Given:
Total number of members = 30
Number of democrats = 12
Number of republicans = 18
To find:
Number of different committees consisting of 8 democrats and 8 republicans are possible to be formed.
Solution:
Total number of ways to selecting 8 democrats from 12 democrats is
[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]
[tex]^{12}C_8=495[/tex]
Total number of ways to selecting 8 republicans from 18 republicans is
[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{18}C_8=43758[/tex]
Now, number of different committees consisting of 8 democrats and 8 republicans are possible to be formed is
[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]
[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]
Therefore, the total possible ways are 21660210.
Find the linear function with the following properties.
f(0)=−9 Slope of f=−8
Answer:
f(x) = -8x - 9Step-by-step explanation:
GivenFunction f, with
f(0) = -9Slope of f = -8To findLinear functionSolutionSlope-intercept formula
f(x) = mx + bf(0) = -9 means y-intercept b = -9, and the slope is m = - 8So the function is
f(x) = -8x - 9Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
Given that;
There are three high schools, each having four sections of every 24 students
the 2 types of instructions are Standard curriculum & computer based curriculum
a)
this study is experimental
this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards
b)
-important factors are; high schools, instruction type and scores
- Highschool has 2 levels: level one there are three high schools, level 2 each having four sections of every 24 students
-instruction type: has one level which is divided into two namely; standard base and computer based
Scores: doesn't have levels
c)
there are 3 schools and 4 sections so the factor high school has between subjects components
factor instruction type also has between subjects because there are two different types available
there are 24 students in each section which are within subjects
d)
the score on the test is the dependent measures
e)
“STUDENT” in each section is he basic experiment unit of study
Seven hundred fifty-three thousandths as a decimal
Answer:
0.753
Step-by-step explanation:
do 753/1000 and do the long division
Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false
Answer: B
Step-by-step explanation:
HELP PLEASE! I WILL GIVE BRAINILEST!
The graph of the function B is shown below. Find B(1).
O-1
01
02
Answer:
id say -1 though not enough details
Step-by-step explanation:
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
x = 11
Step-by-step explanation:
Convert the measurement:
48 inches to feet
O 5 feet
O 4 feet
2 feet
6 feet
Answer:
4 feet
Step-by-step explanation:
Well, if a foot is 12 inches and you have 48 inches to convert to feet, all you need to do is divide 48 by 12. So,
48/12=4
Therefore, the answer is 4 feet!
Have an amazing day...I hope this helped you out!! C:
Why does the series not exist?
Step-by-step explanation:
(7n − 5) / (2n + 5) approaches 7/2 as n approaches infinity. However, this is an alternating series. So the function is fluctuating between -7/2 and +7/2. So the limit does not exist.
Is 35 - square of 40 greater than 6 pi?
Answer:
yes
Step-by-step explanation:
what is the answer to the first one? pls help
Answer:
Step-by-step explanation:
14.75 - 8.85 = 5.9
5.9/2
Find an expression for the volume of the cubic box.
if a part is 3 cm long how long is it in inches
Answer:
1.1811
Step-by-step explanation:
googloo will help lol it's just your search browser
hope this helps :)
Answer:
3 cm to inches is 1.1811
Step-by-step explanation:
divide the length (3) by 2.54 to get covert cm to in
Brainllist if this helped plx
is 1.5 less than 1.25
Answer:
1.5 > 1.25
Step-by-step explanation:
1.5 is smaller than 1.25
PLEASE HELP IM TIMEZ) What is the value of the arithmetic series below? A. B. C. D.
Answer:
id say its C but I'm not sure
Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.
Answer:
y = 2
Step-by-step explanation:
....................
Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
Answer:
Step-by-step explanation:
From the information given;
We are to take a look at a 2⁵ factorial design.
The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.
An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.
Thus, there are five factors and 2 levels in the experiment.
