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Rzqust [24]
3 years ago
11

Can someone please help me in this math sheet

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:

Is there a picture that goes with it?

coldgirl [10]3 years ago
3 0

Answer:

there is no picture

Step-by-step explanation:

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work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
NISA [10]

Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

7 0
3 years ago
How do i solve this ?(x+3)(x-5)=
WARRIOR [948]

(x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15

6 0
3 years ago
Read 2 more answers
The area of the square is 100 square centimeters. What is the area of the circle?
Setler79 [48]

length \: of \: 1 \: side = diameter

area \:  =  {l}^{2}  \\ 100 =  {l}^{2}  \\  \sqrt{100}  = l \\ l = 10

diameter = 2 \times radius \\ 10 = 2 \times radius \\ radius = 5

circle \: area = pi \times  {r}^{2}  \\ circle \: area = 3.142 \times  {5}^{2}  \\ circle \: area = 3.142 \times 25 \\ circle \: area = 78.55 {cm}^{2}

6 0
2 years ago
Read 2 more answers
line k has a slope of -5. line j is perpendicular to line k and passes though the point (5,9) create the equation for line j
Anna71 [15]

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

3 0
3 years ago
how many ways are there to win the jackpot? how many ways are there to match 5 of 6 numbers? how many ways are there to match 4
musickatia [10]

The number of ways to  match 5 of 6 numbers is 6 ways

The number of ways to  match 4 of 6 numbers is 15 ways

The number of ways to  match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C5=\frac{6!}{(6-5)! . 5!}

6C5=\frac{6!}{(1)! . 5!}

6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}

6C5=\frac{6}{1}

6C5= 6 \ ways

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C4=\frac{6!}{(6-4)! . 4!}

6C4=\frac{6!}{(2)! . 4!}

6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}

6C4=\frac{30}{2}

6C4= 15 \ ways

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

nCr =\frac{n!}{(n - r)! . r !}

6C3=\frac{6!}{(6-3)! . 3!}

6C3=\frac{6!}{(3)! . 3!}

6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}

6C3=\frac{120}{6}

6C3= 20 \ ways

∴ 20 ways are to match 3 of 6 numbers

Learn more about Jackpots here :

brainly.com/question/27116420

#SPJ4

6 0
1 year ago
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