Answer:
The ordered pair for the equation 3y=2(2)-9 is (x, -5/3).
Step-by-step explanation:
To find the ordered pair, you will first need to solve the equation for y. To do this, you can start by simplifying the right side of the equation:
3y = 2(2) - 9
3y = 4 - 9
3y = -5
Next, you will divide both sides of the equation by 3 to solve for y:
y = -5/3
So the value of y is -5/3.
The ordered pair is a set of coordinates on a coordinate plane, representing a point on the plane. It is usually represented by (x, y) where x is the value of x-coordinate and y is the value of y-coordinate. In this case, since you only have one variable, you don't have the value of x, so it would be (x, -5/3)
Please note that the above solution is based on the given equation, if you have any other information such as the context of the question or any other variables in the equation, it would be helpful to include that information in your question so I can help you better.
▸ The rules of the Witches Guild are very strict. Black hats must be worn in public at all times. Broomsticks are to be replaced yearly and goblin gowns must not contain any patches. On Halloween, each witch must scare 13 people-no more and no less. Each goblin must scare 33 people, and each ghost must scare 19 people. How many people were scared by a group of 135 ghosts and 273 witches?
At the haunted mansion, 6114 people were scared by a group of 135 ghosts and 273 witches.
How do equations work?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
According to the question each ghost must scare 19 people that means 135 ghost will scare:
135 ghosts x 19 people = 2,565 people......................(i)
And each witch must scare 13 people-no more and no less i.e 273 witches will scare:
273 witches x 13 people = 3,549 people.....................(ii)
Adding (i) and (ii) we get;
2,565 + 3,549 = 6114 people
Therefore, 6114 people were scared by a group of 135 ghosts and 273 witches.
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The formula v=u+at is used in physics
Find the value of u when u=1/2, a=3/4 and t =1 1/2
select all the shapes below which are an enlargement of x by scale factor -1
Shapes A and B are enlargements of x by a scale factor of -1 because they are mirror images of x. Shape C is not an enlargement of x by scale factor -1 because it is not a mirror image of x. Therefore, the option is A and B.
An enlargement by a scale factor of -1 means that the image is flipped and has the same size as the original.
Therefore, any shape that is a mirror image of x is an enlargement of x by scale factor -1. Looking at the shapes, we can see that shapes A and B are mirror images of x, so they are enlargements of x by scale factor -1.
Shape C is not a mirror image of x, so it is not an enlargement of x by scale factor -1. Therefore, the answer is A and B.
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Determine the coordinates of the image of point 8 of quadrilateral ABCD after the translation of 5 units to the left and 3 units down.
The coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down are B'(-14, -11).
What is a translation?In Mathematics, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image.
On the other hand, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate of the pre-image.
By translating the pre-image of quadrilateral ABCD vertically down by 3 units and horizontally left by 5 units, the coordinates of B in triangle A'B'C' include the following:
(x, y) → (x - 5, y - 3)
Coordinate B = (-9, -8) → Coordinate B' = (-9 - 5, -8 - 3) = (-14, -11)
In conclusion, the coordinates of B' are (-14, -11).
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Complete Question:
Determine the coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down.
Reducing each ratio to its lowest form 250:400 math
Answer: 5:8
Step-by-step explanation:
to reduce 250:400, simply start with common factors. Right now, it looks like both numbers have 10 in common, so we can divide 10 from both numbers, which will result in 25:40.
We still need to simplify, and now it looks like both numbers have 5 in common, so we can divide 5 from both numbers, resulting in 5:8.
I hope this helps!
Does anybody know this?
They sold 400 student tickets and 200 student tickets.
And at a certain performance, they sold 100 adult tickets and 200 student tickets.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
Given, Let 'x' represents the number of adult tickets and 'y' represent the number of student tickets.
So, The two equations can be formed as,
x + y = 600 and 7.5x + 4.5y = 3300.
Multiplying equation 1 by 7.5x we have 7.5x + 7.5y = 4500 and subtracting it from equation 2 we have,
- 3y = - 1200.
y = 400 and hence x = 200.
At a certain performance, they sold twice as many student tickets as adult tickets.
y = 2x.
x + y = 300.
x + 2x = 300.
3x = 300
x = 100 and hence y = 200.
100×7.5 + 200×4.5 = 750 + 900 = 1650.
So, they were 3300 - 1650 = $1650 short.
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Find g(x), where g(x) is the reflection across the y-axis of f(x) = x + 5. Write your answer in the form mx + b, where m and b are integers.
