is 18-29.

Desired outcomes:

126 tattoed people are 18-29

Total outcomes

126 + 54 = 180 tattoed people

P(age 18-29 | tattoo) = 126/180 = 0.7

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