answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
2 years ago
10

A study group is to be selected from 5 freshmen, 7 sophomores, and 4 juniors. a) If a study group is to consist of 2 freshmen, 3

sophomores, and 1 junior, how many different ways can the study group be selected? b) If a study group consisting of 6 students is selected, what is the probability that the group will consist of 2 freshmen, 3 sophomores, and 1 junior?
Mathematics
1 answer:
HACTEHA [7]2 years ago
4 0

Answer:

175/1001

Step-by-step explanation:

(a.)

Freshman: 5 Combination 2

sophomores: 7 Combination 3

Junior: 4 Combination 1

The combination of three groups :

=5c2 × 7c3 × 4c1

=10 × 35 × 4

=1400 ways

(b.)

=5+7+4=16

=2+3+1

Which is (16 combination 6)

The probability will be:

=(5c2 × 7c3 × 4c1) / 16c6

=1400/8008

=175/1001

You might be interested in
Marcus baked a loaf of banana bread fora party . He cut the loaf into equal size pieces . At end of the party , there were 6 pie
Inessa05 [86]
8 Is total of a whole piece of a whole. So 3 were token from the whole.
6 0
2 years ago
What is the greatest common factor of 16x4y3 and 12x2y7?
Marta_Voda [28]

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two expression

<span>1.     </span>List the prime factors of each number.

<span>2.     </span>Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

16x^4y^3 = ( 4*4)(x*x*x*x)(y*y*y)

12x^2y^7 = (4*3)(x*x)(y*y*y*y*y*y*y)

<span>So common to them is 4x^2y^3 </span>

4 0
2 years ago
In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will
love history [14]

Answer:

1. JG (Jim gets first prize, George gets second prize)

2. JH (Jim gets first prize, Helen gets second prize)

3. JM (Jim gets first prize, Maggie gets second prize)

4. GH (George gets first prize, Helen gets second prize)

5. GJ (George gets first prize, Jim gets second prize)

6. GM (George gets first prize, Maggie gets second prize)

7. MJ (Maggie gets first prize, Jim gets second prize)

8. MG (Maggie gets first prize, George gets second prize)

9. MH (Maggie gets first prize, Helen gets second prize)

Step-by-step explanation:

The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.

The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.

4 0
2 years ago
.PLEASE HELP! As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun
djverab [1.8K]

Answer:

b)When they are on the same side of the Sun, the distance between Mars and Earth is approximately 8 times 10 Superscript 7 kilometers. and c)When they are on opposites sides of the Sun, the distance between Mars and Earth is approximately 3.8 times 10 Superscript 8 kilometers.

Step-by-step explanation:

took on edgenuity 2020

7 0
2 years ago
Christmas Tree lights are used not only for Christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string
puteri [66]

Answer: Hello!

Ok, because the bulbs are wired in series, then if only one fails, all the string fails.

Then we need to see the probability for the 20 bulbs to not fail.

If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98

then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is

0.98^{20} = 0.6676

rounded up in the decimal, we have 0.668

then the correct answer is c.

6 0
2 years ago
Other questions:
  • Jose has an employer-sponsored 401(k) plan that he contributes to, and his employer matches 25% of his contributions. Jose's sal
    14·2 answers
  • alejandro wants to determine the average shoe size of all of the male students in his school. which sample is likely to yield th
    6·2 answers
  • Robert earns $300 each week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and t
    7·2 answers
  • Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
    6·1 answer
  • Which is a description of the graph that would represent the inequality below? <br> 12 – 2x &lt; 16
    15·1 answer
  • What is the sum of 4.108 and 15.23
    14·1 answer
  • The function c=15+9h represents the amount c ( in dollars) it will cost you for a one time lawn care service of h hours. Identif
    9·1 answer
  • Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    11·1 answer
  • Which questions best describes: A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the ov
    7·1 answer
  • Michael started a savings account with $300. After 4 weeks, he had $350 dollars. And after 8 weeks, he had $400. What is the rat
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!