1. A group of 20 students: 2 freshmen, 4 sophomores, 6 juniors and 8 seniors - are trying to get onto a
committee to select a new math teacher. How many different groups of six can be chosen?

Answers

Answer 1

Answer:

38760 ways

Step-by-step explanation:

20 C 6 = 38760


Related Questions

What is the area of the shaded region?
O 21 mm²
O24 mm²
O 42 mm²
48 mm²

Answers

24 mm^2

Reasoning:
The area of the big triangle will be: (6+4+2)(5)(0.5). The answer will be equal to 30 mm^2. The area of the smaller triangle will be: (4)(3)(0.5). The answer will be 6 mm^2. Next, subtract the area of the larger triangle by the smaller triangle (30-6). The final answer will then be 24mm^2.

Sorry if this may have been confusing. I had to do this on my phone.

What is the probability that a person chosen at random from this group has brown or green eyes? startfraction 3 over 25 endfraction startfraction 7 over 25 endfraction startfraction 13 over 25 endfraction startfraction 17 over 25 endfraction

Answers

Using it's concept, it is found that the probability that a person chosen at random from this group has brown or green eyes is of [tex]\frac{13}{25}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that the group has 20 + 6 + 17 + 7 = 50 people, of which 20 + 6 = 26 have brown or green eyes, hence the probability is given by:

p = 26/50 = 13/25.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ4

60 . 25 ,20 15 . ?​

Answers

Answer:

15, 21, 27, 33, 39, 45, 51 67, 59, 51, 43, 35, 27, 19

20, 27, 34, 41, 48, 55, 62 64, 58, 52, 46, 40, 34, 28

66, 60, 54, 48, 42, 36, 30 6, 12, 18, 24, 30, 36, 42

72, 68, 64, 60, 56, 52, 48 5, 13, 21, 29, 37, 45, 53

50, 47, 44, 41, 38, 35, 32 12, 15, 18, 21, 24, 27, 30

60, 55, 50, 45, 40, 35, 30 19, 22, 25, 28, 31, 34, 37

54, 52, 50, 48, 46, 44, 42 8, 9, 10, 11, 12, 13, 14

69, 62, 55, 48, 41, 34, 27 2, 9, 16, 23, 30, 37, 44

24, 26, 28, 30, 32, 34, 36 3, 7, 11, 15, 19, 23, 27

52, 50, 48, 46, 44, 42, 40 16, 19, 22, 25, 28, 31, 34

70, 65, 60, 55, 50, 45, 40 55, 54, 53, 52, 51, 50, 49

4, 12, 20, 28, 36, 44, 52 11, 15, 19, 23, 27, 31, 35

21, 28, 35, 42, 49, 56, 63 61, 60, 59, 58, 57, 56, 55

10, 15, 20, 25, 30, 35, 40 18, 19, 20, 21, 22, 23, 24

25, 33, 41, 49, 57, 65, 73 58, 56, 54, 52, 50, 48, 46

yan yung bilang TXS me later ;-)

The sum of multiples of five from 10 to 75, inclusive.

Answers

The asked sum of multiples of five from 10 to 75, inclusive, is 595.

To find the sum of multiples of five from 10 to 75, inclusive, we can use the formula for the sum of an arithmetic series:

Sum = (n/2) * ([first term] + [last term])

Following the given case, the first term (a) is 10, the last term (l) is 75, and the common difference (d) between consecutive terms is 5 (since we are considering multiples of five).

The number of terms (n) can be calculated as:

n = (last term - first term) / common difference + 1

Let's calculate the number of terms first:

n = (75 - 10) / 5 + 1

n = 65 / 5 + 1

n = 13 + 1

n = 14

Now, we can determine the sum of the multiples of five:

Sum = (14/2) * (first term + last term)

Sum = 7 * (10 + 75)

Sum = 7 * 85

Sum = 595

Therefore, the asked sum of multiples of five from 10 to 75, inclusive, is 595.

Learn more about the arithmetic series here:

https://brainly.com/question/34016107

#SPJ12

solve pls brainliest

Answers

Answer:

The ans of first one is 0/8 = 0

and 6÷0 = undefined....hope this helps:)

Answer:

1) 0/8 = 0
2) 6/0 = Undefined

Detailed Answer:

Zero divided by any number gives zero.
Diving any number by zero is undefined.

