The number of different unique cleaning teams should be 1540.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A class has 10 boys and 12 girls and 3 students are chosen at random.
So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,
= [tex]^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2[/tex].
= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.
= 120 + 220 + 660 + 540.
= 1540.
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Select the correct answer. What is the simplest form of the ratio 11 : 16? A. 1 : 6 B. 5 : 8 C. 11 : 16 D. 22 : 32
Answer:
C. 11:16
Step-by-step explanation:
It is C, it can't go simpler bcs of 11
If m∠ABF=(7b−24)°
and m∠ABE=2b°
, find m∠EBF
.
The measure angle EBF is (5b-24)°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.
From the figure,
m∠ABF =m∠ABE + m∠EBF
(7b-24)°=2b° + m∠EBF
m∠EBF = 7b-24-2b
m∠EBF = (5b-24)°
Therefore, the measure angle EBF is (5b-24)°.
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the sum of a certain infinite geometric series is $2$. the sum of the squares of all the terms is $3$. find the common ratio.
The common ration between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is ( r,a) = ( 1/7, 12/7)
That means { a/ 1-r} = 2
a^2/1-r^2 = 3
2a/ 1+r = 3
2(2-2r)/ 1+r = 3
4-4r= 3+ 3r
7r + 1
r= 1/7
2a/ 8/7 = 3
7a= 12
a= 12/7
so( r,a) = ( 1/7, 12/7)
What is infinite geometric series?
An infinite geometric series is the sum of an infinite geometric sequence. This series would have no last term. The general form of the infinite geometric series is a1 + a1r + a1r2 + a1r3+…, where a1 is the first term and r is the common ratio.
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13 with work please and thank you
The required simplified value of x for the given similar triangles is given as x = 5.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
From the similar triangle property,
The ratio of sides is equal for similar triangles so,
12/[12-8] = 15/x
12/4 = 15/x
x = 15/3
x = 5
Thus, the required simplified value of x for the given similar triangles is given as x = 5.
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based on the data you graphed, what type(s) of cancer appear to have a positive correlation with smoking rates?
The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.
The data graphed showed a positive correlation between smoking rates and lung cancer. The correlation coefficient for the data was 0.99, which is very close to 1. This indicates a strong positive correlation between smoking rates and lung cancer. The formula for calculating the correlation coefficient is r = (NΣxy - (Σx)(Σy)) / √[(NΣx2 - (Σx)2)(NΣy2 - (Σy)2] where r is the correlation coefficient, N is the number of data points, Σx is the sum of all x-values, Σy is the sum of all y-values, Σxy is the sum of the products of the x and y values, and Σx2 and Σy2 are the sums of the squares of the x and y values respectively. The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.
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the base of a solid is the region bounded by the ellipse $$. find the volume of the solid given that cross sections perpendicular to the $$-axis are:
The volume of the solid is 16.75 unit³ in the given line x+2y=8 intercseting the x-axis, the y-axis.
What is volumes of Solids?
We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of a cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of the volumes of the individual solids.
The line x+2y=8.
y = (8-x)/2
Volume will be V = π/2 ∫(r²) dr
So we have 1/3 π * r² * h
Here h = 8, r=2.
So V = 1/3 π * r² * h = 1/3 π * 2² * 8
V = 16.75 unit³
Hence ,the volume of the solid is 16.75 unit³
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you decide to go to the movies with your bestie. tickets to the movie is 13.00$ wednesday special, all snacks are 4.00$. a 32 oz drink cost 6.00$. you bought a ticket one beverage and a few snacks write and solve an equation. how many snacks did you purchase?
Let's assume that the total amount spent on the movie tickets and snacks is represented by x.
We know that:
The movie ticket costs $13.00
The drinks cost $6.00
Therefore, the equation representing the total amount spent is:
x = 13 + 6 + 4y
where y is the number of snacks purchased.
Let's substitute the given value of x:
23 = 13 + 6 + 4y
Subtracting 13 and 6 from both sides:
4 = 4y
Dividing both sides by 4:
y = 1
So, you purchased 1 snack.
i am 100 percent positivw thw answer is 1 snack
Pls help asap ! . . . . . . . . . . .
