This composite figure is made up of three simpler shapes. What approximate area of the figure use 3.14 for Pi. A,B,Cor D?

Answer:

B. 24.28 square feet

Step-by-step explanation:

To find the area of the entire composite figure, you will want to find the area of each shape in it and add them up. Personally, I like to start with the easiest one so in this case I would start with the rectangle.

To find the area of the rectangle, you must multiple length and width (l × w or b × h). So you would multiple 4ft by 3ft in this problem. The area of the rectangle then is 12 squared feet (12 ft²).

Next, find the area of the triangle using the formula 1/2×b×h (base= b; height= h). This is because since triangles are basically just squares and rectangles cut in half, all you would do it do the extra step of multiplying it by 1/2. In this problem, after substituting, you would get 1/2(4)(3). The area of the triangle then is 6 squared feet (6 ft²).

Finally, you want to find the area of the semi-circle. To do so, you must use the formula for finding the area of a circle which is π(r)². It is important to pay attention to what is given in the problem because of including the wrong number in your calculations.

In this problem, you are given the diameter of a circle, but what you need is the radius (per the circle area formula) so all you need to do it half it.

Diameter= 2r or Radius = 1/2D

This gives you the fact that the radius of a circle from this problem is 2 because the diameter is 4. HOWEVER, you need to remember that this problem is not asking you to include the area of a circle, it is asking for a semi-circle. This means that you would have to half the answer you get.

There are two easy ways of doing so for this case like:

1/2 π(2)²    1/4 π (2)²  

Just plug either equation into the calculator and have it solved to have the area of the semi-circle.

The last and easiest step is just adding all 3 areas calculated to get the approximate total area of the figure!

Main idea: Experimental and theoretical probability
1. Fill in the blanks to compare experimental and theoretical probability.

If you know all of the possible outcomes of a trial, and all outcomes are equally likely, you can calculate the _______________ probability of a certain event.
The theorical probability of a coin landing on heads is _____%.
You can estimate probability by doing an _______________.
Experimental probability is also called _______________ probability.

2. Fill in the blanks to describe using probability experiments to estimate an unknown probability.

To estimate an unknown probability, _______________ the number of successful trials by the _________________________ of trials.
The more trials you perform, the more _______________ the _______________ tends to be.

3. Complete the steps to show how to estimate probabilities by repeating trials.

4. Anna does not know what colors of blocks are in a bag. She selects a block out of the bag, records its color, and replaces it in the bag. She repeats the process for a total of 50 trials, and then summarizes her data. Find P(yellow), the probability of choosing a yellow block.

Color
Green
Blue
Yellow
Number
18
22
10
Identify successful outcomes as choosing a _______________ block.
Of the 50 trials, _____ were successes.
Based on the data, the estimated probability of choosing yellow is _____. In simplest form, P(yellow) = _____.


Main idea: Conducting experiments
5. Complete the steps to estimate probabilities based on experimental data for this problem.

Marci made a 10-sided object and wrote a number from 0 to 9 on each face. She is not sure all the sides are equal in size, so she doesn't know the probability of rolling each number.

The sample space:
This tally table shows the data Marci collected from 10 rolls of her 10-sided object. Each mark represents one roll of that number. Fill in the estimated probability for each event based on the data after 10 rolls.


Estimated probabilities after 10 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times


Probability







This table shows the data Marci collected from 100 rolls of her 10-sided object. Fill in the estimated probability for each event based on the data after 100 rolls.


Estimated probabilities after 100 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times
6
14
7
13
9
11
8
12
11
9
Probability







Main idea: Estimating probability with relative frequency
6. Barry made four out of five free throws. Complete the table and answer the questions about the relative frequency of free throws made.


Free throws made
Free throws tried
Relative frequency








What is the estimated probability that Barry will make his next free throw? How likely is he to make the shot?





