The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."
Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.
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the only items in each of containers a, b, and c are 28 disks. in each container, each of the disks is numbered with a different integer from the integers 1 through 28 inclusive. one disk is to be selected at random from each of the 3 containers. what is the probability that at least one of the disks selected has a number greater than 24?
The probability that at least one of the disks selected has a number greater than 24 is 127/343.
To find the probability that at least one of the disks selected has a number greater than 24, we can find the probability that all three disks have numbers less than or equal to 24 and subtract this from 1.
The probability that a disk selected from a container has a number less than or equal to 24
24/28= 6/7
Since,
there are 24 disks with numbers less than or equal to 24 out of a total of 28 disks in each container.
We can assume that the selection of a disk from one container is independent of the selection of a disk from another container, so the probability that all three disks selected have numbers less than or equal to 24 is (6/7)³
since we are making three independent selections.
Therefore,
The probability that at least one of the selected disks has a number greater than 24 is 1 - (6/7)³ ,
which simplifies to 343/343 - 216/343 = 127/343
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y-x²-14x=54
43=y-6x
non linear simultaneous equations
Solution of the system of equations y - x²- 14x = 54 and 43 = y - 6x are
x = -4 ± √5 and y = ± 6√5 + 19
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equations
y - x²- 14x = 54
y = x² + 14x + 54 -------------(1)
43 = y - 6x
y = 6x + 43 ------------(2)
By equation (1) and (2)
6x + 43 = x² + 14x + 54
x² + 14x + 54 - 6x -43 = 0
x² + 8x + 11 = 0
a = 1, b = 8, c = 11
x = (-b ± √(b² - 4ac))/2a
x = (-8 ± √(64 - 4.11))/2
x = -4 ± √16-11
x = -4 ± √5
Putting value of x in equation (2)
y = 6(-4 ± √5) + 43
y = -24 ± 6√5 + 43
y = ± 6√5 + 19
Hence, x = -4 ± √5 and y = ± 6√5 + 19 are the solutions of equations
y - x²- 14x = 54 and 43 = y - 6x.
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pls help asap it’s annoying me
Answer:
b. 53.1°
c. 126.9⁰
Step-by-step explanation:
These are SSA triangles; use Law of Sines to find the unknown angle:
b) sin30/15 = sinA/24
sinA(15) = sin30(24)
sinA = sin30(24)/15 = 0.80
m∠A = sin⁻1(0.80) = 53.1°
c) m∠A = 180 - 53.1 = 126.9⁰
Answer:
∠ BAC = 53.13° , ∠ BAC = 126.87°
Step-by-step explanation:
using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]
where a is the side opposite ∠ A and c is the side opposite ∠ C
here a = BC = 24 and c = AB = 15 , then
[tex]\frac{24}{sinA}[/tex] = [tex]\frac{15}{sin30}[/tex] ( cross- multiply )
15 sinA = 24 sin30° ( divide both sides by 15 )
sin A = [tex]\frac{24sin30}{15}[/tex] , then
A = [tex]sin^{-1}[/tex] ( [tex]\frac{24sin30}{15}[/tex] ) = 53.13°
(b)
acute angle BAC = 53.13°
(c)
the sine of an angle is positive in both the first and second quadrant , so
obtuse angle BAC = 180° - 53.13° = 126.87°
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
Answer:
56 crickets
Step-by-step explanation:
The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 2, and the point B is on ordered pair negative 2, 2. A straight line joins the points A and B.
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (5 points)
C(−2, −1), D(1, −1)
C(−2, −4), D(1, −4)
C(−2, −2), D(1, −2)
C(−2, −5), D(1, −5
I NEEP HELP WITH THIS ONE LISTED BELOW:A solid is composed of squares and equilateral triangles. Its net is shown below:
A triangular prism and its net are shown. The net is three squares with side length 4 units. Attached above and below the middle square are equal sized triangles.
The area of each triangle is 7 square units. The surface area of the triangular prism is
square units. (Input whole number only.) (5 points)
PLEASE
The surface area of the triangular prism is 62 square units.
What is surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.
For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.
The side length of each of the three squares is 4 units.
The area of each would be:
4² = 16 sq. units.
For the three squares we have:
16(3) = 48 sq. units.