600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *
Answer:
600 ×1200=720,000
720,000×12=8,640,000
8,640,000×1%=8,640,000÷100%=86,400
86,400 per year
The large Ferris wheel makes a revolution in 60 seconds. The small Ferris wheel makes one revolution in 20 seconds. How many seconds will pass before Jeremy and Deborah are both at the bottom again?
Answer:
120 seconds
Step-by-step explanation:
60 20
120 40
180 60
80
100
120
(x+5) (x+4) give me the answers quick please
[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]
[tex] = (x + 5)(x + 4)[/tex]
[tex] = {x}^{2} + 4x + 5x + 20[/tex]
[tex] = {x}^{2} + 9x + 20[/tex]
Solve and show the steps to the picture attached
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
DATE:
a. Aling Luz bought 3 yards of linen cloth
which cost pnp 72. per yord & She gave Php 10o.
oo to cashier How much change will she tecive.
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but let me help out. I saw a similar question.
Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?
Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:
= 3/8 × 72
= Php 27
Since she gave the cashier Php 1000, her change will be:
= 1000 - 27
= Php 973
which of the following is figure are complementary
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
Answer:
30 dollars
Step-by-step explanation:
Sice he has to make a profit of 300 dollars if you divide 100 by to you get 30.If Sanju sells the artwork at 30 dollars he will make 300 dollars
The price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.
What is profit?The profit is the difference between the selling price and the cost price of an item.
The cost of 10 pieces of artwork is,
Cost of producing 1 piece = $44/10 = $4.4
The Profit on 10 pieces of artwork is,
Profit of each piece = $300/10 = $30
The selling price of each piece of artwork is,
Selling price of each piece = Cost of production + Profit
= $30 + $4.4
= $34.4
Hence, the price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.
Learn more about Profit:
https://brainly.com/question/15036999
#SPJ2
help I need the answers immediately
The answer is Q.
Do you need explanation?
What distance will a car traveling at a speed of 15 m/s cover in 300 s?
Distance formula: d = st
d = 15 * 300
d = 4,500m
So they will travel 4,500m! Have a nice day and mark brainliest if possible :)
[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]
[tex]4500 \: m[/tex]
Step-by-step explanation:
[tex]d = s \times t[/tex]
[tex]s = 15[/tex]
[tex]t = 300[/tex]
[tex]d = 15 \times 300[/tex]
[tex]d = 4500[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
10x - 6 = 6x + 6
i need the answer but i think its 3
Answer:
= 3
Step-by-step explanation:
Add 6 to both sides of the equation 10 − 6 = 6 + 6
10x-6=6x+6 10x−6=6x+6
Simplify Add the numbers Add the numbers again 10 = 6 + 12
Subtract 6 from both sides of the equation
10 = 6 + 12
10−6=6+12−6
Simplify
Combine like terms
Combine like terms again
4 = 12
Divide both sides of the equation by the same term
4=12
[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]
Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.
x = 3
Need help Fast Inputs & outputs : equation
Answer:
-3
Step-by-step explanation:
-9t-4=23
-9t=27
t=-3
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Step-by-step explanation:
this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.
The objective function is
Maximize
35A+42B+20C=P
subject to constraints(board and wicker)
The constraints are
board
7A+5B+4C=3000
wicker
4A+5B+3C=1400
A>0, B>0, C>0
Date:10/16/20
1. The largest river in the world is the Nile River. It is 4,132 miles long. The
longest river in the United States is the Missouri River. It is 2,540 miles long.
Which is the best estimate of the difference in the lengths of the Nile and
the Missouri rivers?
a. 1,000 miles
b. 1,600 miles
c. 2,000 miles
d. 6,600 miles
2. Each year, the NYC Humane Society works to raise as much money as
possible for the animal shelters. Last month, they raised $14,392 from donations
and $456,892 from pet adoptions. About how much money did they raise
altogether?
the answer to 1 is d and the answer to 2 is 471,284. Please review this topic when you get time.hope this helps
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer