A 4-person grievance committee is to be selected out of 2 how many ways can the following committees be selected? Complete parts (A) through (E) below. (A) 3 from A and 1 from B A and B, with 11 and 30 people, respectively. in (B) 2 from A and 2 from B (C) All from A (D)4 people regardless of department (E) At least 3 from department A
Answers
According to the combination technique,
A) 3 from A and 1 from B = 16320
B) 2 from A and 2 from B = 29070
C) All from A = 3060
D) 4 people regardless of department = 73815
E) at least 3 from department A = 19380
In math combination technique is used to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Here we have given that 4-person grievance committee is to be selected out of 2 how many ways can the following committees be selected
And we need to find the following
Here we know that 4-person grievance committee is to be selected out of 2 departments, A and B, with 18 and 20 people.
In this one we have to find the number ways can the following committees be selected.
A) While the first condition is to 3 from A and 1 from B
Here the term "and" means to multiply
Then it can be written as
=> (18 people choose 3) x (20 people choose 1)
=> (18C3)(20C1) = (816)(20) = 16320
B) And then the next condition is 2 from A and 2 from B
In this one is written as,
=> (18 people choose 2) x (20 people choose 2)
=> (18C2)(20C2) = (153)(190) = 29070
C) All from A
which is equal to the following,
=> 18 people choose 4 = 18C4 = 3060
D) Next, we have to do the calculation for 4 people regardless of department
=> 18+20 or 38 people choose 4 = 38C4 = 73815
E) Finally, at least 3 from department A.
'In other words, it can be written as choose 3 from department A and choose 1 from department B or Choose 4 all from department A
Where "And" means to multiply and "or" means to add.
Therefore, the condition is written as,
=> [(18 people choose 3) times (20 people choose 1)] plus (18 people choose 4)
=> (18C3)(20C1) + (18C4) = (816)(20) + 3060 = 19380
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Related Questions
Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
Answers
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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Based on this sample, how many defective beach balls might the manufacturer expect in the next shipment?
Answers
Answer:
2000 - 150 + 20=
1,870
Will give brainliest
Answers
Which is the correct verbal expression for the mathematical expression 3n + 2?
Answers
Answer.3*n+2 =3+2 +3n+2Step-by-step explanation:
The cost of a water bottle is Rs 32. 75. Find the cost of one dozen bottles.
Answers
Answer:
393
Step-by-step explanation:
The cost of 1 water bottle is Rs 32.75
The cost of one dozen {12} bottles is 32.75 × 12
= 393
Translate and solve: 6 fewer than s is no less than -78. Write your solution in interval notation
Answers
6 less than can be expressed mathematically in interval notation as: s - 6 ≥ 78.
Explain the term interval notation?Continuous groups of real numbers can be represented using interval notation by the numbers which bound them.When written, intervals resemble ordered pairs in several ways. They do not, however, intend to indicate any particular location. Instead, they serve as a concise approach to express an inequality or a set of inequalities.As the stated question;
The resulting formula in (1) is then s - 6 ---(1), which must be less than 78;
Thus, s - 6 cannot be less than 78;Mathematically, this is represented as :s - 6 ≥ 78The expression can therefore be expressed mathematically as : s - 6 ≥ 78Thus, the mathematical equivalent of the expression in the question is:
s - 6 ≥ 78.
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Please help me with this problem
Answers
Answer:
x = 19
Step-by-step explanation:
2x + 3 = 90 - 49
2x + 3 = 41
2x = 38
x = 19
solve the given triangle by finding the missing angle and other side lengths
Answers
Answer:
angle B=122degree
Step-by-step explanation:
straight line AC =180degree, then 180-(21+37)=122 degree
a=b*sinA/sinB=84.5
c=b*sinC/sinB=141.9
find the negative integers. see picture above^^^
Answers
Answer:
i need help with this too let me know when you find out
Step-by-step explanation:
Step-by-step explanation:
all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.
smaller value : -28
larger value : -26
other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.
The figure below shows a right triangle with a square made from its hypotenuse. What is the area of the square?
Answers
Answer:
50cm^2
Step-by-step explanation:
side length is square root 50 so you multiply square root 50 by square root 50 which gives you 50
What is the circumference of a circle with a radius of 20 units
Answers
Answer:
125.66
Step-by-step explanation:
C = 2πr = 2·π·20 = 125.66371
An audio cable is 14.5 dm long. How long is the cable in meters?
Answers
Answer:
1.45 meters
Step-by-step explanation:
1 dm = 0.1 meter
14.5 x 0.1 = 1.45
you move the decimal point one place to the left turning 14.5 to 1.45
Answer:
1.45
Step-by-step explanation :
1 decimeter is equal to 0.1 meters
Which of the following is the equation of a line with a slope of -5/9
Answers
Answer:
Please help me important question in image
Please help me important question in image
Please help me important question in image
Step-by-step explanation:
Please help me important question Please help me important question in image
in image
Please help me iPlease help me important question in image
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You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 13 by 18 ft brick patio installed.
$
Round your answer to the nearest dollar.