The area of each triangle is 7 sq. units.
This means together the area of the two triangles is 2(7) = 14 sq. units.
The surface area of the prism is:
14 + 48 = 62 sq. units.
Hence, the surface area of the triangular prism is 62 square units.
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if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
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Determine if the two are equivalent.choose 3 different values for x and complete the table.Explain your reasoning.X
2(x + 5) + 3x
5x + 10
Answer:
The expressions are identical, as shown by two methods: 1) equation rearrangement and 2) mathematical calculations.
Step-by-step explanation:
2(x + 5) + 3x
Let's simplify this expression.
2(x + 5) + 3x
2x + 10 + 3x [remove parentheses]
5x + 10 [combine like terms]
This matches the other expression.
5x + 10
Several values of x are calculated for both expressions and are shown on the attached table. Each expression results in the same value for a given value of x. This comparison also holds for negative numbers.
The graph of the linear function f(x) = -5x + 6 shows the number of cases of the flu, y, in thousands, x months after a vaccine was administered. What are the rate of change and the initial
value?
A 6,000 cases of the flu per month; initial value: -5,000 cases
B-5 cases of the flu per month; initial value: 6 cases
C 1 case of the flu per month, initial value: 0 cases
D -5,000 cases of the flu per month; initial value: 6,000 cases
Answer:
D
Step-by-step explanation:
The 6 represents the initial value of 6000. The cases are going down 5,000 a month.
Angle QRS is an equilateral triangle. If QR is seven less than twice x, RS is 61 less than five times x, and QS is 11 more than x, find the value of x and the measure of each side
The value of x is 18 and the measure of each side is:
QR = RS = QS = 29
What is called equilateral?An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Now, According to the question:
Angle QRS is an equilateral triangle.
QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.
we have
QR = 2x - 7___(1)
RS = 5x - 61 ___(2)
QS = 11 + x_____(3)
Now, As all the sides of the triangle are equal, therefore
QR = RS = QS
⇒QR = RS
⇒2x - 7 = 5x - 61
⇒ -7 + 61 = 5x - 2x
⇒ 54 = 3x
⇒ x = 18
Put the value of x in above equations:
Thus, the measure of
QR = 2(18) - 7=29,
RS = 5(18) - 61 = 29 and
QS = 11 + 18 = 29.
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round 0.1347 to the nearest tenth
The rounding off the value 0.1347 to the nearest tenth is 0.1
What is rounding off?
When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
The act of rounding off is merely an estimation. Rounding off is the process of estimating an actual number to a close number.
Given, 0.1347 round to the nearest tenth
While rounding to the nearest tenth, the value after the digit has been noticed.
In the number 0.1347, rounding to the nearest tenth, digit 3 should play a role to round the digit 1 which is in the tenth position. 3 is not equal to 5 and less than 5.
So, 0.1347 becomes 0.1
Hence, the required answer is 0.1
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Franny's suitcase weighs 35.7 pounds. Which statement is not true?
A. The 35 represents whole pounds. The 7 represents part of a
pound.
B. The 7 represents more weight than the 5.
OC. The suitcase weighs more than 35 pounds, but less than 36
pounds.
OD. All of these statements are true.
Jody is picking a movie to watch this evening.
Of the movies in her cabinet, 9 are romantic
comedies. She will pick one movie at random.
If the probability of the selected movie being
a romantic comedy is 25%, how many movies
are on the shelf?
The number of movies on the shelf is given as follows:
36 movies.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For this problem, the parameters are given as follows:
Probability of 25% = 1/4.Number of desired outcomes is of 9.Hence the total number of outcomes, representing the number of movies on the shelf, is obtained as follows:
1/4 = 9/x
x = 9 x 4
x = 36 movies.
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Casey Na's average workweek during the first quarter of the year (13 weeks) was 43 hours. As part of his company's perfect attendance program, he earned a bonus of $975. Determine the extra overtime pay due Na for the first quarter
Casey Na is due an extra overtime pay of $1,170 for the first quarter as part of his company's perfect attendance program.
What is overtime pay?
Overtime pay is the additional compensation paid to an employee for any hours worked in excess of the standard working hours or beyond the standard workweek. The rate of overtime pay is usually higher than the regular rate of pay for an employee's normal working hours.