Considering the Question G(x) = -x + 5 is the equation for such reflections at f(x) = x + 5 from across y-axis.
What does the y-axis stand for?Similar to a vertical ruler is the y-axis. It displays the location of an object on a two-dimensional Cartesian graph with in y (vertical) plane. On a graph, it serves as the starting point, or "zero," from which to calculate how far a tip is from right or left (horizontally).
The sign of the x-coordinate is altered by reflection across the y-axis, while the y-coordinate remains constant. By changing the sign of x, we may represent f(x) = x + 5 from across y-axis as g(x) = -x + 5. G(x) = -x + 5 is the equation for the reflections for f(x) = x + 5 from across y-axis.
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how much consumer surplus will there be if the price is $40?
If the price paid for a certain item is $40 and the consumer surplus is $4, then the maximum buying price for that item is $44 .
The Consumer's Surplus is defined as the difference between the maximum price a consumer is willing to pay for an item and the actual price paid for the item.
If the price paid for the item is $40 and the consumer's surplus is $4, then the maximum buying price for that item can be calculated as :
⇒ Maximum buying price = Price paid + Consumer's surplus
Substituting the values of Price paid and consumer surplus ,
we get ;
⇒ $40 + $4
⇒ $44
Therefore , the maximum buying price for that item is $44 .
The given question is incomplete , the complete question is
If the price paid for a certain item is $40 and the consumer surplus is $4, then what is the maximum buying price for that item ?
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Twice the difference of a number and 3 is equal to 2. Translate the sentence into an equation
Answer:
equation:
2( x - 3 ) = 2
Step-by-step explanation:
you can also solve for x:
2(x-3) = 2
2x - 6 = 2
2x = 2 + 6
2x = 8
x = 8/2
x= 4
Find the distance from (-4, 7) to the line y = 2x
Answer:
Step-by-step explanation:
y=mx+c
7=2*-4+c
7=-8+c
7+8=c
15=c
a car depreciates ( loses value ) at a rate of 4.5% annually . greg purchased a car for 12,500. which equation can be used to determine the value of the car ,v, after 5 years
The equation used to determine the value of the car ,v, after 5 years is V= 12500*4.5*5/100-D.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
Given;
A car depreciates ( loses value ) at a rate of 4.5% annually
Greg purchased a car for 12,500
Time= 5years
Here, the depreciation is equal to the simple interest but in depreciation
So, Let the depreciation be D
D=P*R*T/100
D=12500*4.5*5/100
=2812.5
Now, value of car v;
V= 12500*4.5*5/100-D
Therefore, the equation will be V= 12500*4.5*5/100-D
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Build a VI to compute the variance of an array x. The variance sigma is defined as: sigma = 1/N sigma^N_j = 1 (x_j - mu)^2 where mu denotes the average of the array x. For x, use all the integers from 1 to 1000.
There are 4 steps to build a VI to compute the variance of an array x.
Here is a VI in LabVIEW to compute the variance of an array x:
Create a new VI and add a 1D array constant to the front panel. Connect it to a For Loop.Inside the For Loop, subtract the average of the array x from each element and square the result. Accumulate the result in a shift register.After the For Loop, divide the accumulated result by the number of elements in the array to find the variance.Add a control to the front panel to display the result.To learn more about variance here:
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P varies inversely as Q and P = 6 when Q = 24. find
a. Q when P = 8
b. P when Q=16
Answer:
Step-by-step explanation:
P = k/Q where k is a constant.
P is 6 when Q is 24, so:
6 = k / 24
k = 6*24 = 144
so, the relation is P = 144/Q.
a. When P = 8,
8 = 144/Q
8Q = 144
Q = 144/8 = 18
b. When Q = 16
P = 144/16
= 9.
On a certain hot summer's day,718 people used the public swimming pool. The daily prices are 1.25 for children and 2.00 for adults. The receipts for admission totaled 1151.75 How many children and how many adults swam at the public pool that day?
The number of children is 379 and the number of the adults is 339.
What is system of equations?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."
Let us suppose the number of children = C, and the number of adults = A.
