An undergraduate class has 24 biology majors and 17 chemistry majors. Eight students must be chosen at random to represent an event organizing committee. What is the probability of choosing exactly two chemistry majors

Answers

Answer 1

Answer: 0.19158

Step-by-step explanation:

Given: An undergraduate class has 24 biology majors and 17 chemistry majors.

Total students needs to be selected = 8

Number of ways to select 8 students out of 41= [tex]^{41}C_8[/tex]

Number of ways to select exactly two chemistry majors (i.e. rest 6 will be biology majors) = [tex]^{24}C_6\times ^{17}C_2[/tex]

Required probability = [tex]\dfrac{^{24}C_6\times ^{17}C_2}{^{41}C_8}[/tex]

[tex]=\dfrac{\dfrac{24!}{6!(24-6)!}\times\dfrac{17!}{2!(17-2)!}}{\dfrac{41!}{8!(41-8)!}}\\\\=\dfrac{134596\times136}{95548245}\\\\= 0.19158[/tex]

The probability of choosing exactly two chemistry majors = 0.19158


Related Questions

there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run​

Answers

Answer:

Riley ran 5 miles (26400 / 5280= 5)

Step-by-step explanation:

5280 times 5 equals 26400.

Answer:

5 miles

Step-by-step explanation:

26400/5280=5

Angle KLM and angle MLN are a linear pair.
Ray LR is to be added to the diagram so that it is
opposite ray LM. Which is true about angle RLN that
would be formed?
M
к
CL
N
Angles RLN and MLK would be vertical angles.
Angles RLN and MLN would be vertical angles,
Angles RLN and KLM would be a linear pair.
O Angles RLN and KLN would be a linear pair.

Answers

Answer:

Angles RLN and KLM would be a linear pair.

Angles RLN and MLK would be vertical angles.

Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.

Edge exam 2022

if jeremiah has a course average score between 80 and 89, he will earn a grade of B in his history class. He has four previous exam scores of 69, 78, 81, and 92. The final exam score has twice the weight of each of the other exams. What range of scores on the final exam will earn Jeremiah a B in the course?

Answers

Answer:

The range of scores that can earn Jeremiah a B in the course is 80 - 100

Step-by-step explanation:

Average = total scores/number of exams

For an average of 80, considering the final score has twice the weight of the previous exams;

Note: since the final score has twice the weight of previous exams, it is considered a double score and counted twice

Let the lowest final score for a B grade be y

80 = (69 + 78 + 81 + 92 + 2 * y)/6

80 * 6 = (320 + 2y)

2y = 480 - 320

y = 160/2

y = 80

Let the highest final score for a B grade be z

89 = (69 + 78 + 81 + 92 + 2 * z)/6

89 * 6 = (320 + 2z)

2z = 534 - 320

z = 214/2

z = 107

Since, the highest score in the exam cannot exceed 100,

Therefore, the range of scores that can earn Jeremiah a B in the course is 80 - 100

You are so brainly right now.​

Answers

Answer:

I know right

Step-by-step explanation:

YEAH I GUESS SO WANNA PLAY AMONG US

The largo middle school track team needs new uniforms. The students plan to sell push you tigers (the school mascot) for $5. The students find three companies online that sell stuffed mascots.

A.which company has the lowest cost per tiger?

B. If they use the company, how much profit will the students make for each tiger sold?

P.s-I REALLY NEED HELP!!!! This question is worth 60 points

Answers

Answer:

Company C has the lowes cost per tiger at $2.74. (Divide the prices by the number of stuffed animals, in this case, $41.10/15)

$2.26 would be their profit.

Step-by-step explanation:

To find how much money they have to pay for each stuffed animal, you have to divide the prices by the number that would be sold. For example, for Company C, it would be $41.10 divided by 15. When you do that with all the companies, you'll find the Company C is the cheapest.

You find their profit by subtracting $2.74 from $5. They sell it for $5, but they did have to use $2.74 to buy the stuffed animals. $5 - $2.74 = $2.26

Hope this helps! ^-^

Company C has the lowest cost per tiger.

Students will make a profit of $2.26 for each tiger sold.

What is division?

The division is the process of dividing a number by a given number.

Note that company A offers 12 tigers for $33.24, therefore, divide 33.24 by 12 to get the cost of one tiger,

Cost of one tiger in company A = $33.24/12 = $2.77

Similarly,

The cost of one tiger in Company B = $44.80/16 = $2.8

The cost of one tiger in Company C = $41.10/15 = $2.74

Clearly, company C has the lowest cost per tiger.

Now, students will buy tigers from Company C for $2.74 per tiger and sell them for $5, therefore, the profit from selling one tiger will be 5-2.74=2.26.

