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love history [14]
3 years ago
10

A classroom has ten students. Three students are freshman, two are sophomores, and five are juniors. Three students are randomly

selected (without replacement) to participate in a survey. Consider the following events: A = Exactly 1 of the three selected is a freshman B = Exactly 2 of the three selected are juniors Find the following probability. If needed, round to FOUR decimal places. Pr(A∩B) = ___________
Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer:

0.25

Step-by-step explanation:

We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

(3C1)(5C2)=(3)(10)=30 and

Pr(A∩B)=30/120=0.25

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9 × [(21 − 4) − 9 what is the answer when you find out pls let me know!!!
lyudmila [28]

Answer:

72 is the answer

21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.

3 0
3 years ago
Mutleys journey began on a boat, 2 feet above sea level. He dove down to twelve feet below sea level and then returned to the su
Lubov Fominskaja [6]

Answer:

Mutley would start at 2 feet above sea level or +2, he would then travel 12 feet below sea level (-12) to then return to the surface of the ocean (0).  The integers from least to greatest:  -12, 0, 2.  Visual:

-12(dive level) * * * * * * * * * * * 0(sea level) * 2(boat)

Step-by-step explanation:

Using positive and negative integers, we can determine Mutleys journey above, below and at the surface of the ocean.  The surface of the ocean represents his 'origin' or starting point, which is 0.  The boat is above the surface or +2.  When Mutley dives below the surface, he is at a negative level of the ocean.  Think of it in terms of a number line - negative numbers are to the left of 0 and positive numbers are to the right of 0.  The further we go to the left on the number line, the lower our number.  In this case, -12 would be furthest to the left, then 0, followed by 2.  

6 0
3 years ago
How can parallel lines be used to compare figures E and F? Explain your reasoning.
Aneli [31]

Answer:

The similarities are

1) The length of E and F can be described by two parallel lines spaced 3 blocks apart where the parallel line on the left of both E and F is 2 blocks long, while the parallel line on the right is one block long

2) Both height of E and F can be described by two parallel lines spaced 2 blocks apart  where the parallel line on the top of both E and F is 3 blocks long, while the parallel line at the bottom is one block long

3) The interior of E an F can be described by parallel lines 2 blocks long in the horizontal portion and one block long in the vertical portion

The differences are

1) The difference between E and F is that the parallel lines used for the construction of E are all one block higher than that of F

2) The other difference is that all the lines used for the construction of the figure E are 3 blocks to the left of those used for the construction of F

Figure F is essentially the translation of figure E three blocks to right and one block down

Step-by-step explanation:

3 0
3 years ago
Divide. Write the answer in simplest form.<br><br> 1/2 divided by 5/6
DaniilM [7]

Answer:

the answer is 3/5

4 0
3 years ago
I need help with 8th grade math please hurry and correct answer please 40 points
scoundrel [369]

Answer:

2664.3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 πr³

Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.

8 0
2 years ago
Read 2 more answers
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