To determine the extra overtime pay due to Casey Na for the first quarter, we need to know his regular pay rate and the number of hours he worked each week.
Let's assume that Casey Na's regular pay rate is $20 per hour and that he worked 40 hours each week during the first quarter. This means that he worked 3 hours of overtime each week, for a total of 39 hours at his regular rate and 3 hours at his overtime rate.
To calculate his overtime pay for the first quarter, we can use the following formula:
Overtime pay = overtime hours x overtime rate
Since Casey Na worked 3 hours of overtime each week for 13 weeks, his total overtime hours for the first quarter were:
Total overtime hours = 3 hours/week x 13 weeks = 39 hours
His overtime rate is 1.5 times his regular rate, or $20 x 1.5 = $30 per hour.
Therefore, his overtime pay for the first quarter was:
Overtime pay = 39 hours x $30/hour = $1,170
Since he also earned a bonus of $975 for perfect attendance, his total extra pay for the first quarter was:
Extra pay = Overtime pay + Bonus = $1,170 + $975 = $2,145
Therefore, Casey Na is due an extra overtime pay of $1,170 for the first quarter as part of his company's perfect attendance program.
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AB and BC form a right angle at point B. If A = (-3-1) and B = (4,4) what is the equation of Bc
Answer: The equation of a line in the form y = mx + b can be found using the slope-intercept form, where m is the slope of the line and b is the y-intercept. To find the equation of BC, we need to find the slope of the line and one point on the line.
The slope of the line can be found using the two points A and B. The slope of the line can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively. Plugging in the values, we get:
m = (4 - (-1)) / (4 - (-3)) = 5 / 7
So the slope of the line BC is 5/7.
One point on the line BC is B = (4, 4), so we can use this point and the slope to find the y-intercept:
b = y - mx
where y and x are the y and x coordinates of point B, respectively. Plugging in the values, we get:
b = 4 - (5/7) * 4 = 4 - 20/7 = -16/7
So the equation of line BC in the slope-intercept form is:
y = (5/7)x - 16/7
Step-by-step explanation:
HELPP!! please!!! asap
Answer:
6 units
Step-by-step explanation:
Since the two angles are equal, this means that the triangle is isosceles. So x+4 = 3x-8. After solving, 2x = 12, x = 6. So AC is 6 units.
Answer: 6 units
Step-by-step explanation:
Since this is an isosceles triangle lines AB and BC are congruent so
x + 4 = 3x - 8 ---- add 8 and subtract x on both sides
12 = 2x ---- divide by 2 to isolate the x
x = 6
Select the correct answer.
What is the justification for step 3 in the solution process?
0.8a - 0.1a = a - 2.5
Step 1: 0.7a = a - 2.5
Step 2: -0.3a = -2.5
Step 3:
a =8.3
O A.
the addition property of equality
O B. the subtraction property of equality
О C.
combining like terms
O D. the division property of equality
Answer: D. the division property of equality
Step-by-step explanation:
In step three you will be dividing -2.5 divided by -0.3 to get a.
What is the radius of a cylinder with a volume of 950 inches to the third power in a height of 10 inches
Answer:
Step-by-step explanation:
Given the volume of a cylinder, V = πr^2h, where r is the radius, h is the height, and π is Pi, we can find the radius by rearranging the equation and solving for r.
V = πr^2h, so r^2 = V / (πh)
Taking the square root of both sides, we have:
r = √(V / (πh))
Substituting the given values:
r = √(950 / (π * 10))
Since Pi is approximately equal to 3.14, we can calculate the approximate value of r:
r = √(950 / (3.14 * 10))
r ≈ 7.46
Therefore, the radius of the cylinder with a volume of 950 cubic inches and a height of 10 inches is approximately 7.46 inches.
what is the rate of change
Estelle is having her birthday party at Gold Frames Art
costs $265
Museum this year. A party package
and covers the entrance fee for guests, a private party room, and an activity
guide. Estelle
upgraded her package to include a favor for each of her 8 guests, bringing the
total to $305.
Answer:
Step-by-step explanation:
im guessing youre finding the price of the favour.
