HIT THE QUANNN AY HIT THE QUANN I SAY GET DOWN LOW AND SPREAD YA ARMS

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle either is in the trapezoid o

Anit [1.1K]

Answer:

$0.06$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

step 1

Find the probability that a point chosen randomly inside the rectangle is in the circle

Find the area of the rectangle

$A=26.2*13=340.6\ in^{2}$

Find the area of the circle

$A=3.14*(2)^{2} =12.56\ in^{2}$

In this problem we have

$x=12.56\ in^{2}\\ y=340.6\ in^{2}$

substitute

$P=\frac{12.56}{340.6}=0.037$

step 2

Find the probability that a point chosen randomly inside the rectangle is in the regular hexagon

Find the area of the regular hexagon

$A=6[\frac{1}{2} (1.8)^{2}sin(60)]=8.42\ in^{2}$

In this problem we have

$x=8.42\ in^{2}\\ y=340.6\ in^{2}$

substitute

$P=\frac{8.42}{340.6}=0.025$

step 3

Find the probability that a point chosen randomly inside the rectangle is either in the circle or in the regular hexagon

Is the sum of the two probabilities

$0.037+0.025=0.062$

Round to the nearest hundredth

$0.062=0.06$

3 0

2 years ago

Shanice is making snack bags for her daughter's field hockey team. She puts 3/4 cup of pretzels, 2/3 of popcorn, 1/3 cup of pean

Fiesta28 [93]

Question is Incomplete;Complete question is given below;

Shonice is making snack bags for her daughters field hockey team she puts 3/4 cup of pretzels, 1/3 cup of peanuts and 1/4 cup of chocolate chips in each bag.

a. she whats 12 snack bags. how much of each ingredient does she need?

b. shonice decides that she would like to make snacks bags for her card club. there is 15 people in the card club. how much of each ingredient will she need?

Answer:

a. Shonice will need 9 cups of pretzels, 4 cups of peanuts and 3 cups of chocolate chips in 12 bags of snack bags.

b. Shonice will need of $11\frac{1}{4}\ cups$ pretzels, 5 cups of peanuts and $3\frac{3}{4}\ cups$ of chocolate chips in 15 people of card club.

Step-by-step explanation:

Given;

Amount of pretzels in each snack bag = $\frac{3}{4}\ cup$

Amount of peanuts in each snack bag = $\frac{1}{3}\ cup$

Amount of chocolate chips in each snack bag = $\frac{1}{4}\ cup$

Solving for part a.

Number of snack bags she wants = 12

We need to find amount of each ingredients required in 12 snack bags.

Solution:

1 bag = $\frac{3}{4}\ cup$ of pretzels

12 bags = Amount of pretzels in 12 snack bag

By using Unitary method we get;

Amount of pretzels in 12 snack bag = $\frac{3}{4}\times12 = 9 \ cups$

Also,

1 bag = $\frac{1}{3}\ cup$ of peanut

12 bags = Amount of peanuts in 12 snack bag

By using Unitary method we get;

Amount of peanuts in 12 snack bag = $\frac{1}{3}\times12 = 4 \ cups$

Also;

1 bag = $\frac{1}{4}\ cup$ of chocolate chips

12 bags = Amount of chocolate chips in 12 snack bag

By using Unitary method we get;

Amount of chocolate chips in 12 snack bag = $\frac{1}{4}\times12 = 3 \ cups$

Hence Shonice will need 9 cups of pretzels, 4 cups of peanuts and 3 cups of chocolate chips in 12 bags of snack bags.

Solving for part b.

Number of snack bags she wants = 15

We need to find amount of each ingredients required in 15 snack bags.

Solution:

1 bag = $\frac{3}{4}\ cup$ of pretzels

15 bags = Amount of pretzels in 15 snack bag

By using Unitary method we get;

Amount of pretzels in 15 snack bag = $\frac{3}{4}\times15 = \frac{45}{4} \ cups\ \ Or \ \ 11\frac{1}{4}\ cups$

Also,

1 bag = $\frac{1}{3}\ cup$ of peanut

15 bags = Amount of peanuts in 15 snack bag

By using Unitary method we get;

Amount of peanuts in 15 snack bag = $\frac{1}{3}\times15 = 5 \ cups$

Also;

1 bag = $\frac{1}{4}\ cup$ of chocolate chips

15 bags = Amount of chocolate chips in 15 snack bag

By using Unitary method we get;

Amount of chocolate chips in 15 snack bag = $\frac{1}{4}\times15 = \frac{15}{4} \ cups \ \ Or \ \ 3\frac{3}{4}\ cups$

Hence Shonice will need of $11\frac{1}{4}\ cups$ pretzels, 5 cups of peanuts and $3\frac{3}{4}\ cups$ of chocolate chips in 15 people of card club.

5 0

2 years ago

What is square root 28 in simplified radical form

kakasveta [241]

Answer:

The answer to your question is 28 = 2 $\sqrt{7}$

Step-by-step explanation:

Data

square $\sqrt{28}$

Process

1.- Find the prime factor of 28

28 2

14 2

7 7

1

28 = 2 x 2 x 7 or 28 = 2² x 7

2.- Write the prime factors inside the square root

$\sqrt{2^{2}7}$

3.- Express the square root as fractional powers

2²/² 7¹/²

4.- Simplify

2 7¹/²

5.- Express 7¹/² as square root

result 2 $\sqrt{7}$

4 0

2 years ago

Hello can anyone help me

Scilla [17]

Answer:

Its a

Step-by-step explanation:

since its moving 2 units to the right its only moving in the x direction so you just add 2 to each value of x

5 0

2 years ago

Cody wants to watch a new movie that is three hours long.

Ne4ueva [31]

Answer:

1/2 of an hour

Step-by-step explanation:

Well firstly we must find the amount of minutes spent watching. Which is 3 * 60 = 180mins.Then we find 1/6 of 180 = 30We now know Cody has watch 30 minute of the movie.To find what fraction this is of an hour we divide it by minutes in an hour:30/60 which is 1/2Therefore the answer is 1/2 of an hour

3 0

3 years ago

Read 2 more answers