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There are 10 members on board of directors_ of them must be elected to the offices of president; vice-president, secretary, and treasurer, then how many different slates of candidates are possible? Assume that no board member may be elected to more than one of these offices.
There are 5,040 different slates of candidates possible for the offices of president, vice-president, secretary, and treasurer.
To determine the number of different slates of candidates for the offices of president, vice-president, secretary, and treasurer, we can use the concept of permutations.
There are 10 members on the board of directors, and we need to select 4 members for the 4 different offices.
We can think of this as arranging the 10 members in a specific order, where the first member selected becomes the president, the second member becomes the vice-president, the third member becomes the secretary, and the fourth member becomes the treasurer.
The number of ways to arrange the members in this specific order is given by the formula for permutations:
P(n, r) = n! / (n - r)!
Where n is the total number of items and r is the number of items to be selected.
In this case, we have n = 10 (total number of members) and r = 4 (number of offices to be filled).
Using the formula, we can calculate the number of different slates of candidates:
P(10, 4) = 10! / (10 - 4)!
= 10! / 6!
\(= (10 \times 9 \times 8 \times 7 \times 6!) / 6!\)
\(= 10 \times 9 \times8 \times7\)
= 5,040
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What is the mistake??
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
Answer:
The mistake was converting the expresssion
Step-by-step explanation:
What is the sum of the interior angles of
the polygon shown below?
so taking a look at the polygon, it has 6 sides, so
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720\)
Answer:
Step-by-step explanation:
(n-2) x 180 degrees
n is the number of sides of the polygon
Please Help Me it's due soon
The equation of a line is y = 17x -6
What are the coordinates of the point where the line crosses the y-axis
Answer: -6
Step-by-step explanation: y= 17x -6
y=17•0 -6
y= -6
Just multiply by zero to know where the line will cross
a(n) is a scatter chart with time on the horizontal axis and measurement scale on the vertical axis, displays the mean and control limits, and may mark two standard deviations from the mean. histogram control chart pareto chart gantt chart affinity diagram
A(n) Control Chart is a scatter chart with time on the horizontal axis, measurement scale on the vertical axis, displays mean and control limits, and may mark two standard deviations from the mean.
A control chart is one of the process improvement techniques or simply it is a graph to study how a process changes over time. In layman's terms the control chart shows if a process is under control or out of control. For calculating the average, there is always a central line in the control chart, an upper line and a lower line for upper control limit and lower control limit respectively.
The control charts are used to serve many purposes including monitoring a process for special variations and their causes and to remove them, estimating the process average and the variation, predicting the impacts of the process , etc.
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Use the dilation to find the value of y.
According to definition of dilation and the characteristics of the geometrical system in the picture, we find that the misssing side has a length of 25 units. (Correct choice: C)
How to determine the length of the missing side associated to two proportional triangles
The figure shows a geometrical system of two proportional right triangles generated about the point C, in which two pairs of sides related to the same side ratio for a dilation. Mathematically speaking, a dilation is defined by the following expression:
k = AB / A'B'
Where:
k - Scale factorAB - Original sideA'B' - Dilated sideThe ratio formula associated to the figure is shown below:
y / 35 = 15 / 21
y = (15 / 21) · 35
y = 25
The missing length is equal to 25.
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The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
P(C) = [?]
Using it's concept, considering the tree diagram, the probability of event C is given as follows:
P(C) = 0.26.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Each node at the tree is a multiplication, hence the probability of event C is given as follows:
P(C) = 0.6 x 0.3 + 0.4 x 0.2 = 0.18 + 0.08 = 0.26.
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What is the correct reason for step 2
The correct reason for step 2 is vertical angle theorem.
How to find vertical angle theorem?The vertical angle theorem states that the angles formed by two intersecting lines which are called vertical angles are congruent.
Vertical angles are formed when two lines meet each other at a point.
Two angles that are opposite to each other are equal and they are called vertical angles.
Therefore, ∠SUV and ∠TUX are vertically opposite angles and are congruent by vertical angle theorem.
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What is the reference point given (the reference point you can identify just by looking at the formula)?
A reference point is a specific value or point in a coordinate system that is used to describe the position or location of an object in a mathematical formula. It can be identified by looking for specific values or variables that serve as a starting point.
A reference point is a specific value in a coordinate system that is used to locate other points relative to it. In many mathematical formulas, reference points are often used to describe the position or location of an object.
The reference point given in a formula can often be identified by looking for specific values or variables that are used as a starting point. For example, in a linear equation y = mx + b, the reference point is the y-intercept, where the line crosses the y-axis. In this case, the reference point is (0, b), which is used to locate all other points on the line relative to it.
Similarly, in a geometric formula, the reference point may be the origin (0, 0) or a specific point in space. For example, in polar coordinates, the reference point is the origin and all other points are located relative to it based on their distance and angle from the origin.
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The graph of a linear equation passes through the points (-4,1) and (4,6)
HELP!