Given that, 718 people used the public swimming pool:
C + A = 718 people
The cost for one child is 1.25 for children, then the cost for C child is: 1.25C
The cost for one adult is 2.00 for adults, then the cost for A adults is: 2A
The receipts for admission totaled 1151.75:
1.25C + 2A = 1151.75
The two equations are:
C + A = 718
1.25C + 2A = 1151.75
For the first equation we can write:
C + A = 718
C = 718 - A
Substitute the value of C in second equation:
1.25(718 - A) + 2A = 1151.75
897.5 - 1.25A + 2A = 1151.75
0.75A = 254.25
A = 339
Substituting the value of A in the first equation we have:
C + A = 718
C + 339 = 718
C = 379
Hence, the number of children is 379 and the number of the adults is 339.
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The distance from Mexico City, Mexico to Monterrey, Mexico is 931 kilometers. How far is this in miles? Round your answer to the nearest whole number. (1 mile = 1.6 kilometers)
Answer:
578
Step-by-step explanation:
divide the length value by 1.609
22. Thomas lists all of the different arrangements of the letters in the word CABOOSE. How many of Thomas's arrangements begin with a C and end with an E?
(A) 100
(B) 120
(C) 80
(D) 90
(E)Other
If a b a♣︎b - a - b - 1, then what is the value of 284♣︎1001?
(A) 282435
(B) 283000
(C) 283283
(D) 282000
(E)Other
What is the product of 4% of 112 and 61% of 375?
(A) 144
(B) 90
(C) 120
(D) 105
(E)Other
. Josh rolls two standard six-sided dice. What is the probability that the product of the numbers shown on the dice is a multiple of six?
(A) 4/9
B) 1/3
(C) 5/12
D) 1/2
(E)Other
What is the remainder when the sum of the terms of the arithmetic series 101 108 + 115 + 290 is divided by 28?
(A) 7
(B) 0
(C) 14
(D) 21
(E)Other
Two right triangles have the same perimeter, and each triangle's side lengths are all whole numbers. One right triangle has legs of length 10 and 24. The other right triangle has a hypotenuse of length 25. What is the area of the second triangle?
A) 150
(B) 112
(C) 120
(D) 144
(E)Other .
A function f is defined for positive integers x as f(x) = 0 if x ≤ 2. Otherwise, f(x) = f(x - 1) if x is not divisible by 3, and f(x) = 2 + f (3) if x is divisible by 3. What is the value of f(2020)?
A) 16
B) 14
C) 12
D) 8
E)Other
Thomas lists all of the different arrangements of the letters in the word CABOOSE. How many of Thomas's arrangements begin with a C and end with an E?
(B) 120
If a b a♣︎b - a - b - 1, then what is the value of 284♣︎1001?
(A) 282435
What is the product of 4% of 112 and 61% of 375?
(D) 105
Josh rolls two standard six-sided dice. What is the probability that the product of the numbers shown on the dice is a multiple of six?
(C) 5/12
What is the remainder when the sum of the terms of the arithmetic series 101 108 + 115 + 290 is divided by 28?
(A) 7
Two right triangles have the same perimeter, and each triangle's side lengths are all whole numbers. One right triangle has legs of length 10 and 24. The other right triangle has a hypotenuse of length 25. What is the area of the second triangle?
(D) 144
A function f is defined for positive integers x as f(x) = 0 if x ≤ 2. Otherwise, f(x) = f(x - 1) if x is not divisible by 3, and f(x) = 2 + f (3) if x is divisible by 3. What is the value of f(2020)?
(B) 14
can someone pls solve this for me?(and pls make sure its the right answer I really need to get this right.)
The surface area of the right triangular prism is 108 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The surface area of a three dimensional figure is gotten by individually adding each of their respective areas of the surfaces.
From the net and the diagram shown:
A = 5 feet, B = 4 feet, D = 3 feet and C = 8 feet
Surface area = area of triangle 1 + area of triangle 2 + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Surface area = (0.5 * B * D) + (0.5 * B * D) + (A * C) + (C * B) + (D * C)
Substituting:
Surface area = (0.5 * 4 * 3) + (0.5 * 4 * 3) + (5 * 8) + (4 * 8) + (3 * 8) = 108 ft²
The surface area is 108 ft²
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Maay I please get some help?
The complementary angle is 19 degrees and the supplementary angle is 109 degrees.
What are complementary angles?Complementary angles can be defined as the angles whose sum is 90 degrees.
The ‘c’ in complementary angle can be used to form 9 in 90 degrees. Supplementary angles are angles whose sum is 180 degrees. The ‘s’ in supplementary angle can be used to form 8 in 180 degrees
If the intersection of P and Q creates a 71 degree angle,
then 90 – 71 = 19 degrees is its complementary angle. Its supplementary angle is 180 – 71 = 109 degrees.
