The number line that shows the position of each country is added as an attachment
Completing the number lineFrom the question, we have the following parameters to create the number line
Panama = 4 * 10⁶Peru = 3.2 * 10⁷Thailand = 7 * 10⁷See attachment for the label of each tick as a multiple of the power of 10⁷
Next, we represent each country on the number line
See attachment for the completed number line
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HELP MEEEEE PLEASEE PLEASE PLEASE
Answer:
2 Batch Of Cakes
Step-by-step explanation:
See:
Recipe Requirements for 1 Batch:
2 cups of Flour
1/2 cup of Butter
3/4 cup of Sugar
She Has:
8 Cups of Flour
2 Cups of Butter
2 Cups of Sugar
1 batch:
Ingredient : Required - Present
Flour : 2 Cups - 8 Cups
Butter : 50% of 1 Cup - 2 Cups
Sugar : 75% of 1 Cup - 2Cups
Left ingredients:
Flour : 6 Cups
Butter : 1.5 Cups
Sugar : 1.25 Cups
2 batch:
Ingredient : Required - Present
Flour : 2 Cups - 6 Cups
Butter : 50% of 1 Cup - 1.5 Cups
Sugar : 75% of 1 Cup - 1.25 Cups
Left ingredients:
Flour : 4 Cups
Butter : 1 Cup
Sugar : 0.5 ( 1/2 ) Cups
3 Batch:
We Cannot Make The 3rd Batch as There is no sufficient Sugar
Assume a > 0, b > 0 and 1 < ax < bx for all x < 0. Which of the following are true?
a. a < b < 1
b. 1 < a < b
c. a < 1 < b
d. b < a < 1
e. b < 1 < a
Explain how you got to the answer.
Answer:
there is somthing wrong of what you ask
because it is impossible to be thet a>0 and b>0 and x<0 and still ax>1 or bx>1
You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.
Thus, the missing side lengths are :x = 9 feet: y = 6 feet:
Explain about the blue print:A blueprint is a collection of two-dimensional drawings that shows exactly how an architect intends a project to look. Typically, a building's dimensions, materials, and precise location of every component are described in the blueprints.
Given that-
The blue print for the pool of the backyard is prepared which is shown in given diagram.
The given figure consists of the different length measured in feet.To find the each of the missing values subtract the common length from the total length.A figure's longest side is its length, its shortest side is its width, and its highest point is its height.
For the given dimensions in the diagram:
x = 11 + 3 - 5 = 9 ft
y = 8 + 4 - 6 = 6 ft
Thus, the missing side lengths are :x = 9 feet: y = 6 feet:
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Complete question:
You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.
Determine the missing side lengths:x = __ feet: y = ___feet:
Diagram for the question is attached.
In 1940 the average size of a U.S. farm was 174 acres. Let’s say that the standard deviation was 55 acres. Suppose we randomly survey 38 farmers from 1940. The IQR for X is from ___ acres to ___.
Teuta bought a car. Its price fell by 23% at the end of the first year. At the end of the first year, her car cost 6575.8 eu How much did Teuta buy the car?
Teuta bought the car for 8545.71 eu.
What is percent in math?
Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
Let's assume that the initial price of the car is x.
After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x
We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8
Solving for x, we get: x = 6575.8/0.77 8545.71
Therefore, Teuta bought the car for approximately 8545.71 eu.
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A quadrilateral is shown below.
a) Which one of the words below describes
this shape?
Trapezium
Parallelogram Kite
b) Work out the size of angle y.
Rhombus
36°
133⁰
Rectangle
Y
#
Not drawn accurately
PLEASE DO AND DO MY ATHER QUESTIONS
Answer:
y = (360 - 117 - 75) / 2 = 84 degrees
Step-by-step explanation:
a) The shape shown in the image could be described as a kite.
b) Since the opposite angles in a kite are equal, we can find the measure of angle y by subtracting the measures of angles x and z from 360 degrees and then dividing by 2, since the sum of the interior angles of a quadrilateral is always 360 degrees. Thus, we have:
y = (360 - x - z) / 2
We can see from the figure that angle x has a measure of 117 degrees, since it is opposite to angle y in one of the congruent triangles formed by the diagonal of the kite. Similarly, angle z has a measure of 75 degrees, since it is opposite to angle y in the other congruent triangle. Substituting these values into the above equation, we get:
y = (360 - 117 - 75) / 2 = 84 degrees
Therefore, the measure of angle y is 84 degrees.
We can see that opposite sides of the quadrilateral are parallel and equal in length, which indicates that the shape is a parallelogram.