Answer:
a) (0, 3.5)
b) (12, 11)
Step-by-step explanation:
The points through which the graph of the linear equation passes are;
(-4, 1) and (4, 6)
The slope of the equation of a straight line passing through points (x₁, y₁), and (x₂, y₂), 'm', is given as follows;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
∴ The slope of the equation, m = (6 - 1)/(4 - (-4)) = 5/8 = 0.625
The equation of th line in point and slope form is therefore;
y - 1 = 0.625·(x - (-4))
∴ y = 0.625·(x - (-4)) + 1 = 0.625·x + 3.5
y = 0.625·x + 3.5
Therefore;
a) When x = 0, y = 0.625 × 0 + 3.5 = 3.5
∴ The point (0, 3.5) is a solution
b) When x = 12, we have, y = 0.625 × 12 + 3.5 = 11
∴ The point (12, 11) is a solution
However;
c) When x = 8, we have, y = 0.625 × 8 + 3.5 = 8.5
∴ The point (8, 5) is not a solution
d) When x = -6, we have, y = 0.625 × (-6) + 3.5 = -0.25
∴ The point (-6, 0) is not a solution
Therefore;
The points which are solutions are;
(0, 3.5) and (12, 11)
Choose the graph of y < –x2 + 4x + 5.
Answer:
can you show me the graph so I can't answer the question
Answer:
A
Step-by-step explanation:
Edge 2022
.........................
Hey there!
The answer is D
We solve this by multiplying the exponents, and we get 15:
3 x 5 = 15
So, the answer is 2^15
Hope it helps and have a great day!
a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 4% margin of error at a 97.5% confidence level, what size of sample is needed?
To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.
To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:
n = (Z^2 * p * (1-p)) / E^2
Where:
n is the sample size
Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)
p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)
E is the margin of error
Plugging in the values for this scenario, we get:
n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2
n ≈ 862
Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.
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HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61
Answer:
Step-by-step explanation: not sure why there is two x values can you explain more
please help!!
solve by elimination
-6x+5y=1
-3x+2y=-2
Answer:
x = 4 and y = 5
Step-by-step explanation:
To solve this system of equations by elimination, we want to eliminate one of the variables so that we end up with an equation involving only the other variable. We can do this by multiplying one or both of the equations by a constant so that when we add the two equations together, one of the variables will cancel out.
We notice that if we multiply the second equation by 2, we can eliminate the y variable by adding the two equations together:
-6x + 5y = 1 (first equation)
-3x + 2y = -2 (second equation, multiplied by 2)
-6x + 5y = 1
-6x + 4y = -4 (adding the two equations)
Now, we can eliminate the x variable by subtracting the second equation from the first:
-6x + 5y = 1
-(-6x + 4y = -4) (note the double negative here)
Simplifying, we get:
-6x + 5y = 1
6x - 4y = 4
Adding the two equations together, we can eliminate the x variable again:
-6x + 5y = 1
+6x - 4y = 4
y = 5
Now that we know y = 5, we can substitute this value back into one of the original equations to solve for x:
-6x + 5y = 1
-6x + 5(5) = 1
-6x + 25 = 1
-6x = -24
x = 4
Therefore, the solution to the system of equations -6x+5y=1 and -3x+2y=-2 is x = 4 and y = 5.
7. Fill in the blanks within the tables
to make the functions odd.
Following is the odd function table of the given problem:
x y
-3 11
-1 2
0 0
1 -2
3 -11
How may a function be made odd?If f(-x) = f, then a function f(x) is even (x). If f(-x) = -f, the function is odd (x). There is reflection symmetry about the y-axis for an even function. Rotational symmetry about the origin exists for odd functions.
An odd function table is what?
The symmetry of even functions around the y-axis is f(x)=f (-x). The x- and y-axes are symmetrical for odd functions: f(x)=-f (-x). Let's apply these definitions to discover whether a table-based function is even, odd, or neither.
For the given table,
odd function table is -
x y
-3 11
-1 2
0 0
1 -2
3 -11
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Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of it using the formula n =
1 =
Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.
Answer:
lower bound: 2.996
upper bound: 3.244
Step-by-step explanation:
The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.
What is circumference?The circumference is the perimeter of the circle.
Given, the circumference, C, at 405 mm to three significant numbers.
She correctly estimates the diameter, d, to be 130 mm to two significant numbers.
Helen wants to find the value of Pi using the formula pi=C/D
We have, the circumference of the circle = C = 405 mm
The diameter of the circle = d = 130 mm
Pi = C/D
= 405 mm / 130 mm
= 405 / 130
= 3.115
3.115, measured to the nearest 0.1.
The degree of accuracy is nearest 0.1.
0.1/2 = 0.05
Upper bound = 3.115 + 0.05 = 3.165
Lower bound = 3.115 - 0.05 = 3.065
Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.
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The function y = 3p^3 – 8p^2 + 4p represents the population size of mackerel y based on the number of pounds of plastic p found in the ocean.
Find the zeros of the function and explain their meaning within the context of the situation.
*PLS ANSWER QUICKLY* the zeros of the function are {0,2/3,2} I know the zeros are the pounds but explain further pls. tank u
The zeros of the polynomial y = 3p³ - 8p² + 4p are calculated to be 0, 2/3, and 2.
