Hay un total de 2730 combinaciones posibles.
¿Qué es permutación y combinación?Las permutaciones y combinaciones forman principios de conteo, que se aplican en muchas situaciones diferentes. Una permutación es el número de arreglos diferentes que se pueden hacer a partir de un conjunto dado. Cuando se trata de permutaciones, los detalles importan porque el orden o el orden importan. Este orden en el que escribe los nombres de los países es importante, ya que escribir los nombres de los tres países {EE. UU., Brasil, Australia} o {Australia, EE. UU., Brasil) o {Brasil, Australia, EE. UU.} es diferente. En combinación, los nombres de los tres países son solo un grupo, y el orden o secuencia no importa. Obtenga más información sobre permutaciones y combinaciones en el siguiente contenido. Las permutaciones y las combinaciones son métodos que se utilizan para contar el número de resultados posibles en diversas situaciones. Las permutaciones se entienden como arreglos y las combinaciones se entienden como alternativas. Siguiendo los principios básicos del conteo, hay reglas de suma y reglas de multiplicación para una fácil aplicación del conteo. Supongamos que hay 14 niños y 9 niñas. Al elegir un niño o una niña como maestro de salón, el maestro de salón puede elegir 1 de cada 14 niños y 1 de cada 9 niñas. Puede hacerlo en sus 14 + 9 = 23 maneras (usando la regla de la suma de conteo).Cálculoen carrera de 15 caballos si se consideran 3 posiciones
entonces número de combinaciones posibles = 15 * 14 * 13 = 2730 combinaciones posibles
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Please help I was sick and missed out on class.Thank you
The slope is -5/3
From the question, we have
slope, m = change in y/change in x
= (-6+1)/(8-5)
=-5/3
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Slope of a Line :
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
As a result, m = change in y/change in x = y/x is the formula for the change in y-coordinate with respect to the change in x-coordinate.
where "m" represents a line's slope.
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
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A spinner contains the numbers 1 through 75. What is the probability that the spinner will land on a number that is not between 16 and 25, inclusive?
The probability that the spinner would land on a number that is not between 16 and 25 as required in the task content is; 13 / 15.
What is the probability that the spinner would land on a number that is not between 16 and 25?It follows from the task content that the probability that the spinner would land on a number that is not between 16 and 25, inclusive be determined.
Since the spinner contains 1 through 75, the number of event in the sample space is; 75 events.
Also, the number of events between 16 and 25, inclusive is; 10.
Therefore, the number of events outside 16 through 25 is; 75 - 10 = 65.
Therefore, the required probability that the spinner would land on a number that is not between 16 and 25 is;
= 65 / 75
= 13 / 15.
Therefore, the required probability is; 13 / 15.
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Answer:
Step-by-step explanation:
IXL Please Help Fast!
Suppose that the equations of line [tex]C[/tex] and [tex]D[/tex] are as follows;
[tex]C=a_{1}x+b{_1}y+c_{1}[/tex][tex]D=a_{2}x+b_{2}y+c_{2}[/tex]If these two lines are parallel to each other, the following equality must be satisfied.
[tex]\frac{a_{1}}{b_{1}} =\frac{a_{2}}{b_{2}}\neq \frac{c_{1}}{c_{2}}[/tex]In summary, the slope of the two lines must be equal to each other.
[tex]m_{C}=m_{D}[/tex]We know the equation of line [tex]C[/tex]. Then let us form the equation of line [tex]D[/tex].
[tex]C=x+7y-14[/tex][tex]D=x+7y+c_{1}[/tex]We must find the variable [tex]c_{1}[/tex] by placing the given point [tex](-3,-1).[/tex]
[tex]-3+7(-1)+c_{1}=0[/tex][tex]c_{1}=10[/tex]If we write it in slope-intercept form, the correct answer will be as follows;
[tex]y=-\frac{x}{7} -\frac{10}{7}[/tex]The graph of a quadratic function with vertex (2, 0) is shown in the figure below.
Find the range and the domain.
Write the range and domain using Interval notation.