What is the greatest common factor of 12, 2, and 84?

Answers

Answer:

2

Step-by-step explanation:

2 can go into 12,2, and 84

To obtain the greatest common divisor of (g.c.d) we must do it in simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

  [tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 2 \ \ \ 84}\\ \ 6 \ \ \ 1 \ \ \ 42 \end{matrix}\right|\begin{matrix} 2\\ \: \end{matrix} \end{gathered}$}[/tex]

As we can see the number 2, is the only common prime number.

The greatest common factor of 12, 2, and 84 is 2.

Question 9
Expand and simplify (2x-7)(3x-8).

Answers

Answer:

=> Expand by applying the FOIL method

[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]

=> combine like terms

[tex]6x^2-37x+56[/tex]

The triangle and the trapezoid have the same area what is the base b of the triangle

Answers

Answer:

b =22

Step-by-step explanation:

The formula to calculate the area of a trapezoid:

1/2*(a+b)*h : (a: base, b: base, h: height)

The formula to calculate the area of a triangle:

1/2*a*h (a: base, h: height)

All inputs are given for trapezoid so let's first find the area of trapezoid then we can find the value of b:

1/2*(10+12)*7 = 77 cm^2 is the area of trapezoid

now for the area of triangle:

1/2*b*7 = 77 (it was given that the areas are equal)

first we multiply both sides by 2

7*b = 154 now divide both sides by 7

b = 22

Solve the following equation:
1. 5-3x = -6(x+2)

Answers

Step-by-step explanation:

5 - 3x = -6 ( x + 2 )

5 - 3x = -6x - 12

-3x + 6x = - 12 - 5

3x = - 17

[tex]x = - \frac{17}{3} .. \\ [/tex]

Answer:

Exact Form:

x = −17/3

Decimal Form:

x = − 5.6

Mixed Number Form:

x = − 5  2/3

(b) A bag contains five red counters and 3 blue counters. One counter is taken at random from the bag. What is the probability of obtaining a red counter?




please can your help !!!!!​

Answers

Answer:

p(obtaining a red counter) = 0.625

Step-by-step explanation:

The total number of counters in the bag is 5 + 3 = 8.

and only 5 are red.

Then

the probability of obtaining a red counter is :

[tex]= \frac{5}{8} = 0.625[/tex]

which of the following is the missing value in the table above?

Answers

Answer:

Answer is A 216

Step-by-step explanation:

252×6=1512

1512÷7=216

Which pairs of polygons are similar?

Select each correct answer.

Answers

Answer: Similar are marked in the picrure.
Reason: if you check the ratio of the dilation from one to the other, the two that are similar have the same ratio for all sides. The other two figures have a varied ratio for the sides.

Simplify the algebraic expression by combining like terms. -7x² +19x²
Simplify your answer.

Answers

Wouldn’t u just subtract 7 from 19 since they have the same variable

Help please!!!!!!! I'm so confused about this

Answers

Answer: I think the answer is A (4,6)

Step-by-step explanation:

Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)

what is the probability that the first marbles you choose is red and the second is blue

Answers

Answer:

2/9

Step-by-step explanation:


hich represents the inverse of the function f(x) = 4x?
Oh(x)=x+4
Oh(x)=x-4
h(x) = ²x
h(x) = x

Answers

Answer:

[tex]h(x) = \frac{1}{4} x[/tex]

Step-by-step explanation:

To find the inverse of a function, the steps are:

Let y= f(x)Make x the subject of formulaReplace x with f⁻¹(x) and y with x

In this case, since h(x) is the inverse function of f(x), we can replace x with h(x) in step 3.

_____

f(x)= 4x

Let y= f(x) [tex]\textcolor{steelblue}{\text{ - step 1}}[/tex]

y= 4x

Divide both sides by 4:

[tex] \frac{1}{4} y = x[/tex]

[tex]x = \frac{1}{4} y \: \: \: \textcolor{steelblue}{\: \text{ - step 2}}[/tex]

Replace x with h(x) and y with x:

[tex]\bf{h(x) = \frac{1}{4} x} \: \: \: \textcolor{steelblue}{\: \text{ - step 3}}[/tex]

Additional:

For a similar question on inverse functions, do check out the following!

https://brainly.com/question/21287415

Is ab parallel to cd? explain.

yes, because both lines have a slope of 4/3.
yes, because both lines have a slope of 3/4
no, because the slopes of the lines are not equal.
no, because the slopes of the lines are not opposite reciprocals of each other.

don't copy answers off of sites, otherwise i'd report you

Answers

Both lines are parallel because: A. both lines have a slope of 4/3.