7. Complete the sentences to describe using relative frequency tables to estimate probability.

The probability of an event can be estimated by finding the ____________________ of the event.
The relative frequency is the number of times a(n) _______________ occurs divided by the number of observations.


Main idea: Using probability to approximate frequency
8. Tamara and her sister play a game using a spinner. A typical game involves 136 spins. The probability of spinning each color is . About how many times should Tamara expect the spinner to land on yellow? Let x represent the number of times the spinner lands on yellow.

22,064 ÷ 394 equals what?

Ahat is the area of this quadrilateral?

A,B,C,D

What is the mode of the data represented in this line plot?

Enter your answer in the box.

Solve for x: 24 = -2(r + 9)
HELP

this is a bonus question

I have no clue what this is and I’m gonna get a zero if I don’t finish this. [its literally the last assignment I have for the year]

Find the surface area if the regular pyramid

An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:


Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50


Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.

3 x 7/12 do not simplify pls

WILLL GIVE POINTSSSS

Brainlist to the right answer :)

Write the following in scientific Notation
1. 5,250

2. 1,230,000

Write the following back to standard form

3. 3.42 x 10^6

4. 1.45 x 10^4

WILL MARK BRIANLEST!!!!!!! PLS HURRY!!!!!!!!
What is the surface area of the square pyramid?
6 square meters
16 square meters
28 square meters
49 square meters

Please Help ASAP!!!! (will give brainliest) ^^

A point is missing from the graph of the relation below. The relation is not a function.
help please give right answer

12. Convierte estas fracciones impropias en números mixtos:
A. 15/7=
B. 16/6=
C. 12/5=
D. 48/7
Por favor.

Type a digit that makes this statement true.
2,748,40 is divisible by 4.
Submit

8th grade linear functions, will give brainliest if the steps are listed and explained :)))

How is finding the area of composite two-dimensional figures similar to finding the surface area of three-dimensional figures?

Brainliest if Correct!! Help QUICK....

HELP PLEASE I NEED HELP

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?

A. Group A, because a child in the group has the least forearm length of 10 inches.

B. Group A, because four children have a forearm length longer than 12 inches.

C. Group B, because no child in the group has a forearm length longer than 12 inches.

D. Group B, because five children in the group have the least forearm length of 10 inches.

I N E E D HELPPPPPPPPP its math 30 points pls help!

pls answer I will mark brainliest

One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.



(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
Choose...
.


(B) The expression for total cost described in part A is
Choose...
+
Choose...
.


(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
Choose...
.

PLEASE HELP ASAP 40 POINTS!!!!
The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.

Table 1

people who wear corrective lenses 762
people who wear glasses 638
people who wear contact lenses 124
Part A
What percentage of Americans would you predict wear corrective lenses?

Part B
What percentage of Americans would you predict wear glasses?

Part C
What percentage of Americans would you predict wear contact lenses?

Part D
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?

Part E
Of the 320 million people in the United States, how many would you predict wear glasses?

Part F
How many of the 320 million people in the United States would you predict wear contact lenses?

Question 2
A different random sample of 1,000 people yielded the results recorded in table 2. Use this data to answer the questions that follow.

Table 2

people who wear corrective lenses 745
people who wear glasses 618
people who wear contact lenses 127
Part A
What percentage of Americans would you predict wear corrective lenses?

Part B
What percentage of Americans would you predict wear glasses?
Part C
What percentage of Americans would you predict wear contact lenses?

Part D
How many of the 320 million Americans would you predict wear corrective lenses?

Part E
How many of the 320 million Americans would you predict wear glasses?

Part F
How many of the 320 million Americans would you predict wear contact lenses?

What is the area of the parallelogram?

Without doing any calculations, compare expression A to expression B.

56 × 250 ( 13 × 250 ) + ( 12 × 250 )
Choose the words to complete the comparison.

Expression A is __________ expression B.
A. less than
B. greater than
C. equal to

HELP ME PLEASE!!
REMEMBER TO SHOW ALL WORK
THANK YOU!!