The solution is (6, 32) and it means that the total cost of 6 kites from 2 different businesses is $32.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph of two lines,
The intersection point is the solution to the two lines system of equations.
Now,
The intersection point = (6, 32)
This means,
x = 6 and y = 32
x = number of kites
y = total cost of the kites
Thus,
The solution is (6, 32).
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Which inequality is equivalent to IX-41 <9?
O-9> x-4 <9
O-9 < x-4<9
O x-4 <-9 or x-4 <9
O x-4>-9 or x-4 < 9
The correct compound inequality is:
x - 4 < 9 or x - 4 > -9
Which inequality is equivelnt to |x - 4| < 9?We want to find a compound inequality equal to the absolute value one below:
|x - 4| < 9
We can break it into two ones, these are:
x - 4 < 9
x - 4 > -9
Solving these two we will get:
x < 9 + 4 = 13
x > -9 + 4 = -5
Then the compound inequality is:
x < 13
x > -5
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Amy's company makes solid balls out of scrap metal for various industrial uses. Her current task is to make a batch of aluminum balls with radius 4.5 in. If she
has a total of 76.302 in
of aluminum, how many balls can she make?
Use 3.14 for I, and do not round your answer.
The number of aluminium balls with a radius of 4.5 in will be 200.
What is the volume of the sphere?The amount of space that a sphere can occupy is measured by its volume. The three-dimensional shape of a sphere lacks vertices and edges.
Given that Amy's company makes solid balls out of scrap metal for various industrial uses. Her current task is to make a batch of aluminium balls with a radius of 4.5 in. The total volume of the aluminium is 76302 cubic inches.
The number of spheres with a radius of 4.5 inches will be calculated as:-
Number = ( Total volume of aluminium) / ( Volume of the small sphere)
The volume of small sphere = ( 4 / 3 ) πr³
The volume of small sphere = ( 4 / 3 ) π x 4.5³
The volume of the small sphere = 381.7 cubic inches
Number = ( Total volume of aluminium) / ( Volume of the small sphere)
Number = 76302 / 381.7
Number = 200
Hence, the number of spheres will be 200.
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consider that in 2019 u.s. household income had a mean of $64,000, a standard deviation of $12,000, and a frequency distribution that was mound-shaped and symmetric. determine the z-score for someone with an income of $40,000. group of answer choices -3.00 -2.00 2.00 3.00
A z-score of -2 means that the income of $40,000 is 2 standard deviations below the mean income of $64,000.
The z-score is a standard measure of how many standard deviations a data point is away from the mean. To determine the z-score, we need to use the formula:
z = (x - μ) / σ
Where x is the data point of interest ($40,000), μ is the mean ($64,000), and σ is the standard deviation ($12,000).
Substituting the values:
z = (40000 - 64000) / 12000
z = -2
Therefore, the z-score for someone with an income of $40,000 is -2.
In conclusion, a z-score of -2 means that the income of $40,000 is 2 standard deviations below the mean income of $64,000.
Hence, the correct answer is B.
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--The given question is incorrect; the correct question is
"Consider that in 2019, U.S. household income had a mean of $64,000, a standard deviation of $12,000, and a frequency distribution that was mound-shaped and symmetric. Determine the z-score for someone with an income of $40,000.
A. -3.00
B. -2.00
C. 2.00
D. 3.00"--
Which of the following terms does NOT apply to rhombus ABCD? Square Kite Parallelogram Trapezoid
Answer: 4) Trapezoid.
Step-by-step explanation:
#1 A rhombus has four equal sides, has opposite angles that are equal, and opposite sides that are parallell.
#2 A rhombus is close to three quadrilaterals that apply to a rhombuses terms, parallel sides, equal sides, equal angles, or opposite angles that are equal are: square, kite, and parallelograms that have the following.
#3 A Trapezoid, however, has four different lengths and different angles. Only one pair of sides from a trapezoid are parallel.
Your welcome, I hope this much information will help you. Good day/night. If the answer incorrect, or there are errors in this explanation, please let me know. Thank you.
Discount vacation is giving a 20% discount on all vacations booked in January. A vacation to Cancun costs $2400 What will the sale price be?