What is the Slope of a Line?

The slope of a line = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

The slope of parallel lines are the same, while the slope of perpendicular lines are negative reciprocals.

Slope of AB = 4 units/3 units = 4/3

Slope of CD = 4 units/3 units = 4/3

Both lines have the same slope, therefore, they are parallel to each other.

Learn more about slope on:

https://brainly.com/question/1542999

#SPJ1

Help me I need the answer on paper help me now

Answers

Answer:

a) k = 10              b) k = 7.5

Step-by-step explanation:

a)

( 5k+ 20 ) + ( 7k + 40 ) = 180

12k + 60 = 180

12k = 120

k = 10

b)

40 + ( 12k + 10) + 180 - ( 8k + 80 ) = 180

50 + 12k + 180 - 8k - 80 = 180

50 + 12k -8k - 80 = 0

50 + 4k - 80 = 0

30 = 4k

k = 7.5

1. Hair Grows an average of. 5 inches in one month. At this rate, how many months will it take to grow 4 inches?

2. A person who weighs 105 pounds on earth would weigh 17.5 pounds on the moon. How much would a 150 pound astronaut weigh on the moon? ​

Answers

1. It would take 8 months to grow 4 inches of hair.

2. A 150 pound astronaut would weigh 25 pounds on the moon.

Question 15 of 25
What is the value of x in the diagram below?
49
LY
14
2

Answers

The answer is 7, it’s just a simple division question. You can also tell because the 14 went to a 2.

What is the square root of 45

Answers

What is the square root of 45?

Answer: 3√5
Look at the photo below and you shall revive your answer

Sandeep grew 6 plants with 3 seed packets. With 11 seed packets, how many total plants can Sandeep have in his backyard? Solve using unit rates.

Answers

Answer:

22 plants

Step-by-step explanation:

Because 6/3 is 2/1 so 11 seed packets will grow 22 plants.

What is the slope of the line shown below (3 9)(-4 2)

Answers

Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )

m = [tex]\frac{2-9}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

Ayuda por fa es para hoy

Answers

Translation: please help it's due today

Would love to help but there is no question to answer

What is the length of the diagonal from B to D of this rectangle? Round your answ
to the nearest tenth of a metre.

Answers

Answer: 19.7

Step-by-step explanation:

By the Pythagorean theorem,

[tex](BD)^{2}=8^{2}+18^{2}\\\\(BD)^{2}=388\\\\BD=\sqrt{388} \approx \boxed{19.7}[/tex]

Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
installment loan has an APR of 10% for 36 months. Find the a) down payment, b) amount financed, c) monthly
payment, d) total amount repaid, and e) finance charge.

Answers

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

How is periodic payment computed?

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

Data and Calculations:

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at https://brainly.com/question/13098072

#SPj1

y=-8x+1 find the slope and y-intercept in this equation.

Answers

the slope is -8 and the y intercept is 1
the slope is always the number in front of the x and the y intercept is always the number by itself
hope this helps!

What are the roots of the equatio
x² - x -42=0

Answers

[tex]x^2-x-42=0\\x^2+6x-7x-42=0\\x(x+6)-7(x+6)=0\\(x-7)(x+6)=0\\x=7 \vee x=-6[/tex]

Answer:

The roots are 7 and -6.

Keys:

[tex]ax^2+bx+c=0[/tex][tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]-(-a)^(^n^) = a^(^n^)[/tex][tex]\sqrt[n]{a}^n = a[/tex][tex]1^a = 1[/tex]

When you see a ± in a quadratic equation, you will have multiple solutions; more than one.