Answer:
Domain: (-∞, +∞)
Range: [2, +∞)
Step-by-step explanation:
Domain is the "allowable x-values/inputs"
Range is the "possible y-values/outputs when the x-values in the domain are inputted".
From the graph, notice how each end of it extends infinitely to the left and to the right. This means that the domain is infinite and there are no restrictions. Writing it in interval location would look like this:
(-∞, +∞)
Also, notice how the y-values increase from the vertex but do not go below it. That suggests that the range is "lower-bounded" to the vertex, and increases infinitely. Writing it in interval location would look like this:
[2, +∞)
Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard deviation 19.5. Find the first quartile Q,, which is the IQ score separating the bottom 25% from
the top 75%. (Hint: Draw a graph)
The first quartile is
86.135 is the IQ score separating the bottom 25% from the top 75%.
The number between a data set's lowest and median is known as the first quartile. We would utilize a Z table to locate it.
As we are looking on the left side of distribution, value of z-score will be negative.
z-score equation for x : [tex]z = \frac{x-M}{S}[/tex]
[tex]x = zS+M[/tex]
where x = value we're looking for
M = Mean
= 99.2
S = Standard deviation
= 19.5
z = z-score
= -0.67
Putting the value in equation,
x = -0.67*19.5 + 99.2
= -13.065 + 99.2
= 86.135
Hence, 86.135 is the IQ score separating the bottom 25% from the top 75%.
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(Multiplying and Dividing with Scientific Notation MC)
3.185x10¹7
9.1x108
Divide
Write the final answer in scientific notation.
The correct answer or scientific notation when 3.185× 10¹⁷ is divided by 9.1×10⁸ is 3.46×10⁸ and multiplying 3.185× 10¹⁷ with 9.1×10⁸ is 2.9×10²⁶.
It is given in the question that 3.185× 10¹⁷ is divided by 9.1×10⁸
we can write 3.185×10×10¹⁶ which equals 31.5×10¹⁶.
Now dividing 31.5×10¹⁶ by 9.1×10⁸ we get 3.46×10⁸.
Now multiplying 3.185× 10¹⁷ with 9.1×10⁸ we get 28.98×10²⁵
Converting 28.98×10²⁵ in scientific notation we get 2.9×10²⁶.
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation and known as standard form in the UK .
In scientific notation, a representation of a number that is a power of ten can also be written with equal ease. Additionally, you'll see that the amount of zeros in a regular decimal expression is exactly equal to the power to which 10 is raised.
Any time a number is expressed in words, it must first be written down as a regular decimal number before being converted. "Ten million" becomes "10,000,000" and vice versa.Ten million is written in powers of ten notation because there are seven zeros in all.
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Earn 100 points if you give right answer.
Answer:
Conveyor belt 1 is fasterStep-by-step explanation:
GivenConveyor belt1: m(x) = 157.1xFind the equation of p(x) using table.
We see it is a proportional relationship, therefore:
p(x) = kx125.6 = 2kk = 125.6/2k = 62.8Conveyor belt2: p(x) = 62.8x
As we see 157.1 > 62.8 which means conveyor 1 belt is faster.
Answer:
The conveyor belt 1 is faster.
Step-by-step explanation:
Speed of conveyor belt 1,
→ m(x) = 157.1x
Now the speed of conveyor belt 2,
→ p(x) = x
→ p(125.6) = 2x || p(188.4) = 3x
→ x = 125.6/2 || x = 188.4/3
→ [ p(x) = 62.8 ] || [ p(x) = 62.8 ]
Then the fastest conveyor is,
→ m(x) = 157.1x > p(x) = 62.8
→ 157.1x > 62.8
→ Conveyor 1 > Conveyor 2
Hence, the conveyor belt 1 is faster.
y is directly proportional to x3 When x = 10, y = 250
(a) Find a formula for y in terms of x.
Answer:
y = 0.25x³
Step-by-step explanation:
Since y is directly proportional to x³, then y = kx³, where k is a constant.
When x = 10, y = 250,
250 = k(10)³
1000k = 250
∴ k = 0.25
∴ y = 0.25x³
Eva needs to lease out a music studio to record her new album. The studio charges an
hourly fee of $50 and an initial studio-use fee of $100. Make a table of values and
then write an equation for P, in terms of t, representing the amount of money Eva
would have to pay to use the studio for t hours?
