. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.

Answers

Answer 1

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

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

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]

Total outcomes:

10 students froms a set of 50. so

[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]

Approximately 0% probability of the group contains exactly seven seniors and three juniors.


Related Questions

Solve:
(Vx + 2)(Vx - 2) = 0
X=

Answers

Answer:

x = 4

Step-by-step explanation:

Given:

(√x + 2)(√x - 2) = 0

Required:

Find x

SOLUTION:

√x(√x - 2) + 2(√x - 2) = 0 (distributive property)

x - 2√x + 2√x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

while shopping for clothes Jaclyn spent 38 less than 2 times what Daniel spent. Jaclyn spent $10. Writes and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.

How much did Daniel spend?

Answers

38-(2•x)=10 < equation
$14 < Dylan spent

the angles between two hands of a clock 5 o clock is​

Answers

Answer:

150 degrees

Step-by-step explanation:

each 10 minutes equals 30 degrees in a clock

Riley got 6 out of 10 problems correct on her practice
test. If there are 150 problems on the actual test,
predict how many problems Riley will get correct.
Assume this relationship is proportional.

Answers

Answer:

90

Step-by-step explanation:

6/10 of 100 is 60, now add half of that, 30, add those together 60+30=90.

Answer:

my answer is 90

Step-by-step explanation:

i gogt 90 and i solve it too

i can’t figure out how to do this

Answers

Answer:

i need to know the answer choices

Step-by-step explanation:

Answer:

-25 is correct I think

Step-by-step explanation:

The table shows a function. Is the function linear or nonlinear?

x y

7 20

8 12

9 7

Answers

the answer is linear

The density of ethyl acetate at 25 degrees is 0.902 g/ml. How many pounds would 133 ounces weigh

Answers

Answer:

[tex]8.3125[/tex]pounds

Step-by-step explanation:

We are given that

Density of ethyl acetate at 25 degrees =[tex]0.902g/ml[/tex]

We have to find the number of pounds in 133 ounces weigh.

To find the number of pounds in 133 ounces we will use unitary method

By using unitary method

We know that

1 ounce=0.0625 pounds

133 ounce=[tex]133\times 0.0625[/tex]pounds

133 ounce=[tex]8.3125[/tex]pounds

Hence,8.3125 pounds would 133 ounces weigh.

What is the correct answer?​

Answers

I think it is 5.64 I hope this helps

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

What is the value of z in the equation 2 (4z − 9 − 11) = 166 − 46? (1 point)
A. 15
B. 20
C. 30
D. 35

Answers

Answer:

B. 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

BELE
What is the slope of the line represented by the equation y = -- 5x?
-5
Nm nm is

Answers

The slope is -5.cause the formula for slope is y=Mx+b and in this equation -5 is the slope

Predict whether the product is greater than, less than, or equal to 2/3

Answers

Answer:

Greater than.

1 1/27 or 28/27.

Step-by-step explanation:

You're multiplying more than 2/3, so it is greater than.

2/3 x 1 5/9 is the same as 2/3 x 14/9. The answer to this is 28/27. Simplify to a mixed number which is 1 1/27.

Hope it helps!

Answer:

2/3 is less than and the answer is 28/27 = 1  1/27 = 2/3 x 1  5/9

Step-by-step explanation:

2/3 x 1  5/9 = 28/27 = 2/3 x 14/9 = 1  1/27

2/3  ≤ 28/27 = 1  5/9

94 – 3( -7 + ( 5 – 8 ) ^2 )

Answers

Answer:

142 is the correct answer (PEMDAS)

science 8th grade 10 pts
What best explains the relationship between photosynthesis and cellular respiration?

The higher the rate of formation of products in respiration, the lower the rate of photosynthesis.
Photosynthesis depends on the carbon dioxide released during cellular respiration.
Cellular respiration depends on the water released during photosynthesis.
They have the same set of product molecules.

Answers

Answer:

Photosynthesis depends on the carbon dioxide released during cellular respiration.

Step-by-step explanation:

22 points

Help ASAP Please

Given the equation y = -3x + 1 find the values for y given the value x

If x = 3 then y =

If x = -3 then y =

If x = 4 then y =

If x = -2 then y =

Answers

Answer:

If x = 3 then y = -8

If x = -3 then y = 10

If x = 4 then y = -11

If x = -2 then y = 7

hope this helps! ask me if you don’t understand!

A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is

Answers

Answer:

290d + 245

Step-by-step explanation:

Hello! So what you do first is make two equations, then combine them.

For the food booths, the equation would be 15(4d) + 150

For the game booths, the equation would be 23(10d) + 95

Now simplify them.