Therefore, The complementary angle is 19 degrees and the supplementary angle is 109 degrees.
So, The answer is D)
The complementary angle is 19 degrees and the supplementary angle is 109 degrees.
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suppose that the general solution of a system of m linear equations in n variables contains k free variables. how many basic variables does it have? explain your answer.
It has n-k basic variables. The basic variables are the variables that are not free variables, and they are the ones that can be solved for as part of the general solution.
The general solution of a system of m linear equations in n variables contains k free variables. This means that there are k variables that have no restrictions and can take on any value. The remaining n-k variables are the basic variables, which are the ones that can be solved for as part of the general solution. The basic variables are the ones that have restrictions and need to be solved for in order to determine the solution of the system. In other words, the number of basic variables is equal to the number of variables minus the number of free variables. Thus, the general solution of the system has n-k basic variables.
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Ethan buys a video game on sale. If the video game usually costs 39.99 and it was on sale for 20% off how much did Ethan pay
The amount ethan payed is $31.992.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given;
The video game usually costs 39.99
Sale off= 20%
Now,
Let the 20% be x
x*100/39.99=20
x=20*39.99/100
x=799.8/100
x=7.998
After off;
=39.99-7.998
=31.992
Therefore, the value after 20 percent off will be $31.992
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Sum up the series 2/3+5/9+8/27+11/81+..... to n terms
AP GP CLASS 11 ISC QUESTION FIRST ONE TO GIVE RIGHT ANSWER I WILL paytm3000 thanks
Answer:
Sn = (7 -(6n +7)3^-n)/4
Step-by-step explanation:
You want the sum of n terms of the series 2/3 +5/9 +8/27 +11/81 +....
Partial sumsThe sums of n terms for n = 1 .. 5 are ...
2/3, 11/9, 41/27, 134/81, 416/243
We recognize the denominators as powers of 3. The numerator sequence is ...
2, 11, 41, 134, 416, ...
Differences are ...
9, 30, 93, 282
And second differences are ...
21, 63, 189
We note that these have a common ratio of 3, leading us to speculate that the numerator sequence can be written as the sum of a linear expression and a power of 3.
CoefficientsAssuming the sequence of numerator terms is of the form ...
a·3^n +bn +c
We can write equations for a, b, c:
a·3 +b·1 +c = 2 . . . . . . for n = 1
a·9 +b·2 +c = 11 . . . . . .for n = 2
a·27 +b·3 +c = 41 . . . . for n = 3
These equations can be solved for a, b, c using any of your favorite techniques. The attached calculator output shows the values to be ...
a = 1.75 = 7/4
b = -1.5 = -6/4
c = -1.75 = -7/4
Nth sumThen the sum of n terms can be written as ...
[tex]\boxed{S_n=\dfrac{7\cdot3^n -6n-7}{4\cdot3^n}}[/tex]
__
Additional comment
The n-th term of the series is (3n-1)/3^n. This can be decomposed into two sums: 3(n/3^n) -1/3^n. The latter is the well-known sum of a geometric series. The sum of the first term is less well-known: ∑(k/3^k) = (3(3^n-1)-2n)/(4·3^n).
Paul wins 1500 metres in 4,67minute (a) Estimate his average speed in metres per minute (b) Use calculator to find his actual average speed in metres per minutes
Answer: See below
Step-by-step explanation:
A) The best way to estimate average speed is to make sure that each number is a whole number (with no decimals). This will make division much easier. The number of meters is already a whole number, but to make the number of minutes a whole number, we must round. Because the number after the decimal is greater than 5, that means we will round up, making the value of minutes 5. Now we can estimate 1500 metres/5 minutes = 300 metres/minute
As a little rounding tip, you can use this mnemonic: 4 and below, let it go (round down). 5 and above, give it a shove (round up)!
B) To do this part, we can simply plug the following into the calculator:
1500 metres/4.67 minutes = 321.2 metres per minute
Hope this helps!
For each strategy which recent decisions have been made in that manner and which factors influenced the decisions to use that strategy.
Ask questions such as :
Which strategies do you use more than others ?
What is the hardest part of the decision making process for you ?
Am there be It’s than one solution to a problem?
Spontaneity :
Choosing the first alternative that comes to mind without thinking about the consequences.
Compliance :
Going along with what your family, teachers, or friends expect you to do.
Strategies CONT:
Procrastination: Waiting to act on a decision for so long that your choices become limited .