Answer:
Equation:
50t + 100 = P
Table:
T P
0 100
1 150
2 200
3 250
4 300
Step-by-step explanation:
$100 - starting value because it is the initial studio use fee
50t - since 50 dollars is the hourly fee, you have to multiply it by t (time)
Find the quotient. 5 divided by 1/4
Answer:
5 : (1/4) = 201 = 20
Step-by-step explanation:
18. Vocabulary Use Distributive or Commutative to complete the definition.
According to the __________ Property of Multiplication, factors can be multiplied in any order and the product remains the same.
The correct vocabulary for the definition is Commutative.
Commutative property states that the result remains the same even if the order of the numbers are changed during operation.
For multiplication,
[tex]a*b=b*a[/tex]
Thus, the correct vocabulary for the definition is Commutative.
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Look at this graph.
y
x
10
20
30
40
50
60
70
80
90
100
10
20
30
40
50
60
70
80
90
100
0
What is the equation of the line in slope-intercept form?
The slope-intercept definition of the linear function is given as follows:
y = x + 2.
What is the slope-intercept representation of a linear function?The slope-intercept representation of a linear function is obtained by the rule presented as follows:
y = mx + b.
The coefficients of the function, along with their meaning, are shown as follows:
m is the slope of the function, which is the amount by which the function changes when the input x changes by 1.b is the y-intercept of the function, which is the value of y at which the function changes the function crosses the y-axis, that is, when x = 0.For this problem, the values of these coefficients are given as follows:
b = 2, as the function crosses the y-axis at y = 2.m = 1, as when x increases by 1, y increases by 1.Hence the slope-intercept rule for the function is:
y = x + 2.
Missing InformationThe graph of the linear function is given by the image shown at the end of the answer.
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I need assistance with this math assignment
Answer:
t=1.33333 seconds
Step-by-step explanation:
1. We are give the the position function, s(t). We must differentiate s(t) twice in order to find the acceleration function, a(t).
s(t) = t⁶-2t⁵
Taking the power rule to differentiate s(t), we find the velocity function, v(t).
v(t) = d/dt (t⁶-2t⁵)
v(t) = 6t⁵-10t⁴
Differentiate v(t) using the power rule again to find the acceleration function, a(t).
a(t) = d/dt (6t⁵-10t⁴)
a(t) = 30t⁴-40t³
2. To find the other t value where acceleration is equal to zero, we must set a(t) to zero.
a(t) = 30t⁴-40t³ = 0
3. Algebraically solve for t. Factoring out 10t³ from a(t), we have:
10t³(3t-4)=0
Our solutions are t=0 and t=4/3.
The other value of t when acceleration is equal to zero is 4/3, or 1.33333 seconds.
I really need help step by step please
Answer:
190 cm²
Step-by-step explanation:
Area of prism:Area of one regular hexagon is given. Multiply 23 *2 and it will give the area of two regular hexagons.
There are 6 rectangles. Find the area of one rectangle and multiply it by 6.
Area of regular hexagon = 23 cm²
Area of rectangle = length * width
= 8 * 3
= 24 cm²
Area of the regular hexagon prism = 2* area of regular hexagon + 6*area of rectangle.
= 2*23 + 6*24
= 46 + 144
= 190 cm²
Round your answer to the nearest whole number. Do not include any decimals of % signs in your answer.
In a video game, to cause damage to the final boss, you must attack him with back to back critical hits. Based on your current gear in the game, you only have a 33% chance of attacking with a critical hit.
What is the probability that your first strike will be a critical hit?
What is the probability that your first strike was not a critical hit?
What is the probability that your first strike was a critical hit but not your second strike?
What is the probability that you are able to cause damage?
What is the probability that your strike was not critical but your next 2 attacks were?
The probabilities in this problem are given as follows:
First strike is a critical hit: 33%.First strike is not a critical hit: 67%.First strike is critical and the second is not: 22%.Cause damage: 11%Not critical followed by two criticals: 7%.What are the probabilities?The probabilities for each strike are given as follows:
Critical hit: 33%.Not a critical hit: 67%, as 100 - 33 = 67.The probabilities are independent, meaning that for each trial they are the same.
