Answer:
183,600 ways
Step-by-step explanation:
TOPIC : PERMUTATION & COMBINATION
Question: In how many ways can a committee of 6 members - with at least 2 women - be selected?
In other words, how many ways are there, to select a committee of 6 members including at least 2 women?
* Permutation deals with the orderly arrangement of items while Combination deals with the manner of selection of items from a group, without regard to order. In other words, this question has to do with Combination.
There are 12 women and 18 men and you're to select 2 women and 4 men.
The combination for men and women will be found separately and then multiplied together.
WOMEN: 2 OUT OF 12
12! ÷ [2! × (12 - 2)!] = 12! ÷ [2! 10!]
= 12×11×10×9×8×7×6×5×4×3×2×1 = 479,001,600 = 66
2×1 ×10×9×8×7×6×5×4×3×2×1 7,257,600
MEN: 4 OUT OF 18
18! ÷ [4! (18 - 4)!] = 18! ÷ [4! 14!]
= 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2×1 = 3,060
4×3×2×1 ×14×13×12×11×10×9×8×7×6×5×4×3×2×1
ANSWER:
₁₂C₂ × ₁₈C₄ = 66 × 3060 = 183,600
2y+1<7 answer that question
Answer:
y < 3
Step-by-step explanation:
2y + 1 < 7
~Subtract 1 to both sides
2y < 6
~Divide 2 to both sides
y < 3
Best of Luck!
oskjdkeowjbsndkwowjhdnekowu
Answer:
heifefhdhduhvndbaiuhdlfd
Step-by-step explanation:
What is the name for the smallest multiple that two whole numbers share?
A
greatest common factor
B.
infinite multiple
с
least common multiple
D
prime factor
Answer:
C. least common multiple
Help please he sure that you are correct find the coordinates that’s it tysm will mark brainiest
Answer:
(1, 0)
Step-by-step explanation:
1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.
Karie's dog weighs 18 pounds. How many ounces does the dog weigh?
Answer:
288 ounces
Step-by-step explanation:
Answer:
288 oz.
Step-by-step explanation:
According to Google.. I hope this helps you. Have a wonderful day/night. :3
Solve for x:
6 + x = 6(1 + 7x)
parallelogram ABCD has the following vertices A(0,8) B(8,4) C(2,-8) D(-6,-4) is parallelogram ABCD a rectangle, and why
Answer:
Yes, because BC is perpendicular to AB, and ABCD is a parallelgram.
Yes the parallelogram is a rectangle.
What is distance formula?The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
Given:
ABCD is parallelogram, so its opposite sides are equal in length.
i.e., AB= CD and AD= BC
Now,
d=√(8−0)²+(4−8)
d=√(8)²+(−4)²
d=√64+16
d=√80
d=√(−6−2)²+(−4−(−8))²
d=√(−8)²+(4)²
d=√64+16
d=√80
so, AB = CD
Similarly, AD= BC = √180
Hence, a quadrilateral whose opposite side are equal called as rectangle.
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A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use
Answer:
15x20/300
Step-by-step explanation:
you multiply 15 and 20 then didvide that answer to 300
These are the points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
Let ;
The hour spent in mow lawns is represent by x,
And represent the hour spent for gardening by y.
According to the question;
He charges $15 per hour to work mow lawns .
And $20 per hour to gardening .
Total no. of hours allowed to work = 20 hours per week
Then the inequality to represent the cost constraint will be,
15x+20y ≥ 300
Since,
He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,
x + y ≤ 20
On solving the inequalities,
15(20-y) + 20y = 300
300 - 15y + 20y = 300
5y= 0
y = 0
For value of x put y = 0
x + 0 = 20
It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300
All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.
A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or for a negative amount of money.
So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
For more information about system of inequalities click the link given below.
https://brainly.in/question/32858820
2x + 4 = -8 X= ? Me need help .
Answer:
x = -6
Step-by-step explanation:
2x + 4 = -8
Subtract 4 from both sides, -8 - 4 is -12
2x = -12
Divide 2 from both sides
x = -6
Describe how to model two digit by two digit multiplication using an area model
Answer:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.
Step-by-step explanation:
can i have brainliest plz :)
Fill in the blank. The critical value tα/2 that corresponds to a ________% confidence level with 1000 degrees of freedom is 2.33.
Answer:
The critical value tα/2 that corresponds to a 98% confidence level with 1000 degrees of freedom is 2.33.