Agonizing: Gathering so much information that analyzing the choices becomes overwhelming
Desire: Choosing an option that achieves a wanted result but may involve risk
Avoidance: Choosing an option that prevents an unpleasant result
Security: Choosing an option that does not upset people or involve risk
Synthesis: Choosing an option that will probably be successful and which you like the best.
Step-by-step explanation:
It's difficult for me to determine which recent decisions have been made using these strategies without more context about the specific situation. However, I can provide general information about how each strategy may be used and what factors may influence the decision-making process.
Spontaneity: This strategy may be used in situations where time is of the essence, and there is not enough time to weigh all options. The individual may also be impulsive or lack the ability to plan ahead.
Compliance: This strategy may be used in situations where the individual values the opinions of others over their own, or they may not want to upset their family, teachers, or friends.
Procrastination: This strategy may be used when the individual is overwhelmed by the decision-making process, and they are unsure of what choice to make. They may also be afraid of making the wrong choice.
Agonizing: This strategy may be used when the individual wants to make sure that they are making the best decision, and they want to gather as much information as possible. This can lead to paralysis by analysis, and they may not make a decision at all.
Desire: This strategy may be used when the individual wants to achieve a specific outcome, and they are willing to take a risk to do so. They may also be motivated by a sense of adventure.
Avoidance: This strategy may be used when the individual wants to avoid a negative outcome, and they are willing to make a decision based on that.
Security: This strategy may be used when the individual wants to make a decision that will not upset others or involve risk. They may also be motivated by a sense of stability.
Synthesis: This strategy may be used when the individual wants to choose an option that will probably be successful and which they like the best. They may also have a good sense of what they want and what is best for them.
These are general information, the hardest part of the decision-making process for an individual may vary depending on the situation, the options available, and their personal preferences. Furthermore, there may be more than one solution to a problem, and the best one depends on the individual's preferences, resources, and the context of the problem.
Charlotte is going to drive from her house to City A without stopping. An equation that determines Charlotte's distance from City At hours after leaving her house is D = -30t +300. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The y-intercept of the equation D = -30t + 300 is 300.
What is the y-intercept of the equation?
The constant variable b represents the y-intercept in a linear equation written in slope-intercept form (y=mx+b).
The given equation is D = -30t +300.
The y-intercept represents the distance from City A (in miles) when Charlotte has just left her house (i.e. when t = 0). So in this context, the y-intercept of 300 means that Charlotte is 300 miles from City A when she just leaves her house.
Hence, The y-intercept of the equation D = -30t + 300 is 300.
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find the general solution of the given differential equation. (x 1) dy dx (x 2)y = 6xe−x
The general solution of the differential equation is [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex], where C is an arbitrary constant.
To find the general solution, we can first try separating the variables by dividing both sides of the equation by x²:
The given differential equation is (x²)dy/dx + (x²)y = [tex]6xe^{-x[/tex]
[tex]\frac{dy}{y} = 6e^{-x} \frac{dx}{x^2}[/tex]
Integrating both sides with respect to their respective variables:
[tex]\int (dy/y) = \int 6e^{-x} \frac {dx}{x^2} + C[/tex]
ln [tex]|y| = \frac{-3e^{-x} - 1}{x} + C[/tex]
Exponentiating both sides:
[tex]|y| = \frac{Ce^{3e^{-x}} - 1}{x}[/tex]
where C is an arbitrary constant.
Since the solution for y is not unique, we need to determine the sign of y. To do this, we can analyze the initial conditions or the nature of the problem. If the initial conditions indicate that y is positive, then [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex]. If the initial conditions indicate that y is negative, then [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex].
Therefore, the general solution of the differential equation is [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex], where C is an arbitrary constant.
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what is the probability that the sample has one democrat, one republican and one independent? express your final answer as a decimal and round to four decimal places.
The probability that the sample has one democrat, one republican and one independent is 0.1518.
Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 indicates that an event is impossible, 1 indicates that an event is certain, and values between 0 and 1 indicate the degree of uncertainty or likelihood of an event occurring.
The total number of ways to select 3 voters out of 40 can be determined using the combination formula:
C(n, k) = n! / [k!(n - k)!]
where n is the total number of elements in the set and k is the number of elements to be selected.
C(40,3) = 40! / [3!(40 - 3)!] = 9880
The number of ways to select 1 Democrat, 1 Republican and 1 Independent is as follows:
C(20, 1) x C(15, 1) x C(5, 1) = 20 x 15 x 5 = 1500
So, the probability of selecting 1 Democrat, 1 Republican and 1 Independent in a sample of 3 voters is 1500 / 9880 = 0.151821, which rounded to four decimal places is 0.1518.