12,000
3,000
1,920
480
Answer:
480
Step-by-step explanation:
Take 20% of 2400
Answer:
1920
Step-by-step explanation:
20% of 2400 = 480
2400-480= 1920
una pared rectangular mide 15/6 de metro de ancho y 22/15 de metro de largo ¿cual es la superficie? fracción simplificada
El area del rectangulo es 11/3 m²
Longitud = 15/6 m
Ancho=22/15 m
Área = Largo × Ancho
= 15/6 × 22/15
= 22/6
= 11/3 m²
Sobre el rectánguloUn rectángulo es una forma plana bidimensional que tiene dos pares de lados paralelos que son paralelos y de la misma longitud, y consta de cuatro ángulos rectos o 90⁰. Esta forma plana también tiene líneas diagonales que tienen la misma longitud.
Propiedades del rectánguloPara comprender mejor las características de los rectángulos y poder explicar las diferencias con otras formas, es importante que los estudiantes conozcan las propiedades de los rectángulos.
Las propiedades de un rectángulo:
Tiene 4 caras, AC, AB, BD y CD Tiene dos pares de lados paralelos e iguales, AC // BD y AB // CD. Tiene 4 ángulos iguales, a saber, 90⁰, ∆A = ∆B = ∆C = ∆D = 90⁰. Tiene dos líneas diagonales de igual longitud, AD = BC Las diagonales del rectángulo se cortan.Obtenga más información sobre el rectángulo en
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a ___ is a quantity that has both length and direction.
Answer:
vector
Step-by-step explanation:
4. Factor the expression completely.
6×3- 4×2 – 16x
A. 0
B. 2x(3×2 – 2x – 8)
C. 2x(3x + 4)(x – 2)
D. 4x(2x + 1)(x – 4)
E. 2x(2×2 + 7x – 4)
6x³ - 4x² - 16x
To factorize the expression first factor out the GCF out
The GCF in the expression is 2x
2x( 3x² - 2x - 8)
Next, Factorize the terms in the bracket
To factorize write - 2x as a difference
2x( 3x² + 4x - 6x - 8)
Factor out x from the expression
2x [ x( 3x + 4) - 6x - 8 ]
Next factor out - 2 from the expression
2x [ x ( 3x + 4) - 2( 3x + 4) ]
Factor out 3x + 4 from the expression
The final answer : 2x( 3x + 4)( x - 2)
Letter C
Justin's football team has a phone tree in case a game is cancelled,
The coach calls 2 players, Then each of those players calls 2 players, and
How many players will be notified during the 2nd round of calls?
EE
Answer: There will be 2 players notified in the 1st round of calls,
Those players will then call two players in the 2nd round of calls.
This second round will yield 2 x 2 = 4 players being contacted.
Therefore, 6 players will be contacted after the second round of calls.
Answer: 18 players will be notified during the 2nd round of calls.
Step-by-step explanation: When doing a simple question like this, just follow these steps: First, do 2x3 which equals 6. Then do 6x3, which equals 18. Then 54, then 162, then 486, and so on.
please help me. it’s a practice assignment and i don’t know what to do.
The population will be 40 thousnd after 22.5 years,and 60 thousand after 34.4 years.
How to estimate the number of years?First, we want to estimate the number of years that takes to reach 40 thousand, to estimate that we need to look at the graph.
We can see that when y = 40, the value of x is between 20 and 25 (almost in the middle)
So here we estimate that the answer is 22.5
b) Now we want to estimate it using the equation
p(x) = 18*e^(0.035*x)
We want to find how many years it takes to reach a population of 60 thousand, then we need to solve:
p(x) = 18*e^(0.035*x) = 60
e^(0.035*x) = 60/18
Using the natural logarithm in both sides:
ln( e^(0.035*x)) = ln(60/18)
0.035*x = ln(60/18)
x = ln(60/18)/0.035 = 34.4
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do teenagers prefer yellow candy or pink candy? two different supplements, which have no effect on taste, are used on identical candies to produce a yellow or pink candy. volunteer teenagers are randomly assigned to either pink candy or yellow candy. the participants are then asked to rate the candy on a 1- to 10-point scale. is blinding demonstrated in this experiment? no, because the volunteers do not know the color candy they are getting no, because the volunteers know whether they are eating yellow candy or pink candy yes, by having the experimenter in a separate room pick one of the two containers at random and having a candy pulled from that container remotely yes, by having the statistician analyzing the results not know which volunteer sampled which candy yes, by having the volunteers wear a blindfold while they eat the candy out of the container so they don't know the color of the candy they are tasting
No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.
