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jekas [21]
2 years ago
6

(-12,14) and (6,-1) write a linear equation

Mathematics
1 answer:
jarptica [38.1K]2 years ago
8 0

Answer:

Step-by-step explanation:

this is were they should go

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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
I need help on this question
vodka [1.7K]

Answer

Arc EF = 52°

Arc HD = 142°

Angle HGF = 128°

Explanation

To solve for the unknown angles, we need to first solve for x

To do that, we need to first note that the sum of angles on a straight line is 180°

So,

Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)

Angle HCG = 2x

Angle HCD = 6x + 28°

Angle HCG + Angle HCD = 180°

2x + 6x + 28° = 180°

8x + 28° = 180°

8x = 180° - 28°

8x = 152°

Divide both sides by 8

(8x/8) = (152°/8)

x = 19°

Angle HCG = 2x = 2 (19°) = 38°

Angle HCD = 6x + 28° = 6(19°) + 28° = 142°

So, we can solve for the rest now

Arc EF = Angle ECF

= 90° - Angle ECD

Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)

Arc EF = Angle ECF

= 90° - Angle ECD

= 90° - 38°

= 52°

Arc HD = Angle HCD = 142°

Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°

Hope this Helps!!!

6 0
1 year ago
How can i solve 2/7m - 1/7 = 3/14
Ostrovityanka [42]
Answer: 2/7+1/7=3/14
8 0
3 years ago
By Substitution<br> -6x + 6y = 6<br> -6x + 3y = -12
butalik [34]

Answer:

x = 5 & y = 6

Step-by-step explanation:

hi see the pic for the steps

7 0
3 years ago
Read 2 more answers
How many tenths are in one whole? How many hundredths?
lisabon 2012 [21]
10 tenths in a whole, 100 hundredths in a whole.
5 0
2 years ago
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