The problem seems incomplete, it must have been...
"A small town has 40 registered voters out of which 20 are Democrats, 15 Republicans and 5 Independents. A sample of 3 voters without replacement is to be selected. What is the probability that the sample has one Democrat, one Republican and one Independent? Express your final answer as a decimal and round to four decimal places. "
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while on vacation, michelle and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 14 of an hour. this accounts for 15 of the total time they spend at mount rushmore.which equation can you use to find the total amount of time t michelle's family spends at mount rushmore?
The total amount of time Michelle's family spends at Mount Rushmore is 93.38 minutes, which is equivalent to 1 hour and 33.38 minutes.
The time Michelle and her family spend watching the movie in the visitor center is 14/60 of an hour or 14 minutes. We are told that this accounts for 15% of the total time they spend at Mount Rushmore, so to find the total amount of time they spent at Mount Rushmore, we need to divide the time spent watching the movie (14 minutes) by the percentage of the total time this accounts for (15%). This gives us the equation:
time = 14 / (15/100)
time = 14 × (100/15)
time = 14 × (6.67)
time = 93.38 minutes or 1 hour and 33.38 minutes.
So the total amount of time Michelle's family spends at Mount Rushmore is 93.38 minutes, which is equivalent to 1 hour and 33.38 minutes.
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let :ℝ2→ℝf:r2→r and suppose that lim(,)→(−1,7) (,)=4.lim(x,y)→(−1,7)f (x,y)=4. what can you say about the value (−1,7)?f (−1,7)?
The value (−1,7) is equal to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.
Since the limit of f(x,y) as (x,y) approaches (−1,7) is 4, that means that as (x,y) gets closer and closer to (−1,7) the value of f(x,y) gets closer and closer to 4. Therefore, when (x,y) is equal to (−1,7), the value of f(x,y) is 4.
The limit of the function f(x,y) as (x,y) approaches (−1,7) is 4, which means that as (x,y) gets closer and closer to (−1,7), the value of f(x,y) gets closer and closer to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.
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A group of people was asked which color of car they prefer. The results are shown in the table below. Which statement is true? Responses About 49% of people prefer a blue car. About 49 percent of people prefer a blue car. Over 12 of people prefer either a silver or red car. Over 1 half of people prefer either a silver or red car. About 14 of people prefer a silver car. About 1 fourth of people prefer a silver car. Less than 50% of people prefer a black or white car.
The results of the survey show that the majority of people prefer a blue car.
Which statement is true?About 49% of respondents said that blue was their preferred color, making it the most popular choice overall. Silver and red were the second and third most popular choices, with over 1 half of respondents selecting either one of these two colors. Silver was the more popular choice of the two, with 14% of people preferring it. Black and white were the least popular choices, with less than 50% of people selecting either one of these colors. In conclusion, blue cars are the most popular choice among the people surveyed, followed by silver and red cars. Black and white cars are the least popular choices.This statement is true: Over 1 half of people prefer either a silver or red car. This statement accurately describes the data given in the table. In the table, a total of 50 people were asked which color of car they prefer. Out of the 50 people, 28 people prefer a silver car, and 24 people prefer a red car. When added together, this is a total of 52 people, or over 1 half of the people surveyed.This type of statement is known as a descriptive statistic. Descriptive statistics are used to summarize data in order to gain insight into the data set as a whole. They provide information about the frequency, range, shape, and other aspects of the data. Descriptive statistics are used to help people better understand the data and draw meaningful conclusions, as seen in the statement in this example.To learn more about descriptive statistic refer to:
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consider a group of 20 people. if everyone shakes hands with everyone else, how many handshakes take place?
If everyone shakes hands with everyone else in a group of 20, the number of handshakes take place is 210.
In a group of 20 people, if everyone shakes hands with everyone else, the number of handshakes that take place is equal to the sum of the first 20 positive integers, which can be found using the formula for the sum of an arithmetic series:
= n (n + 1)/ 2
= (20 * 21) / 2 = 210
To understand why this is the case, consider that each person shakes hands with 19 other people, so there are a total of 20 * 19 = 380 handshakes. However, each handshake is counted twice (once for each person involved), so we need to divide the total number of handshakes by 2 to get the actual number of unique handshakes. Hence, the answer is 380 / 2 = 210.
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