Step-by-step explanation:

solve the main expression

[tex]x^2-x-42=0\\x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}}{2\cdot \:1}\\\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}\\=\sqrt{\left(-1\right)^2+4\cdot \:1\cdot \:42}\\\rightarrow \left(-1\right)^2\\=1^2\\=1\\\rightarrow 4\cdot \:1\cdot \:42\\=168\\=\sqrt{1+168}\\=\sqrt{169}\\=\sqrt{13^2}\\=13\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:13}{2\cdot \:1}[/tex]

solve for x₁

[tex]\frac{-\left(-1\right)+13}{2\cdot \:1}\\=\frac{1+13}{2\cdot \:1}\\=\frac{14}{2\cdot \:1}\\=\frac{14}{2}\\=7[/tex]

solve for x₂

[tex]\frac{-\left(-1\right)-13}{2\cdot \:1}\\=\frac{1-13}{2\cdot \:1}\\=\frac{-12}{2\cdot \:1}\\=\frac{-12}{2}\\=-\frac{12}{2}\\=-6[/tex]

HELP!!!

A box has one red marble one blue marvel and four green marbles of the same shape and size Dan draws a marble randomly from the box places it and then draws another marble randomly what is the probability of drawing two green marbles in a row explain your answer

Answers

Answer: 1/16

Step-by-step explanation:

Given that there are 4 green marbles, when Dan takes a marble the first time, the probability is 1/4 as there are 4 green marbles. When he puts it back and draws another one, the probability is still 1/4 because Dan didn't take the marble out of the bag(this is known as with replacement)

∴ the total probability of drawing 2 green marbles with replacement is 1/4 × 1/4= 1/16

Hope this helps

-3(2t-1)=t+t+t+3 pls help

Answers

Answer:

t=0

Step-by-step explanation:

First, we expand everything. The left-hand side is -3(2t) - 1(-3), and we expand it to be -6t+3. The right-hand side is t+t+t+3, and we can reduce it to 3t+3. Now that we have both sides of the equation, we set them to each other.

-6t+3=3t+3 (subtract 3 on both sides)
-6t=3t (add 6t to both sides)
9t =0 (divide by 9)
t=0

Other Questions
please explain ,,,,, A, B & C lie on a straight line.BD = CD.BDC = 40 and ADB = 45. Work out x What does the stage direction "the women do not unbend" emphasize about the women? they are not the least bit offended, and they remain focused on the case. they are not comforted by his words, and they remain together. they welcome his courtesy and respect, knowing that he values their opinions. they look to the men for security and safety, hoping to gain respect. Solve for x*105X+35X+250 S120R Identify the slope and y-intercept of the line y=3/5-3 Write the following inequality in slope-intercept form. 5x-5y>70 View the video.This sign signifies a group that would include Please help!!!! which sentence uses the subjunctive mood correctly? Can you help, please? :) Adriana is interested in an education in the culinary arts, but she doesnt want to go to a cooking school at this time. Why might a community college program be a good alternative for her?A. Community colleges are usually more prestigious.B. The same skills can be acquired at significantly lower cost.C. Most famous chefs went through community college programs.D. A career in the culinary arts always requires a professional degree. B: if x is 6, what is y? A journey is often used as an extended metaphor of the passage of life itself, of our passing through time. recognizing that possibility, how would you interpret the deeper the figurative meaning of the poem? Inga is solving 2x2 + 12x 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.2(x2 + 6x + 9) = 3 + 182(x2 + 6x) = 32(x2 + 6x) = 3x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot2(x2 + 6x + 9) = 3 + 9 There is an initial population size of 11; after 3 births, 4 deaths, 2 immigrationsand 5 emigrations---what is the remaining population size?6789None of the above What is the surface area of the triangular prism shown?In a test rn!! A right triangular prism. The height of the prism is 25 centimeters. The sides of the triangular ends have lengths 9 centimeters, 12 centimeters, and 15 centimeters. 86 cm2 1,008 cm2 1,350 cm2 1,080 cm2 Read the excerpt from "Introduction to Poetry" by Billy Collins.I ask them to take a poemand hold it up to the lightlike a color slideor press an ear against its hive.Which line from the excerpt contains a metaphor?"I ask them to take a poem""and hold it up to the light""like a color slide""or press an ear against its hive" What would you be willing to do to survive something like the Holodomor? One bag of bird seed weighs 20.25 pounds. What is the weight of 7 bags of the bird seed? TutPablo is keeping an equal number of square and rectangular boxes in a local storage facility.He stores square boxes in stacks of 3 and rectangular boxes in stacks of 5. What is thesmallest number of each type of box that Pablo could have?boxesSubmit Find the amount of moneyaccumulated after investing aprinciple P for years t at interestrate r, compounded continuously.P = $12,000 r = 7.5% t=7 Which promotional technique can help an organization achleve its short-term sales objectives