Answers
Answer: $1,775
Step-by-step explanation:
We can use a proportion to estimate the cost of having a 13 ft by 18 ft brick patio installed, based on the cost of a 15 ft by 20 ft patio:
(cost of 13 ft by 18 ft patio) / (cost of 15 ft by 20 ft patio) = (area of 13 ft by 18 ft patio) / (area of 15 ft by 20 ft patio)
The area of the 13 ft by 18 ft patio is 13 x 18 = 234 sq ft, and the area of the 15 ft by 20 ft patio is 15 x 20 = 300 sq ft.
So,
(cost of 13 ft by 18 ft patio) / ($2,275) = 234 / 300
Solving for the cost of the 13 ft by 18 ft patio, we get:
cost of 13 ft by 18 ft patio = ($2,275) x (234 / 300) = $1,775.25
Rounding to the nearest dollar, the estimated cost of having a 13 ft by 18 ft brick patio installed is $1,775.
(HALP PLS WILL 100% MARK BRAINLIEST!) Sage has $26 and wants to download some songs from a music
Web site. Each song costs $1.79 to download. By rounding the
cost of the songs up to the nearest whole dollar, estimate the
greatest number of songs she can download.
A) 11
B) 13
C) 15
D) 17
Answers
Answer:
≈ 13Step-by-step explanation:
First ,we round 1.79 to the nearest whole dollar:
since 7 ≥ 5 then 1.79 rounded to the nearest whole dollar is 2
now ,we can estimate the greatest number she can download:
26/2 = 13
How many quarts can Gloria fill with one gallon of milk?
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 quarts in one gallon
Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
Answers
The mean is 0.477514 (rounded to 6 decimal places).
The standard deviation is 0.288919 (rounded to 6 decimal places).
How to Solve the Problem?To calculate the mean and standard deviation, we will use the following formulas:
Mean = (sum of all values) / (number of values)
Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]
Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:
Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514
Therefore, the mean is 0.477514 (rounded to 6 decimal places).
Now we will calculate the standard deviation:
Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919
Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).
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The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin, find cos 0.
10
√51
COS = [?]
Simplify the fraction.
Enter
H
Answers
for the purpose of pythagorean identity
What is pythagorean identity ?
We are shown sin as 10/51. You can square the Pythagorean Identity to get the following result:
(sin x)2 + (cos x)2 = 1
sin²x + cos²x = 1
Substituting sin = 10/√51, we get:
(10/√51)² + cos²x = 1
100/51 + cos²x = 1
cos²x = 1 - 100/51
cos²x = 51/51
cos x = √51/51
Cos 0 thus equals 51/51.
There is no need to simplify the fraction any more because it is already in its simplest form.
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if TU=10 and UV=10, , what is TV
Answers
Answer:
TV = 20
Step-by-step explanation:
TV is given by the formula
TV =TU + UV
From the question
TU = 10
AND
UV = 10
Therefore
TV= 10 + 10
TV = 20.
Please help! Functions and relations. The function h(x)= -|x| is a transformation of the absolute value parent function, f(x)= |x|. Which graph shows h(x)?
Answers
ANSWER:
EXPLANATION:
Given h(x) = -|x| as the transformation of the absolute value parent function, f(x) = |x|.
Note that if a function, say f(x) = x, is reflected accross the x-axis, the image will be a function f(x) = -x.
So if h(x) = -|x| is the transformation of the absolute value parent function, f(x) = |x|, then the graphs will be;
Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) A) ify>=10 and y <= 50: B) if10 > y and y < 50: C) if y >= 10 or y <= 50; D) if 10,y ory.50
Answers
We follow the inclusive rule, The answer to the question is (A) that is
if y>=10 and y <=50
What do you mean by intervals?In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.
What are the symbols and their meaning of the intervals?The intervals used are:
(a , b) , All the numbers between a & b without including them.
[a, b] , All the numbers between a & b including them.
y lies in [10,50].
And since it means that it includes 10 and 50 and all the numbers between them.
The final answer is (A) that is if y>1=10 and y <=50.
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The price of technology stock has risen $9.87 today yesterday's price is $9.74 find the percentage increase round your answer to the nearest 10th of a percent percentage.
Answers
Step-by-step explanation:
To find the percent increase, divide the increase by the original price.
P1 = price yesterday
P2 = price today
To find percent increase
\( \frac{(p2 - p1)}{p1} \)
Or to answer the question,
P1 = 9.74
P2 = 9.87
\( \frac{(9.87 - 9.74)}{9.74} = 0.013347\)
Or 1.33%
Which equation best represents the relationship between x and y in the graph?
y= 3x + 3
y= 3x - 1
y= 1/3x + 3
y=1/3x - 1
Answers
Answer:
y = 3x + 3 is the answer tour welcome
Answer:
y= 3x + 1
Step-by-step explanation:
For Plato
Simplify your answer as much as possible.
Answers
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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Mar 15, 12:40:17 PM
A new car is purchased for 28,800 dollars. The value of the car depreciates at a rate of
6.6% per year. Which equation represents the value of the car after 2 years?