To learn more about division click here:

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PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

y= 4x+12

Step-by-step explanation:

Slope of this line: 4

So we can write in point slop form: y+1= 4(x+3)

Simplify = y+1=4x+12

More simplifying: y=4x+12

This is the answer

What is the value of x in the equation 3x - y = 18, when y = 27? 5 7 0 45 63​

Answers

Answer:

x=15

Step-by-step explanation:

3x-27=18

3x=18+27

3x=45

x=45/3

x=15

Answer:

ITS 7

Step-by-step explanation:

I got the other ones wrong and i checked what was the correct answer and it said it was 7

One plane can travel 20 miles per hour faster than another. One of them goes 420 miles in the same time it takes
the other to go 390 miles. What are their speeds?

Answers

Answer:

I think the..............

Find the volume of the region bounded by z=12−y,z=y,y=x2, and y=6−x2. (Use symbolic notation and fractions where needed.)

Answers

Answer:

The volume V of the region = 80

Step-by-step explanation:

The objective is to find the volume of the solid region bounded by z = 12 - y

Given that the portion of solid between the planes z = 12 - y and z = y; over the region R in the xy - plane bounded by y = x² and y = 6 - x²

Thus;  R = { (x,y)/-2 ≤ x ≤ 2, x² ≤ y 6 - x² }

Then the volume is computed as follows:

[tex]V = \int \int_R [(12 -y) -y] \ dy. dx[/tex]

[tex]V = \int^2_{-2} \int ^{6-x^2}_{x^2} (12-2y) \ dy \ dx[/tex]

[tex]V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 72 -24x^2-36+12x^2 \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} [36-12x ^2] \ dx[/tex]

[tex]V = \begin {bmatrix} 36x - \dfrac{12x^3}{3}\end {bmatrix}^2_{-2}[/tex]

[tex]V =2 \begin {bmatrix} 72 - \dfrac{96}{3}\end {bmatrix}[/tex]

V = 80

A nursery has two hundred 7-gallon palm trees to sell, consisting of Coconut Palm trees, x, Saw Palmetto Palm trees, y, and Christmas Palm trees, z. Coconut Palm trees

sell for $75 each, Saw Palmetto Palm trees sell for $45 each, and Christmas Palm trees sell for $30 each. A developer purchases all of the nursery's palm trees for a total

price of $12,300. The nursery has three times as many Saw Palmetto Palm trees as Christmas Palm trees. Write a system of linear equations to represent this situation.

A 2+y+z=7

75x + 45y + 30z = 12,300

y = 32

B. x+y+z= 12,300

75x + 45y + 30z = 200

y = 32

C. 2 + y + z = 200

752 + 45y + 30z = 12,300

y = 32

D. 2+y+z= 200

753 + 45y + 30z = 12,300

z=3y


is it a, b,c or d

Answers

Answer:

The answer is option D. Note: the option is not properly formatted

D. x+y+z=200----------------1

    75x+45y+30z=12300-------2

     z=3y---------------3

Step-by-step explanation:

 In this problem, we want to model the expression to represent the situation

let the numbers of trees be

Coconut Palm trees be x,

Saw Palmetto Palm trees be y, and

Christmas Palm trees be z.

total trees =200

x+y+z=200----------------1

also costs are

Coconut Palm trees= $75 each

Saw Palmetto Palm trees = $45 each

Christmas Palm trees =$30 each

cost of all trees =$12,300

75x+45y+30z=12300----------------------2

z=3y---------------3

The system of equation is

x+y+z=200----------------1

75x+45y+30z=12300-------2

z=3y---------------3

Help pleasee! I need to find the domain and range

Answers

Answer:

Domain: (-∞, -4) U (-4,∞)

range: (0,∞)

Bob throws a fair four-sided die, after which Alice throws a fair and independent six-sided die. What is the probability that they obtain the same number?

Answers

Answer: 1/6.

Step-by-step explanation:

The possible outcomes of Bob are {1, 2, 3, 4}

The possible outcomes of Alice are {1, 2, 3, 4, 5, 6}

Notice that the outcome space of Bob is included in the outcome space of Alice.

Now, Bob rolls his dice and gets an outcome between 1 and 4, let's suppose that the outcome is a 2.

Now, Alice needs to roll a 2 in her 6-sided dice.

The 2 appears one time, and there are 6 possible outcomes:

The probability will be equal to the probability for each number, this i:

P = 1/6.

And will be the same for any outcome in Bob's roll, so the probability that they obtain the same number is 1/6.

Please help with question 1 im confused

Answers

Answer:

Subtract 9m from both sides of the equation.

Step-by-step explanation:

Subtract both 9 from each of the sides of the equation(C)

two apples and 5 bananas cost 4.20
three apples and seven bananas cost 5.95

Answers

what’s the question?

ANSWER THIS PLS (A.) how is your day (B.) what's your beast threat/roast

Answers

Answer:

Some one called me the b word and I said at least I’m cute dog  you look like a frog

Step-by-step explanation:

Answer:

My day is good, thank you! My best roast for thanksgiving is chicken on top of veggies!