Work out the size of angle y?To find the size of angle y, we can use the fact that opposite angles in a parallelogram are equal. Let's call the angle at the bottom left corner of the parallelogram "x". Then, we know that:
x + y = 180° (because the two angles form a straight line)
We also know that the angle at the top left corner of the parallelogram is equal to x (because opposite angles in a parallelogram are equal). And since the four angles of a quadrilateral add up to 360°, we can write:
2x + 2y = 360°
Simplifying this equation gives:
x + y = 180°
x + y = 180° - x + y
2x = 180° - x
3x = 180°
x = 60°
Now we can substitute x = 60° into the equation x + y = 180° to solve for y:
60° + y = 180°
y = 180° - 60°
y = 120°
Therefore, the size of angle y is 120°.
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Which table represents a nonlinear function?
Answer:
D)
Step-by-step explanation:
The demolition of a condominium development produced 1,425 cubic meters of construction waste. A truck driver works Monday through Friday from 8 am - 4 pm with no
breaks. The dimensions of the driver's truck they can use to haul waste is 8'2" x 9'3" x 18'6", and one round trip to the landfill and back to the demolition site takes the driver an hour. If the driver starts hauling the construction waste to the landfill Monday (10/7) at 8 am, how many more days of work do they have to completely remove the construction waste from the demolition site at noon on Wednesday (10/9)? MUST SHOW ENGINEERING
METHOD BELOW.
What is your calculated answer most closely to?
a. 7 days
b. 4 days
c. 6 days
d. 9 days
Answer:
(c) 6 days
Step-by-step explanation:
First, we need to calculate how many trips the truck can make per day. We will assume that the truck is filled to its maximum capacity on each trip.
The volume of the truck can be calculated by multiplying its dimensions:
8.17 feet x 9.25 feet x 18.5 feet = 1,482.51 cubic feet
We need to convert this to cubic meters:
1,482.51 cubic feet x 0.0283 cubic meters per cubic foot = 42.01 cubic meters
Therefore, each round trip can transport 42.01 cubic meters of construction waste.
To calculate how many trips are required to remove all the waste, we divide the total volume of waste by the volume of waste per trip:
1,425 cubic meters / 42.01 cubic meters per trip = 33.89 trips
Since the driver can make one round trip per hour, it will take approximately 34 hours to transport all the waste to the landfill.
If the driver starts on Monday at 8 am, they will have 8 working hours that day, for a total of 8 trips. On Tuesday and Wednesday, they will have 8 working hours each day, for a total of 16 trips. Therefore, by noon on Wednesday, they will have made 24 trips, leaving 9.89 trips remaining.
Since each day the driver can make 8 trips, they will need approximately 2 more days of work to completely remove the construction waste from the demolition site. Therefore, the answer is (c) 6 days.
Note: This calculation assumes that there are no delays or complications in the transportation process, such as traffic or equipment malfunctions, which could affect the actual time required to remove all the waste.
1. If K(-9,2) lies on the perpendicular bisector of
JL and J is located at (-5.-8), which point could
represent the location of L?
A. (1.-2)
B. (-1,-12)
C. (-3,-2)
D. (-3,-12)
Answer:
To find the location of point L, we need to use the fact that point K lies on the perpendicular bisector of segment JL.
The perpendicular bisector of a segment is a line that passes through the midpoint of the segment and is perpendicular to the segment.
First, we can find the midpoint of segment JL:
Midpoint of JL = ((-5 + x)/2, (-8 + y)/2)
where (x, y) is the location of point L.
Since point K lies on the perpendicular bisector of JL, the line passing through K and the midpoint of JL will be perpendicular to JL.
The slope of the line passing through K and the midpoint of JL is:
m = (2 - (-8))/(-9 - (-5 + x)/2) = 10/(-9 - (5 - x)/2) = -4/(x - 7)
where we have used the fact that the line passing through K and the midpoint of JL is perpendicular to JL, so its slope is the negative reciprocal of the slope of JL.
Now, we can use the fact that the line passing through K and the midpoint of JL contains point K(-9, 2) to write the equation of the line:
y - 2 = m(x + 9)
Substituting the expression we found for m, we get:
y - 2 = (-4/(x - 7))(x + 9)
Simplifying this equation, we get:
y = -4x/ (x - 7) - 2
Now, we can substitute the x-coordinates of the answer choices to see which one gives us a valid y-coordinate:
A. (1, -2): y = -4(1)/(-6) - 2 = -1 --> Incorrect
B. (-1, -12): y = -4(-1)/(-8) - 2 = 1/2 --> Incorrect
C. (-3, -2): y = -4(-3)/(-10) - 2 = 6/5 --> Incorrect
D. (-3, -12): y = -4(-3)/(-10 - 4) - 2 = -26/7 --> Correct
Therefore, the location of point L is (-3, -12), which is answer choice D.
