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2 years ago

Misty has 36 pairs of shoes arranged on a number of shelves

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

It would be 6 shelves because she has 36 pairs of shoes and if she put 6 pairs on it row it would be 6 shelves

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32 lb 12 ounces equals in pounds

Radda [10]

Answer:

32 3/4 lb

Step-by-step explanation:

32 lb 12 oz = ? lb

Rewrite 12 oz as (12/16) lb.

Then:

32 lb 12 oz = 32 lb + (3/4) lb, or 32 3/4 lb

4 0

2 years ago

The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures

Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

of their measures is 90°

- The measure of one angle is six more than half the measure

of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

4 0

2 years ago

A person traveling from Seattle to Sydney has three airlines to choose from. 40% of travelers choose airline A, and this airline

dalvyx [7]

Answer:

46.67% probability that they flew with airline B.

Step-by-step explanation:

We have these following probabilities:

A 40% probability that a traveler chooses airline A.

A 35% probability that a traveled chooses airline B.

A 25% probability that a traveler chooses airline C.

If a passenger chooses airline A, a 10% probability that he arrives late.

If a passenger chooses airline B, a 15% probability that he arrives late.

If a passenger chooses airline C, a 8% probability that he arrives late.

If a randomly selected traveler is on a flight from Seattle which arrives late to Sydney, what is the probability that they flew with airline B?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the traveler flew with airline B, given that he was late?

P(B) is the probability that he flew with airline B.

So $P(B) = 0.35$

P(A/B) is the probability of being late when traveling with airline B. So P(A/B) = 0.15.

P(A) is the probability of being late. This is the sum of 10% of 40%(airline A), 15% of 35%(airline B) and 8% of 25%(airline C).

$P(A) = 0.1*0.4 + 0.15*0.35 + 0.08*0.25 = 0.1125$

Probability

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.35*0.15}{0.1125} = 0.4667$

46.67% probability that they flew with airline B.

5 0

3 years ago

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters. Use 3.14 The volume of the cylinder is Type a

zvonat [6]

<h2><u>Question</u>:-</h2>

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters.

<h2><u>Answer</u>:-</h2>

<h3>Given:-</h3>

$\bullet$ Radius (r) of a cylinder = 3 meters.

$\bullet$ Height (h) of a cylinder = 13 meters.

The volume of a cylinder.

<h2>Solution:-</h2>

We know,

Formula of Volume of a cylinder is πr²h.

So, Volume of a cylinder = 3.14 × (3)² × 13

Volume of a cylinder = 3.14 × 3 × 3 × 13

Volume of a cylinder = 367.38 cubic meters.

<h3>The volume of a cylinder is <u>3</u><u>6</u><u>7</u><u>.</u><u>3</u><u>8</u><u> </u><u>cubic </u><u>meters</u>. [Answer]</h3>

4 0

2 years ago

(-1/2^5)×2^3×(3/4^2) [EVALUATE]

Elis [28]

Step-by-step explanation:

here's the answer to your question

6 0

3 years ago