Food booths: 60d + 150

Game booths: 230d + 95

Next, we combine the two equations to get one equation.

60d + 150 + 230d +95

Simplify even more...

290d + 245

This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!

In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.

Answers

uhhhhhbhhhhbhhhhhhhhh

Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game

Answers

Answer:

6.10 for 1 and 4.50 . for 2

Step-by-step explanation:

pls help me pls help me pls help me

Answers

Step-by-step explanation:

area of triangle = 1/2 × base × height

= 1/2 × 6×4

= 12 cm²

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

thankyou.

I think it’s 12cm but I am not sure sorry dude

Cuáles son los divisores de 7 y 2 a la vez​

Answers

Answer:

72 o de 7 y 2

Step-by-step explanation:

7: 7 y 1

2:2y1

72:1 2 3 4 5 6 8 9 12 24 36 y 72

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug

Answers

Answer:

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not a user of an illegal drug.

Event B: Tests negative.

The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)

This means that [tex]P(B|A) = 0.9[/tex]

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.

So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]

What is the probability that an athlete tests negative and is not a user of an illegal drug

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Find the 4th term in the sequence
with the following definition:
a1 = 2
an = (an-1)2

Answers

The sum of the first four terms of the given sequence which is aₙ = (aₙ ₋ ₁)² is gotten as; 278

How to solve arithmetic sequence?

We are given the arithmetic sequence as;

a₁ = 2

aₙ = (aₙ ₋ ₁)²

We already have the first term. Thus;

Second Term;

a₂ = (a₂ ₋ ₁)²

a₂ = 2² = 4

Third Term;

a₃ = 4²

a₃ = 16

Fourth Term;

a₄ = 16²

a₄ = 256

Thus;

Sum of first four terms is;

S₄ = 2 + 4 + 16 + 256

S₄ = 278

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

#SPJ2

Answer:

a1=2 an-(an-1)2 = 256

Step-by-step explanation:

Which statements are true about the graph shown below. There are more than one answer.

Answers

Answer:

cant see the choices what the graph is a function

Step-by-step explanation:

30 PTS
Please make sure its easy to understand

Answers

Answer:

explanation:

Step-by-step explanation:

1: Well, of course since you’re going below sea level, the number is gonna be negative. so you’re gonna take -240 + -12. which is -252. but then you’re gonna take the -252 and add POSITIVE 80. so now if you take -252 + 80 you get -172. so the diver is 172 meters below the surface

2: -127.1

3: The highest temperature is POSITIVE 110°F. But since the lowest one is NEGATIVE 34°F, you’re gonna want to take 110 - 110 to get 0, then go 34 less than 0. so 110 + 34 is 144. so the difference is 144°

pls pls pls pls help, i will mark brainliest

Answers

Answer:

B)  81°

Step-by-step explanation:

∡1 ≅ ∡5 because they are corresponding angles

∡5 ≅ ∡7 because they are vertical angles

therefore, ∡1 ≅ ∡7

since the angles are equal we can create the following equation:

3x + 18 = 2x + 39

x + 18 = 39

x = 21

∡7 = 2(21) + 39

∡7 = 42 + 39

∡7 = 81

please help me find slope

Answers

Answer:

the slope is 3 because y2-y1/x2-x1 is equal to your slope.

5-2 is 3 and 2-1 is 1, 3/1 is equal to 3.

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Have a great Thursday!

:)

How do you use Trigonometric Ratios to solve Real-world problems

Answers

9514 1404 393

Explanation:

Obviously, the way you use trig ratios will depend on the problem. The problems you see in algebra and trig courses are a good sampling of the kinds of problems you run across in the real world. Some of them include ...

  finding height or widths based on a measure and an angle (SOH CAH TOA)

  finding areas based on side lengths and an angle (area formula)

  finding unknown sides or angles of a triangle (law of sines/cosines)

  finding bearing and/or distance (spherical trig relations, law of cosines)

__

As with solving problems of any kind, you choose the appropriate formula(s), fill in the known values, and solve for the unknown values. Sometimes a real-world problem will require solution of intermediate problems before the answer to the original question is found.

A ladder is leaned against a wall with its base 6m from the wall. The ladder makes a 50 degree angle with the ground. How long is the ladder?

Answers

Answer:

b

Step-by-step explanation:

9 is 15% of what number?

A.24

B.60

C.85

D.135​

Answers

Answer: B.60

Step-by-step explanation:

9 divided by 15%=60

Multiply Binomials
(x + 3)(2x + 1)

Answers

Answer: 2x^2 + 7x + 3

Step-by-step explanation:

(x+3)(2x+1)

(2x^2+1x+6x+3)

2x^2 + 7x + 3

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