(305-265)/8=answer
"/" means divide.
a statistical method for identifying cost behavior is the:A. Scatter diagram methodB. High-low methodC. Composite methodD. CVP charting methodE. Least-squares regression method
The statistical method that is used for identifying the cost behavior is (e) Least Squares regression method .
The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .
This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.
The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.
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The given question is incomplete , the complete question is
A statistical method for identifying cost behavior is the:
(a) Scatter diagram method
(b) High low method
(c) Composite method
(d) CVP charting method
(e) Least Squares regression method
In the diagram, BA BE and CE CD.
What is mZDAE?
m2DAE =
Submit
B
68⁰
52%
E
mZDAE is a line segment that connects the midpoints of line segments BA and CE. In the diagram, its coordinates are (66⁰, 52%).
Yuki Says that 43 is a 2 digit odd number that is composite is she correct explain
No. The statement given by Yuki that 43 is a 2 digit odd number that is composite is not correct.
A composite number is a positive integer greater than 1 that has more than two positive divisors. In other words, a composite number is a number that can be divided by more than just 1 and itself. For example, 4 is a composite number because it can be divided by 1, 2, and 4.
On the other hand, a prime number is a positive integer greater than 1 that has exactly two positive divisors, 1 and itself. For example, 5 is a prime number because it can be divided only by 1 and 5.
Now, let's consider the number 43. 43 is a two-digit odd number, which means it has two digits and is not divisible by 2. However, 43 is a prime number, which means it has exactly two positive divisors, 1 and 43. Therefore, 43 is not a composite number.
To further verify this, we can check the divisors of 43. The divisors of 43 are 1 and 43, because 43 is not divisible by any other positive integer. Therefore, we can conclude that 43 is a prime number and not a composite number.
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the proper way to construct a stem-and-ieaf display for the data set {62,67,68,73, 73, 79,91,94,95,97} is to
The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).
A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.
Stem | Leaf
6 | 2 7
7 | 3 3 9
9 | 1 4 5 7
For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.
stem | leaf
6 | 2 7
7 | 3 3 9
8 |
9 | 1 4 5 7
Hence, include a stem labeled 8 and enter no leaves on the stem.
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Complete question:
The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to
a)exclude a stem labeled ‘8
b)include a stem labeled ‘8’ and enter no leaves on the stem.
c) include a stem labeled ‘(8)’ and enter no leaves on the stem.
d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.
Which equation has infinitely many solutions?
1/3(6x - 12) = 2(x-2)
1/2(4x+8)=2x+8
3(2x-7)= 6(x-4)-3
5 (2+1)= 3x + 2(x+1)+4
Answer: 1/3(6x-12)=2(x-2)
Step-by-step explanation:
The volume V (in cubic feet) of the pyramid is given by F(x)=-4
The function (x) = (3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards. Write a rule for W.Find and interpret W(5)
The volume is 3315 cubic feet.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given polynomial function is V(x)=x³-4x.
Here, W(x)=V(3x)
Replace x by 3x in the function V(x)=x³-4x, we get
V(3x)=(3x)³-4(3x)
V(3x)=27x³-12x
W(x)=27x³-12x
Replace x by 5 in the function W(x)=27x³-12x, we get
Now, W(5)=27(5)³-12(5)
= 27×125-60
= 3375-60
= 3315 cubic feet
Hence, the volume is 3315 cubic feet.
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"Your question is incomplete, probably the complete question/missing part is:"
A polynomial function V(x)=x³-4x that represents the volume of the right triangle pyramid when measured in cubic feet.
The function (x) =(3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards.
Find a function W(x) that gives us the volume when measured in yards also to find W(5).
2. 20 m 24 m 24 26 m
Note that the body starts "with an initial velocity and moves with uniform acceleration."(Option C)
What is Acceleration?In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
The distance covered by the particle in nth second
Sₙ = u + a/2(2n-1)
S₈ = 20m
S₈ = u + a/2(2x(8-1)
20 = u + 7.5a ...................()
S₉ = 22 = u + a/2(2*9-1)
22 = u + 8.5a ..................(2)
By solving equations 1 and 2 we have :
u=5m/s , a=2m/s²
Thus,
S₁₀ = u+ a/2(2*10-1)
S₁₀ = 5 + 1/2 * 2 (2 * 10-1)
S₁₀ = 5 + 19
S₁₀ = 24m
Thus, it is correct to state that the body starts with the initial velocity and moves with uniform acceleration, and the correct option is C.