Given m \| nm∥n, find the value of x.
Answer:
x = 15
Step-by-step explanation:
Given m||n, the angles indicated with (6x+20) and (8x-10) are alternate angles and their measures are equal.
So, to find the value of x, we can write the following equation:
8x - 10 = 6x + 20
Transfer like terms to the same side of the equation.8x - 6x = 20 + 10
Add/subtract terms.2x = 30
Divide both sides with 2.x = 15
ill in the blanks below with the correct units.
(a) Keith's house is about 4?
(b) The can of soda held about 350 ?
✓ from school.
(c) Deandre bought a candy bar. Its mass was about 60?
Answer:
a. km
b.350 ml
c.60 gr
Step-by-step explanation:
the units may be bigger though to whats the options is
helpp pls ixl help tyyyy
Answer: Probability: 1.3%
Totals, 51, 155. 0 Accounts: 18. 1 Account: 24. 2 Accounts:18. 3 or more: 42.
2a. Find the volume of the model of Saturn.
2
Eliza made sphere-shaped
models of the Earth and Saturn
out of playdough for a science
project. The model of Earth has
a diameter of 4.8 cm and the
model of Saturn has a diameter
of 45.6 cm.
The volume of the model of Saturn is approximately 4,845.6 cm³.
A cold front moves through the area quickly. In the morning, the temperature is 82
degrees F and after 6 hours the temperature has dropped to 58 degrees F. If the
temperature dropped at a steady rate, how much did it drop each hour?
The temperature dropped by 4 degrees Fahrenheit per hour during the 6-hour period.
What is the drop in temperature?The temperature drop each hour is calculated as follows;
temperature drop per hour = (change in temperature) / (time elapsed)
change in temperature = final temperature - initial temperature
change in temperature = 58 degrees F - 82 degrees F
change in temperature = -24 degrees F
The time elapsed = 6 hours
The change in temperature or drop in temperature is calculated as;
temperature drop per hour = (-24 degrees F) / (6 hours)
temperature drop per hour = -4 degrees F/hour
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I don’t understand can someone help me please!
Answer: y = -|x| - 3
Step-by-step explanation:
It's an absolute value function that has been shifted down 3 and has been reflected
y = -|x| - 3
Y=x^2-4x+8 write the equation in vertex form.
Answer:
y = (x - 2)² + 4
Step-by-step explanation:
y = x² - 4x + 8
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 8
= (x - 2)² + 4 ← in vertex form
Brent is designing a poster that has an area of 1 square foot. He is going to paste a photo collage on a section of the poster that is 1/3 foot wide and 3/5 foot long. What part of a square foot will the photo collage cover?
Show your work.
The part of the foot will the photo collage cover is 1/5 square foot
How to determine the photo collage cover?Recall that an area of a lawn is an area of soil-covered land planted with grasses and other durable plants such as clover which are maintained at a short height with a lawnmower (or sometimes grazing animals) and used for aesthetic and/or recreational purposes
The given parameters are
Area of the Poster =1 sq.ft.
The collage will cover a part of the poster that is
1/5ft wide and 3/5ft long
Area of the Photo Collage Section
=Length X Width
= 1/3 * 3/5
= 3/15 ft = 1/5foot
In conclusion, the photo cover will cover 1/5 of a square foot
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A textbook store sold a combined total of 220 biology and sociology textbooks in a week. The number of biology textbooks sold was 76 more than the number of sociology textbook sold. How many textbooks of each type are sold.
Answer:
144
Step-by-step explanation:
we can use subtraction to solve this, subtracting 220 from 76 ends up with 144
Evaluate and simplify the expression
when x = 5 and z = 3.
2x - 3(x-z)
z - 1
=
[?]
Answer:
The value of the given equation is 2.
Step-by-step explanation:
Evaluate and simplify the expression
when x = 5 and z = 3.