Step-by-step explanation:
From the question we are told that
The critical value is [tex]t_{\frac{\alpha }{2} } = 2.33[/tex]
From the student's t distribution table the probability of [tex]( t > 2.33)[/tex] at a degree of freedom of 1000 is
[tex]\frac{\alpha }{2} = (t > 2.33 ) = 0.01[/tex]
Hence the level of significance is mathematically evaluated as
[tex]\alpha = 2 * 0.01[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the confidence level is mathematically represented as
[tex]C = 1- \alpha[/tex]
=> [tex]C = 1- 0.02[/tex]
=> [tex]C = 0.98[/tex]
Converting to percentage
=> [tex]C = 0.98 * 100[/tex]
=> [tex]C = 98\%[/tex]
PLEASE HELP ASAP WILL GIVE BRAINLISET ANSWER TO FIRST
Answer: I say 12.5 miles
Step-by-step explanation:
The cost of a monthly cell phone plan is represented by the expression 0.35m+55, where mis
the number of text messages sent.
What could the 55 represent?
plz answer!!!! Ill give brainly to first RIGHT person!!!!!
Answer:
D
Step-by-step explanation:
If it was 2/4, percent is 50% greater than 0, but less than 100
2/4 decimal 0.5 between 0 and 1
8. Nineteen out of
twenty people are
born right-handed.
What is this ratio as a
decimal?
A man earned wages of $36,300, received $2200 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of S6300. The interest on his home mortgage was $7800, he contributed $2900 to charity, and he paid $1750 in
state taxes. Find his gross income, adjusted gross income, and taxable income Base the taxable income on the greater of a standard deduction or an itemized
deduction
Answer:
Gross income = $38500
Adjusted gross income = $35800
Taxable income = $13000
Step-by-step explanation:
1. Gross income = wages + interest received
Gross income = $36,300 + $2200
Gross income = $38500
2. Adjusted gross income = Gross income - adjustments
Adjusted gross income = $38500 - $2700
Adjusted gross income = $35800
3. Taxable income = adjusted income - (exemption + deductions)
Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)
Taxable income = $35800 - $22800
Taxable income = $13000
what is 2/3 divided by 1/2?
Answer:
4/3
Step-by-step explanation
When dividing fractions you flip the secod fraction then multipy.
Hope this helps :)
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
Answer:
there is no slope
Step-by-step explanation:
there is no graph or points sooooooo
Which one is greater less than and or equal to?
Answer:
a greater than
b equal to
C equal to
d greater than
Convert 26.7% to an
equivalent decimal.
Answer: 26.7
First, you must remove the percentage sign, then you will get a equivalent decimal.
When we remove the % sign, we get 26.7.
The answer is 26.7. Hope this helps!
It is found that 26.7% as an equivalent decimal is 0.267.
LEt the value of which a thing is expressed in percentage is "a' so the percent that considered thing is of "a" is b%
However percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To convert 26.7% to an equivalent decimal, we simply divide it by 100:
26.7% ÷ 100
26.7/ 100 x 100 = 0.267
Therefore, WE can conclude that 26.7% as an equivalent decimal is 0.267.
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NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below
Answer:
when the leading coefficient is negative it will affect the right and left side to also be negative
Step-by-step explanation:
Does this graph represent a function? Why or why not? A. No, because it is not a curve. B. No, because it fails the vertical line test. C. Yes, because it passes the vertical line test. D. Yes, because it has two straight lines.
Answer:
I think it is because it passes the vertical line test. or b
Step-by-step explanation:
Answer this to get brainliest
Goodluck!! (●'◡'●)
People come visit me but rarely stay long. I can be clean but am often very dirty. People usually reveal to me a part of them that they rarely show others. What am I?
Answer:
private part
Step-by-step explanation:
A triangle has the given vertices. Classify the triangle by its sides. Then determine if it is a right
triangle.
A(-4,4), B(0,1), C(-4,-2)
Answer:
c
Step-by-step explanation:
im passed the assgnment
please help me with this math
Tim paid 216.14, tax included, for a stereo system. If he paid $17.39 in sales tax, what percent sales tax did Tim pay?
Answer:
about 8 percent in sales tax
Using the diagram to find the value of x.
Answer:
x i a 90 degree anglt
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Sum of all angles = 360°
85° + x + 35° + 2x = 360°
3x + 120° = 360°
3x = 360° - 120°
3x = 240°
x = 80°
HELP FOR THE TRUE/FALSE
Answer:
True, eating cooked vegetables provides more nutrients than eating raw vegetables.
Answer:
1. false 2.true 3. true 4.true 5.true
Step-by-step explanation:
A system of linear equations is given by these equations 3y-2x=9 and y=-2x+5
Answer:
It would be (3/4,7/2).
Please help! I’m terrible at math. You have a box that is 2 by 3 by 5. How many cubes does it hold? How do I figure out the answer?
Answer:
38 cubes
Step-by-step explanation:
The volume is calculated by multiplying the length x width x height. So the volume of this box is 30 cm3.
Assuming the cube is 1 x 1 x 1 (volume= 1cm3), then 30 cubes would be able to fit into the box. (30/1 = 30)
However, if the cube is 2x2x2, it would be able to fit 8 cubes.