OV=28, 800(0.934) (0.934)
OV=28,800(1.066)²
OV=28, 800(0.066)²
OV=28, 800(1-0.066) (10.066)(1-0.066)
Submit Answer
Answers
The correct equation that represents the value of the car after 2 years is: V = 28,800(1 - 0.066)².
What is equation?In mathematics, an equation is a statement that two expressions are equal. An equation consists of two parts: the left-hand side (LHS), which is the expression on the left of the equals sign, and the right-hand side (RHS), which is the expression on the right of the equals sign. The two sides are connected by the equals sign (=). The solution to an equation is the value or set of values of the unknown quantity that makes the equation true. An equation can have one solution, multiple solutions, or no solutions at all. Equations are used extensively in many areas of mathematics, as well as in physics, engineering, economics, and other fields, to model relationships between variables and solve problems.
Here,
Here, OV represents the original value of the car after 2 years, which is the value we are trying to find.
The car depreciates at a rate of 6.6% per year, which means that the value of the car decreases by 6.6% each year. Therefore, the value of the car after 1 year is:
28,800(1 - 0.066) = 26,979.20
To find the value of the car after 2 years, we need to apply the same percentage decrease again to the value after 1 year. Therefore, we multiply the value after 1 year by (1 - 0.066) again:
OV = 26,979.20(1 - 0.066) = 25,334.51
Therefore, the value of the car after 2 years is approximately $25,334.51.
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The chair of the board of directors says, “There is a 50% chance this company will earn a profit, a 30% chance it will break even, and a 20% chance it will lose money next quarter.”
Answers
Answer:
what is the actual question
Step-by-step explanation:
Thats cool that the fictional company have higher probability of getting a profit
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answers
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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What is the average rate of change of f over the interval [-1, 4] Give an exact number.
![What is the average rate of change of f over the interval [-1, 4] Give an exact number.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/YgPcz8CSss8oShSOclp9ORbNnRcBVSH8.png)
Answers
Answer:
1.4
Step-by-step explanation:
The average rate of change is the "rise" divided by the "run".
rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)
rise/run = 7/5 = 1.4
The average rate of change on the interval [-1. 4] is 1.4.
We will see that the average rate of change in the given interval is 1.4
How to find the average rate of change?
For a given function f(x), the average rate of change on an interval [a, b] is given by:
\(r = \frac{f(b) - f(a)}{b - a}\)
In this case the interval is [-1, 4], using the graph we can see that:
f(-1) = -7
f(4) = 0
replacing that in the formula we get:
\(r = \frac{0 - (-7)}{4 - (-1)} = \frac{7}{5} = 1.4\)
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ASAP Scott and Lana booked a cruise that departs from Seward, Alaska, but their flight flew into Anchorage, Alaska. The couple decided to travel from Anchorage to Seward on the Alaska Railroad's non-stop Coastal Classic route to enjoy the 117 miles of beautiful scenery. If the train had traveled 13 miles in 30 minutes, how long, in hours, was the non-stop train ride from Anchorage to Seward?
A. 4.5 hours
B. 18 hours
C. 3 hours
D. 9 hours
Answers
Answer:
A. 4.5 hours
Step-by-step explanation:
We can use a proportion to solve this problem. Let x be the total time in hours for the train ride from Anchorage to Seward. We know that the train traveled 117 miles in x hours, and it traveled 13 miles in 0.5 hours (30 minutes). Therefore:
117 miles / x hours = 13 miles / 0.5 hours
We can cross-multiply to get:
117 miles * 0.5 hours = 13 miles * x hours
Simplifying:
58.5 = 13x
x = 58.5 / 13
x = 4.5 hours
Therefore, the non-stop train ride from Anchorage to Seward took 4.5 hours. Answer: A.
Hope this helps!
Answer:
A. 4.5 hours
Step-by-step explanation:
We can use a proportion to solve this problem. Let x be the total time in hours for the train ride from Anchorage to Seward. We know that the train traveled 117 miles in x hours, and it traveled 13 miles in 0.5 hours (30 minutes). Therefore:
117 miles / x hours = 13 miles / 0.5 hours
We can cross-multiply to get:
117 miles * 0.5 hours = 13 miles * x hours
Simplifying:
58.5 = 13x
x = 58.5 / 13
x = 4.5 hours
Therefore, the non-stop train ride from Anchorage to Seward took 4.5 hours. Answer: A.
Hope this helps!
* Two parallel lines never
intersect. But, can two lines that
intersect ever be parallel to the
same line?
Lines a and b intersect at point P.
A. Drag the points to rotate line
c so that it is parallel to line b.
Can you rotate line c so that it is
also parallel to line a at the same
time as line b?
Construct Transform
Answers
If we rotate the line C at some point it will be parallel to to the line B.
What is intersecting point ?When two or more than two lines intersect each other they share a common point which is called as intersecting point.
In the given question said that two parallel lines never intersect which is true.
But a line intersected at two different points can be parallel to each other.
In the given question if we rotate line C anticlockwise at some point we will notice that it will intersect line B at some point and it will also be parallel to line B.
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