[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]
substituting the given values in the equation :
[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]
[tex]\longrightarrow{\sf{\dfrac{2 \times 5 - 3(5 - 3)}{3 - 1}}}[/tex]
[tex]\longrightarrow{\sf{\dfrac{10 - 3(5 - 3)}{3 - 1}}}[/tex]
[tex]\longrightarrow{\sf{\dfrac{7(2)}{2}}}[/tex]
[tex]\longrightarrow{\sf{\dfrac{7 \times 2}{2}}}[/tex]
[tex]\longrightarrow{\sf{\dfrac{7 \times \cancel{2}}{\cancel{2}}}}[/tex]
[tex]\longrightarrow{\sf{\underline{\underline{2}}}}[/tex]
Hence, the value of the given equation is 2.
————————————————A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Statements which are always true regarding the diagram are
1. m∠5 + m∠6 = 180° ...........Parallel Pair
2. External angle of a triangle is equal to 2+3 = 6.
3. Triangle Sum Property: m2 + m3 + m5 = 180°
Think of ABC as having outside angles.
∠ 1, ∠ 4 , and ∠ 6
Triangle's exterior angle property:
A triangle's exterior angle equals the sum of its internal angles.
Exterior 1 has the following
The exterior angle of a triangle is given by the formula: 1 = 5 + 3.
Similarly,
Exterior 4 consists of
∠ 4 = ∠ 5 + ∠ 2.................Triangle's Exterior Angle
Similarly,
Exterior 6 consists of
The exterior angle of a triangle is given by the formula: 6 = 2 + 3
Property Triangle Sum:
The total of the angles in a triangle equals 180°.
∴ m∠2 + m∠3 + m∠5 = 180° .....Sum Triangle Property
Linear Pair:
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
∴ m∠5 + m∠6 = 180° ...........Linear Pair
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QUICK I’LL MARK YOU BRAINLIEST I NEED HELP SOLVING THIS!!
To solve for the value of x, x is 2.
What is a simple equation?
A given equation which has one unknown variable whose value is to be determined is called a simple equation. This requires the applications of some mathematical principles to know the value of the unknown.
In the given question, the common factor is 25. so divide by 25 to have;
125x - 150 = 100
divide by the common factor, we have;
125x/25 - 150/25 = 100/25
5x - 6 = 4
So that, solve in the usual manner;
5x = 4 + 6
= 10
5x = 10
x = 10/5
= 2
x = 2
After solving the equation, the value of x is 2.
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The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
You wish to make an investment of $5,400 at 5.6% interest. How much will your investment be worth in 25 years at simple interest, compounded quarterly, and compounded continuously?
simple interest:
compounded quarterly:
compounded continuously:
Simple interest = $12,9600
Compounded quarterly = $12,9600
and compounded continuously = $21,686.49
What is simple interest?
Simple interest, often known as the yearly interest rate, is an annual payment based on a percentage of borrowed or saved money.
Here, we have
Given:
Investment = $5,400 at 5.6% interest.
t = 25 years
Final amount at simple interest: F = P(1+rt)
F = 5400(1+0.056×25)
F = 5400(2.4)
F = $12,9600
Final amount at compound interest: F= P(1+r/n)ⁿˣ
compounded quarterly(n=4)
F = P(1+r/n)ⁿˣ
F = 5400(1+0.056/4)⁴⁽²⁵⁾
F = 5400(1.014)¹⁰⁰
F = $21,686.49
Final amount at continuously compound interest: F= Peⁿˣ
F = 5400 e¹°⁴
F = $21,898
Hence,
simple interest = $12,9600
compounded quarterly = $12,9600
and compounded continuously = $21,686.49
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Write (x - 3)(x + 6) in vertex form (y = (x - h)2 + k). Hint: Expand then complete the square.
(x - 3)(x + 6) can be written in vertex form as y = (x - (-3/2))² - 20.25
What is the vertex form?
The vertex form of a quadratic function is a way of writing a quadratic function in form f(x) = a(x - h)² + k where (h, k) is the vertex of the parabola, a is a coefficient that determines the shape and direction of the parabola, and x is the input variable.
Expanding (x - 3)(x + 6), we get:
x² + 6x - 3x - 18 = x² + 3x - 18
To write this expression in vertex form, we need to complete the square. To do this, we add and subtract (3/2)² = 2.25 inside the parentheses:
x² + 3x - 18 + 2.25 - 2.25 = (x² + 3x + 2.25) - 20.25
Now, we can write the expression in vertex form:
y = (x - (-3/2))² - 20.25
Therefore, (x - 3)(x + 6) can be written in vertex form as:
y = (x - (-3/2))² - 20.25
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The 9th grade students are taking a field trip. There are 380 ninth graders and a bus can seat up to 60 students. Write a piecewise function to represent the number of buses
needed, y, if x students attend the field trip.