What is blinding in an experiment?Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).
Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.
To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.
In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.
As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.
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plss help me i dont understand
Answer:
y = 1/5 x + 5
Step-by-step explanation:
20y- 4x = 100
Slope intercept form is y = mx+b where m is the slope and b is the y-intercept.
Solving the equation for y
20y = 4x+100
Divide each side by 20
y = 4x/20 + 100/20
y = 1/5 x + 5
The slope is 1/5 and the y-intercept is 5
Answer:
y = 3
x = 5
Step-by-step explanation:
hope it helps.
a small apartment has a 11ft by 11ft bedroom, a 4ft by 6ft bathroom, and a single multi-use 15ft by 16ft living room/kitchen. what is the total square footage (area) of the apartment?
The total square footage (area) of the apartment is 385 square feet.
The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.
First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is
=> 11ft * 11ft = 121 square feet.
Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is
=> 4ft * 6ft = 24 square feet.
Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is
=> 15ft * 16ft = 240 square feet.
Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is
=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.
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a process that generates random outcomes is called a. experiment b. population c. probability d. event e. sample
Answer:
C
Step-by-step explanation:
C, probability is the answer
a management dilemma defines the research question. (True or False)
Answer:
False
Step-by-step explanation:
Here is your graph from the previous screen.
A new restaurant charges `\$7` for each burrito, and a `\$5` delivery fee.
Describe how the graph of this new restaurant's burrito delivery would be the same and how it would be different.
The new graph would have the same intercept, however it would always assume lesser values than the old graph due to the new slope being less than the old slope.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the price per burrito.The intercept b represents the delivery fee.Hence the two functions are given as follows:
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If 5 sweaters cost 47.45$, how much would 7 sweaters cost?
Answer:
$66.43
Step-by-step explanation:
47.45$ divided by 5
9.49*7
=66.43
Write an equivalent expression for this, please!
[tex]\frac{3}{4} times(z^{3} times 4)[/tex]
John paid $75.75 for 3 shirts and jayda paid $108.00 for 4 shirts. Who paid less per shirt
Answer:John
Step-by-step explanation: John got 3 shirts each for 25.25
Jayda got 4 shirts each for 27
Find the values of x and y. SHOW YOUR WORK!
The value of 'x' and 'y' in the given diagram are 24° and 25° respectively.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know the sum of linear pair of angles is equal to 180°,
(4x + 9)° +(3y)° = 180°.
We also know that pair of alternate interior angles are equal,
3y° = 75°.
y = 25°.
And (4x + 9)° + 75° = 180°.
4x + 84° = 180°.
4x = 96°.
x = 24°.
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how do you add numbers with exponents
For example: 3(2) + 3(3) =
Answer: To add numbers with exponents, you need to make sure that the bases are the same. Then you can add the exponents.
For example:
3^2 + 3^3 =
9 + 27 =
36
So 3^2 + 3^3 = 36.
Here are a few more examples:
(2^3) + (2^2) =
8 + 4 = 12
(5^2) + (5^3) =
25 + 125 = 150
(4^4) + (4^3) =
256 + 64 = 320
(3^3) + (3^2) =
27 + 9 = 36
(6^4) + (6^3) =
1296 + 216 = 1512
Step-by-step explanation:
a professor gives a statistics exam. the exam has 50 possible points. the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50 calculate the sample size, n, and the sample mean, m.
The sample size, n is 9 and the sample mean, m is 41.33.
The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.
We are asked to determine the sample size(n) and sample mean(m).
Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.
Now, the formula of the sample mean(m) is given as
m = Sum of all observations/Total Number of observations
m = 30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9
m = 372/9
m = 41.33
Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.
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