What are Zeros or Root of FunctionThe zeros of a function, sometimes referred to as the roots or solutions, are the values of the independent variable (x) for which the function equals zero. In other words, these are the x-coordinates of the points where the graph of the function crosses the x-axis. You can get the zeros of a function by setting its value to zero and then figuring out what value(s) of x the equation needs.
For example, if the function is f(x), you would set f(x) to 0 and then find x:
For example, if the function is f(x), you would set f(x) to 0 and then find x:
f(x) = x² + 2x - 3 = 0
This equation can be written as (x-3)(x+1) = 0.
Inferring from the x-values that x - 3 = 3 or x + 1 = -1, x² + 2x - 3 = -1, 3
As a result, the zeros of the function f(x) = x² + 2x - 3 are -1 and 3.
In the issue at hand, y = 3p³ - 8p² + 4p
y = p(3p - 2)(p - 2) (p - 2)
Taking the zeros,
0 = p(3p - 2)(p - 2)
p = 0,
3p - 2 = 0,
p = 2 / 3,
p - 2 = 0, p = 2
The zeros of the polynomial or roots are (0, 2/3, and 2).
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true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
one batch of ice cream recipe uses 9 cups of milk. A chef makes a different amounts of ice cream on different days. Here are the amounts of milk she used:
. Monday: 12 cups .Thursday: 6 cups
.Tuesday: 22 1/2 cups . Friday: 7 1/2 cups
1. How many batches of ice cream did she make on these days? For each day , Write a division equation, draw a tape diagram, and find the answer.
Answer:
Monday:1 1/3 cups Tuesday: ?Thursday:2/3 cups
Step-by-step explanation:
if a person randomly draws two cards without replacement, find the probability of drawing a seven and then a four.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:
First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:
C(52,2) = 52! / (2! * (52-2)!) = 1,326
Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.
There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.
The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:
P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.
Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.
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What is 7 1/3 x 2/5?
Math
Answer:
Step-by-step explanation:
you would multiply the fractions
then you would add the hole number
Answer:
2 14/15
Step-by-step explanation:
Dan uses a remote control to make his drone take off from the ground. Function h represents the height, in feet, of the drone t seconds after it begins flying.
h(t)=-16(t-2)^2+64
Which statement correctly describes this situation?
A.
The drone is on the ground at 2 and 4 seconds.
B.
The drone is on the ground at 0 and 2 seconds.
C.
The drone is on the ground at 0 and 16 seconds.
D.
The drone is on the ground at 0 and 4 seconds.
Answer: C. The drone is on the ground at 0 and 4 seconds.
you have a blessed thanksgiveing
Answer:
sorry i didn't understand
Nikolas and Angela were trying to solve the equation: 3x^2+10x=03x 2 +10x=03, x, squared, plus, 10, x, equals, 0 Nikolas said, “I can complete the square. Half of 101010 is 555, and 555 squared is 252525. So I'll add 252525 to both sides, factor, and solve.” Angela said, “I'll factor the left-hand side of the equation as x(3x+10)x(3x+10)x, left parenthesis, 3, x, plus, 10, right parenthesis and solve using the zero product property.”
Answer:
zero product property so Angela
Step-by-step explanation:
(Angela)
3x² + 10x = 0
x(3x + 10) = 0
x = 0 => x₁ = 0
3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3
Good luck !
Answer:
Only Angela's
Step-by-step explanation:
what is my gpa if I have 3 c's 2 A's 1 B and one D?
Answer:
Your GPA is around *2.57
(you never specified the amount of credits you have/need however)
Step-by-step explanation:
If MI = 15 m, SM = 20 m, and TM = 9 m, what is the value of RM?
Answer:
RM=12m
Step-by-step explanation:
You can set up a proportion of 9/15 on one side and RM/20 on the other. you would then cross multiply and solve for RM
I need help cancelling units
Answer:
60:1
Step-by-step explanation:
60:1 = 366:x
60x = 366
x = 6.1
366 minutes is equivalent to 6.1 hours.
Convert 366 minutes to hours.
Knowing that in 60 minutes = 1 hour.\(\boldsymbol{\sf{Therefore \ \to \ 366 \not{m}*\dfrac{1 \ hr}{60\not{m}}=6.1 \ hr }}\)
We conclude that a time of 366 minutes is equal to 6.1 hours
There are 60 minutes in 1 hour. To convert from minutes to hours, divide the number of minutes by 60. For example, 120 minutes equals 2 hours because 120/60=2.
3. The table shows the linear relationship between the balance of a student's savings account and the number of weeks she has been saving. Savings Account Week 0 1 2 4 7 12 Balance (dollars) 24 32 40 56 80 120 Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?
The number of weeks are 0 1 2 4 7 12
The balances are 24 32 40 56 80 120
The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as
Slope = (y2 - y1)/(x2 - x1)
y1 and y2 would be consecutive values of the balance
x1 and x2 would be consecutive values of the number of weeks
When x1 = 0, y1 = 24
When x2 = 1, y1 = 32
Slope = (32 - 24)/(1 - 0)
Slope = 8
The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week
-5 2/3 + 3 1/4 + (-7 1/3)
Answer:
-9.75 or -39/4 or \(-9\frac{3}{4}\)