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kvasek [131]
3 years ago
9

Someone help me please thank you

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0
6/7 is the answer I hope it helps
vfiekz [6]3 years ago
4 0
1/1x6/7 =6/7yd is the answer
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Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all possibl
serg [7]

Answer:

P(X=i) where i = 1,2,3,4,5,6,7,8,9,10 = 1/2, 5/18, 5/36, 5/84, 5/252, 1/252, 0, 0, 0, 0.

Step-by-step explanation:

X denotes the highest ranking achieved by the woman.

When X=1, the top ranked person is a female.

When X=2, the first person is a male and the second ranked person is a female.

Similarly, when X=3, the first two ranked persons are male and the third one is a female.

When X=4, the first three persons are male and the fourth one is a female.

When X=5, the first four persons are males and the fifth person is a female.

When X=6, the first five people are males and the sixth person is a female. The rest of the four people are also females since there are only five men in a sample space.

The probability for X=7, 8, 9, 10 is zero because there are only five men who can achieve the first five positions and the last highest rank that can be achieved by a woman is 6.

To compute the probabilities, we will use the formula:

<u>No. of ways a female can be ranked X/Total number of ways to rank 10 people</u>

Note that the total number of ways of ranking 10 different people is 10P10 or 10!

For X=1, the first position can be taken by any of the 5 women. The possible ways of the first person being a woman is 5C1. The rest of the 9 people can take any of the ranks. They can be ordered in 9P9 ways.

So, P(X=1) = (5C1)(9P9)/(10P10) = (5 x 362880)/(3628800) = 1/2

For X=2, the first rank must be taken by a male. The number of ways to arrange the first person as a male out of the 5 men can be calculated by 5P1. The second position must be taken by a female and rest of the 8 positions can be taken by any of the 8 people in 8P8 ways.

So, P(X=2) = (5P1)(5C1)(8P8)/(10P10) = (5 x 5 x 40320)/(3628800) = 5/18

For X=3, first two people must be men and the number of ways to arrange 2 out of 5 males at the first two positions is 5P2. The third position is a female. The rest of the 7 people can be ordered in 7P7 ways.

P(X=3) = (5P2)(5C1)(7P7)/(10P10) = (20 x 5 x 5040)/(3628800) = 5/36

P(X=4) = (5P3)(5C1)(6P6)/(10P10) = (60 x 5 x 720)/(3628800) = 5/84

P(X=5) = (5P4)(5C1)(5P5)/(10P10) = (120 x 5 x 120)/(3628800) = 5/252

P(X=6) = (5P5)(5C1)(4P4)/(10P10) = (120 x 5 x 24)/(3628800) = 1/252

P(X=7) = 0

P(X=8) = 0

P(X=9) = 0

P(X=10) = 0

7 0
3 years ago
The circumference of a circle is 9.58. Find the length of the diameter. Give your answer to 2DP
harkovskaia [24]

Answer:

d≈3.05

Step-by-step explanation:

d= C/π

d=9.58/π

d≈3.04941

d≈3.05

6 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
olga55 [171]
You plug in the point into each equation to see if the answer comes out equal. Such as the first one, so you have y=-3/4x+1. So you plug in the -4 for the x then plug in the -2 for y. So you get -2=1.1875, as you see both sides don't add up. As you progress in Algebra I'm guessing that you're in, you'll progress as the year goes on. So your answers are 3x-4y=-4 and y+2=3/4(x+4). 
4 0
3 years ago
Read 2 more answers
Ming bought 40 pencils and Catherine bought 24. If each package of pencils sold at the store contain the same number of pencils,
sleet_krkn [62]

Answer:

8 pencils.

Step-by-step explanation:

This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.

40= 2x2x2x5

24=2x2x2x3

Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.

5 0
3 years ago
Read 2 more answers
Can someone help me with this ???
Aliun [14]
1) a. Socratics, chegg, khan academy
1) b. They all learning apps that help you understand problems if any subject. It also has online tutors to help you.

2. To insert a square root, just type \sqrt and then the Enter or Tab key to insert the square root symbol.

6 0
2 years ago
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