Hence, the piece-wise function to represent the number of buses required to transport 380, 9th graders is :
f(x) = { 1, if 0 < 380 ≤60x
2, if 60x < 380≤120x
3, if 120x < 380≤180x
4, if 180x < 380 ≤ 240x
5, if 240x < 380≤300x
6, if 300x < 380 ≤ 360x
7, if 360x < 380 }
What is the piece-wise function?
In mathematics, a piece-wise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piece-wise definition is actually a way of expressing the function, rather than a characteristic of the function itself.
How do you compute the piece-wise function?Let 'x' be the number of buses required to transport all the 9th graders. We can write the function in two parts, for 1st part when the number of students is less than or equal to 60 ( that is the capacity of one bus) and for 2nd part when it is greater than 60.
For x buses, each with a capacity of 60, we have:
If 0 < 380 ≤ 60 x, then x = 1 bus is needed to transport all students.If 60 x < 380 ≤ 120 x, then x = 2 buses are needed to transport all students.If 120 x < 380≤ 180 x, then x = 3 buses are needed to transport all students.If 180 x < 380≤240 x, then x = 4 buses are needed to transport all students.If 240 x < 380≤300 x, then x = 5 buses are needed to transport all students.If 300 x < 380 ≤ 360 x, then x = 6 buses are needed to transport all students.If 360 x < 380, then x = 7 buses are needed to transport all students.Therefore, the piece-wise function to represent the number of buses required to transport 380, 9th graders is :
f(x) = { 1, if 0 < 380 ≤60x
2, if 60x < 380≤120x
3, if 120x < 380≤180x
4, if 180x < 380 ≤ 240x
5, if 240x < 380≤300x
6, if 300x < 380 ≤ 360x
7, if 360x < 380 }
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why is creativity important in construction scientific questions
Answer:Creativity is important in constructing scientific questions because the obvious questions do not always lead to interesting results. Scientists need to be able to think outside the box and come up with new and original questions to investigate.
Step-by-step explanation:
What is the effective annual rate of an account that pays interest at the nominal rate of
7% per year, compounded daily? Compounded hourly?
Answer:
To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:
EAR = (1 + r/n)^n - 1
where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.
For daily compounding, n = 365 (since there are 365 days in a year), so we have:
EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%
To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:
EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%
Therefore, the effective annual rate for hourly compounding is approximately 7.27%.
30m3n4-5m4complete factored form of the polynomial
Factor of polynomial m are 0, 6n⁴.
What is polynomial in maths?
A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.
= 30m³n⁴ - 5m⁴
= 5m³(6n⁴ - m )
let 5m³(6n⁴ - m ) = 0
5m³ = 0
m = 0
6n⁴ - m = 0
m = 6n⁴
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please help me find this which one
Answer:
A
Step-by-step explanation:
Self explanatory
Answer: b
Step-by-step explanation: i just did this one on a algebra 1b assignment lol
alec makes 75 percent of his free throws he wants to know the probability that he makes at least 4 equal sections and lets the numbers 1-3 represent making a free throw
The probability that Alex makes at least four free throws in the next six attempts is 9/15 or 0.6.
What is the probability?The probability is determined from the simulation as follows:
Alec spins a spinner with four equal sections and lets the numbers 1-3 represent making a free throw.
The number of spins that result in Alec making at least four free throws in the next six attempts is given below:
232344: Alec makes 3 free throws, not successful.231342: Alec makes 3 free throws, not successful.121123: Alec makes 4 free throws, successful.441432: Alec makes 4 free throws, successful.311221: Alec makes 3 free throws, not successful.343133: Alec makes 4 free throws, successful.341414: Alec makes 4 free throws, successful.412312: Alec makes 4 free throws, successful.141111: Alec makes 3 free throws, not successful.423131: Alec makes 4 free throws, successful.432234: Alec makes 5 free throws, successful.143132: Alec makes 4 free throws, successful.423233: Alec makes 5 free throws, successful.411332: Alec makes 4 free throws, successful.143314: Alec makes 4 free throws, successful.9 out of the 15 spins resulted in Alec making at least four free throws in the next six attempts.
The probability based on the simulation = 9/15 or 0.6
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Complete question:
Alec makes 75% of his free throws. He wants to know the probability that he makes at least four of his next six free throws. Alec runs a simulation. He spins a spinner with four equal sections and lets the numbers 1-3 represent making a free throw. Based on the simulation, what is the probability that Alec makes at least four of his next free throws? Explain.
232344
231342
121123
441432
311221
343133
341414
412312
141111
423131
432234
143132
423233
411332
143314