Thus the probability that your first strike was a critical hit but not your second strike is obtained as follows:
P = 0.33 x 0.67 = 0.2211 = 22%. (rounded).
Damage is caused with two consecutive critical hits, hence:
p = 0.33 x 0.33 = 0.11 = 11%.
The final probability, that your strike was not critical but your next 2 attacks were, is obtained as follows:
p = 0.67 x 0.33 x 0.33 = 0.07 = 7%.
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Hi everybody, I'm having trouble with this problem. What is 2,456.75 plus 4.75 x 32
(Please show work) Thank you!
Answer:
Step-by-step explanation:
4.75 x 32=152
2,456.75+152=2608.75
Answer:
2608.75
Step-by-step explanation:
4.75 x 32 = 152
2456.75 + 152 = 2608.75
The quadratic expression x^2+7x+N can be factored as (x+g)(x+h)(x+g), where N, g, and h are integers.
Prod wrote that N can be equal to -18.
Eleanor wrote that N can be equal to 13.
Assuming Pod wrote that N could be equal to -18, Pod is correct.
What are Quadratic Equations?
A quadratic equation is an equation with a variable to the second power as its highest power term.
The Standard Form of a Quadratic Equation:
ax² + bx + c = 0
where:
x represents an unknown (variable)a, b, and c represent known numbers, where a ≠ 0x² + 7x - 18 = (x + 9)(x - 2) . . . . . g = 9, h = -2
There are no integer factors of 13 that add to give 7. 13 is prime, so the sum of its integer factors is 1+13 = 14.
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Need help again filling in the table?
Answer:
1.y=-16
2.y=-10
3.y=-4
4.y=2
hope ut helps!
have a nice night
A line with a slope of -7/16 passes through the point (-16, 7). What is its equation in
slope-intercept form?
A equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x
We know that the formula for the slope-point form of equation of line:
(y - y1) = m(x - x1)
Let (x1, y1) = (-16, 7)
and slope m = -7/16
Using above formula,
(y - 7) = (-7/16)(x - (-16))
y - 7 = (-7/16)(x + 16)
y = -7/16x - 7 + 7
y = (-7/16)x
This equation is slope-intercept form (y = mx + c) with slope -7/16 and y-intercept 0.
Therefore, a equation of line with a slope of -7/16 passes through the point (-16, 7) is y = (-7/16)x
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ILL GIVE BRAINLIEST IF CORRECT
Answer:
(-6,4)
Step-by-step explanation:
add the equations together to equal
2y=8
y=4
now solve for x
3x+10(4)=22
3x+40=22
3x=-18
x=-6
Answer:
(-6,4)
Step-by-step explanation:
add the equations together to equal
2y=8
y=4
now solve for x
3x+10(4)=22
3x+40=22
3x=-18
x=-6
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
slope: 45, ordered pair: (0,94)
Answer:
[tex] \huge{ \bold{y = 45x + 94}}[/tex]
Step-by-step explanation:
Equation of a line in slope-intercept form is represented by
[tex]y = mx + c[/tex]
where
m is the slope
c is the y intercept
From the question
m = 45
In order to find c we substitute the point (0,94) into the equation y = mx + c
That's
[tex]94 = 45(0) + c \\ 94 = 0 + c \\ c = 94[/tex]
We now substitute m and c into the equation
We have the final answer as
[tex] \bold{y = 45x + 94}[/tex]
Hope this helps you
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3 c greater-than-or-equal-to 240. Which graph represents this inequality?
The number of chocolate bars, c, the sports club must sell in order to reach their goal is 80
The graph which represent the inequality 3c ≥ 240 is attached in the picture.What is the number of chocolate bars that must be sold to reach their goal?An inequality refers to a statement that has two quantities in which one is specifically less than (or greater than) another. Symbols of inequality includes:
Greater than >Less than <Equal to =Greater than or equal to ≥Less than or equal to ≤Let
The number of chocolate bars = cThe inequality that represent the situation is given by
3c ≥ 240
divide both sides by 3c ≥ 240/3
c ≥ 80
Therefore, all real whole numbers greater than or equal to 80 is the number of chocolate bars, c, the sports club must sell in order to reach their goal.