Step-by-step explanation:

I need help with this question ASAP thank you?

Answers

Answer:

D. 3/4

Step-by-step explanation:

In order for the transformed line to be less steep than f(x), it must have an "a" value less than the slope of f(x). The slope of f(x) is 1, therefore, the only number less than 1 is 3/4.

Find the sum of 2 1/9 + (-2/9) + 3 5/9​

Answers

Answer:

5 4/9

Step-by-step explanation:

Answer:

Exact Form:

49 /9

Decimal Form:

5. 4   repeating

Mixed Number Form:

5  4 /9

Step-by-step explanation:

Simplify 9x-7=-7 txnysvjrznjdnjrvnjdcjufvbhg HELP

Answers

Answer: = 0

Step-by-step explanation:

9 − 7 = − 7 9x-7=-7 9x−7=−7 9 − 7 + 7 = − 7 + 7 9x=0 9 9 = 0 9

8w - 4 = 28
It's a two step equation

Answers

Answer: w = 4

Step-by-step explanation:

8w - 4 = 28

      +4 = 32

8w = 32

/8       /8

w = 4

Answer:

w = 4

Step-by-step explanation:

Given: 8w - 4 = 28

Add 4 to both sides: 8w = 32

Divide both sides by 8 to isolate w: w = 4

The net of a triangular prism is shown.

What is the surface area, in square inches, of the triangular prism?

Answers

Answer:

The surface area would be 198² in.

Ben bought a 2 pizza for $20.40, and a brownie for $5.40, and a chocolate milkshake for $6.50 with extra chocolate, he also payed $10 for tips. He had $60 to spend, how much did he have balance?

Answers

Answer:

$17.70

Step-by-step explanation:

Total money he has - $60

2 pizzas, a brownie = $20.40 + $5.40 = $25.80

A milkshake with $10 tips = $6.50 + $10 = $16.50

Totally = $25.80 + $16.50 = $42.30

Balance - $60 - $42.30 = $17.70

He had $17.70 balance

Hope you understand

:-)

Where d you like to go

Answers

Answer:

the park

Step-by-step explanation:

Answer:

Your mom's house

Step-by-step explanation:

HELP !! It’s due in 30 minutes!!

Answers

Answer:

T< 11,3 > / a translation by 11 units to the right and 3 units up :]

Answer:

11 units to the right & 3 units down.

HELP WILL GIVE BRANLIEST AND EXTRA POINTS! Please give an explanation

Answers

Answer:

C. 82/3 is the correct answer

Step-by-step explanation:

A. √27 is incorrect because it is equal to 5.2

B. 5^2 is incorrect because it is equal to 25

D. √602 is incorrect because it is equal to 24.5

soooo...

The only correct answer is C. 82/3 because it equals 27 1/3 or 27.3

Hope this helps!

What i te value of x in this equation 4x = 5x - 15?

Answers

Answer:

15

Step-by-step explanation:

[tex]4x - 5x = - 15[/tex]

[tex] - x = - 15[/tex]

[tex]x = 15[/tex]

i think this is the answer

x=15
5x-4x= 1
1x divide by 15 = 15
hope this helps

A bead store buys beads at wholesale prices to sell them at a 75% markup. If a strand of beads costs the store $9.14, what is the selling price for a strand of beads

Answers

Answer:

it would sell for $15.99

Step-by-step explanation:

9.14(1.75) = 15.99

solve for b: 8ab=c thanks (:

Answers

Answer:

You must move the a and 8 to the other side of the equation. Just divide both sides by 8a.

B = c \ 8a.. c over 8a

The value for b is c/8a.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

8ab=c

Now, solving for b

8ab= c

ab= c/8

or, b = c/8a

Hence, the value for b is c/8a.

Learn more about Equation here:

https://brainly.com/question/29657983

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PLEASE HELPPPPP MEEEEEEEE!!!!!! 50 POINTS!!!!!!!!!! PLEASEEEEEEEEEE

Answers

Answer:

1) (2,1)

2) (-2,3)

3) (0,3)

4 (0,1)

5) (-1,-1)

6) (-1,-3)

(2,1) (-2,3) (0,3) (0,1) (-1,-1) (-1,-3) Step-by-step explanation: I just used a graphing calculator, I hope this helps!!

Please help me Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.

Answers

Answer:

Its a counting number and a whole number so thirdd one

Step-by-step explanation:

Answer:

D-5 is an integer, but not a whole number.

got that right on edge!

Step-by-step explanation:

hope this helps:)

418.42 plus 13.587 i do not know the answer and I am not very good at math because of family problems. thats not the point but i need help.

Answers

Answer:

432.007

Step-by-step explanation:

418 + 13 = 431

0.42 + 0.587 = 1.007

   431

+     1.007

 432.007

Hope this helps! <3

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