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Full Question:
A body covers 20 m, 22 m, 24 m, in 8th, 9th, and 10th seconds respectively. The body starts:
from rest and moves with uniform velocity.
from rest and moves with uniform acceleration.
with an initial velocity and moves with uniform acceleration.
with an initial velocity and moves with uniform velocity.
Select all of the ways the system of equations can be solved.
9x - 2y = 4
3x+8y=12
A) Multiply the first equation by 4, then add the equations.
B) Multiply the second equation by 3, then add the equations.
C) Multiply the first equation by 3, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
E) Multiply the first equation by 4, then subtract the equations.
The ways the system of equations 9x - 2y = 43x+8y=12can be solved are:
A) Multiply the first equation by 4, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
How can the system of equations?From the given equations,9x - 2y = 43x+8y=12we need to use wyas of solving simultaneous equation to solve it.
Then if we Multiply the first equation by 4, thge we can then perform addition to the second equation like
9x - 2y = 4
36x - 8y = 4
3x+8y=12
then if we add to equation 2 we have
39x =12
then we can solve x = 12/39
The same can be done with equation D .
Therefore, option A and D are correct.
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Answer:
Step-by-step explanation:
To solve the system of equations:
9x - 2y = 4 ...(1)
3x + 8y = 12 ...(2)
We can use elimination method by adding or subtracting the equations in a way that one variable is eliminated.
Here are the possible ways to solve the system:
A) Multiply the first equation by 4, then add the equations.
Multiplying the first equation by 4 gives:
36x - 8y = 16
Adding the resulting equation to the second equation gives:
36x - 8y + 3x + 8y = 16 + 12
Simplifying the equation:
39x = 28
x = 28/39
Substituting x in equation (1) gives:
9(28/39) - 2y = 4
Solving for y gives:
y = -155/78
Therefore, the solution is (x,y) = (28/39, -155/78).
B) Multiply the second equation by 3, then add the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Adding the resulting equation to the first equation gives:
9x - 2y + 9x + 24y = 4 + 36
Simplifying the equation:
18x + 22y = 40
Dividing the equation by 2 gives:
9x + 11y = 20
Substituting 9x from equation (2) gives:
3x + 8y = 12
Solving for x gives:
x = (12 - 8y)/3
Substituting x in equation (3) gives:
9[(12-8y)/3] + 11y = 20
Solving for y gives:
y = 16/39
Substituting y in equation (2) gives:
3x + 8(16/39) = 12
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
C) Multiply the first equation by 3, then add the equations.
Multiplying the first equation by 3 gives:
27x - 6y = 12
Adding the resulting equation to the second equation gives:
27x - 6y + 3x + 8y = 12 + 12
Simplifying the equation:
30x = 24
x = 4/5
Substituting x in equation (1) gives:
9(4/5) - 2y = 4
Solving for y gives:
y = -23/10
Therefore, the solution is (x,y) = (4/5, -23/10).
D) Multiply the second equation by 3, then subtract the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Subtracting the second equation from the first equation gives:
6x - 26y = -8
Solving for x gives:
x = (26y - 8)/6
Substituting x in equation (2) gives:
3[(26y-8)/6] + 8y = 12
Solving for y gives:
y = 16/39
Substituting y in equation (1) gives:
9x - 2(16/39) = 4
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $8,000, annual interest: 7%, interest periods: 4, number of years: 10
Please help
18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?
Answer:
Step-by-step explanation:
Sorry cant help 18.85%
*HELP ASAP*
Mr. Mackinson has to choose 2 students to lead the class field trip. If he draws from a list of 6 boys and 6 girls, what is the probabilty of 2 girls getting drawn?
Answer:
The probability of choosing 2 girls from a list of 6 girls and 6 boys can be calculated using combinations.
The number of combinations of choosing 2 girls out of 6 girls is given by the formula: C(6,2) = 6! / (6-2)!2! = 15.
So, the probability of choosing 2 girls is 15 / (C(12,2) = 66) = 15/66 = 5/22.
Therefore, the probability of Mr. Mackinson choosing 2 girls to lead the class field trip is 5/22 or approximately 0.227.