The shaded area to the right of the solid line c = 80 is the graph which represent the inequality.
Complete question:
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3c > 240. Which graph represents this inequality?
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Is it possible for a number to be a product of 2, a product of 5,
and a product of 10? Explain.
The possible number is 10 which is a product of 2, 5, 10
LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is defined as the least common multiple. It is also known as the Least Common Divisor (LCD). For example, LCM (4, 5) = 20. In this case, the LCM 20 is divisible by both 4 and 5, so 4 and 5 are referred to as the divisors of 20.
Given numbers 2, 5, 10
We have to find the number which is produced by the given numbers
Now we have to find the LCM of these numbers
LCM of 2, 5, 10
2 = 2 x 1
5= 5 x 1
10 = 2 x 5
= 1x 2 x 5
= 10
The LCM of 2,5,10 is 10
Therefore 10 is the required number which is a product of 2, 5, 10
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Suppose the doubling time of an investment of $10000 is 12 years. What is the annual
percentage growth rate?
A. 9.5%
B. 4.1%
C. 5.9%
The annual percentage growth rate is 5.9%
The doubling time of an investment of $10000 is 12 years
The compound interest caluclated annually can be given by
A=P(1 + r/n)^nt
where A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
20000 = 10000(1 + r)¹²
2⁻¹² = 1 + r
r = 1.059 - 1
r = 0.059
Rate of inetrest = 5.9%
Therefore, the annual percentage growth rate is 5.9%
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Evaluate this expression: (7 ⋅ 2) + 4^2 - 12 ÷ 4
I don't know how to figure this out
Please help with this question
Answer:
c.
Step-by-step explanation:
You want a linear combination of the given 3×3 matrices.
StrategyWe observe that the answer choices are different in most corresponding terms, so we only need to find the value of one term in order to choose the correct answer.
Linear combinationThe expression applied to the matrices is applied to corresponding terms of the matrices. That is, for ...
[tex]C = -2A +7B[/tex]
you will have ...
[tex]c_{11}=-2a_{11}+7b_{11}\\\\c_{11}=-2(4)+7(7)=-8+49\\\\c_{11}=41[/tex]
This matches choice c.
__
Additional comment
Many graphing calculators and all spreadsheets can do the necessary calculations to help you find the desired result matrix.
Which ordered pair in the form (a, b) is a solution of this equation?
4a - 5b = 24
L
Answer: (6, 0)
Step-by-step explanation:
Plug each coordinate in and see if the equation holds true.
At (6,0), [tex]4(6)-5(0)=24[/tex].
So (6, 0) is a solution of the equation.
someone help pls tysm
The mean of the number of plants (d) increases by 5.5
How to compare the mean of the number of plants?From the question, we have the table of values that can be used in our computation:
In the table, we have the following rows
Plants and Number of tomatoes
The mean of the number of plants is calculated as
Mean plant = Total number of tomatoes/Total number of plants
For the four plants, we have
Total number of tomatoes = 31 + 25 + 6 + 28 = 90
Total number of plants = 4
Substitute the known values in the above equation So, we have the following equation
Mean plant = 90/4
Mean plant = 22.5
For the three plants, we have
Total number of tomatoes = 31 + 25 + 28 = 84
Total number of plants = 3
Substitute the known values in the above equation So, we have the following equation
Mean plant = 84/3
Mean plant = 28
See that the difference is an increment of
Increment = 28 - 22.5
Evaluate
Increment = 5.5
Hence, the mean increases by 5.5
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Please help… offering a lot of points
Answer:
<ABC is bisected by ray BD, 2m<DBC = m<ABC, BC = 1/2AC
Step-by-step explanation:
Enzo has fish in two aquariums. In one aquarium, the ratio of the number of guppies to the number of goldfish is 2:3. In the other, this ratio is 3:5. If Enzo has 20 guppies in total, the least number of goldfish that he could have is
A. 29
B. 30
c. 31
d. 32