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2 years ago

Which set of ordered pairs is a function?

Mathematics

1 answer:

raketka [301]2 years ago

8 0

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

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Find the value of the variables in each figure. Explain your reasoning.

sergiy2304 [10]

Answer:

see explanation

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

Each lower base angle is supplementary to the upper base angle on the same side, thus

15x + 30 + 10x = 180 , that is

25x + 30 = 180 ( subtract 30 from both sides )

25x = 150 ( divide both sides by 25 )

x = 6

Also

3y + 18 + 90 = 180 , that is

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24

-------------------------------------------------------------------

2x, 90 and x lie on a straight line and sum to 180 , thus

2x + 90 + x = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

------------

2y and x are alternate angles and congruent , thus

2y = x = 30 ( divide both sides by 2 )

y = 15

4 0

3 years ago

The probability of winning a game is 40%. How many times should you expect to win if you play each number of times? 5 times

Sophie [7]

Answer:

twice

Step-by-step explanation:

to find expected value multiply probablility and number of events

0.40 times 5 = 2.0

3 0

3 years ago

At an antique boat show, 90% of the boats are made of a natural, polished wood. 75% of the boats have some chrome accents on the

nadya68 [22]

Answer:

0.933 ; not independent

Step-by-step explanation:

Given :

A - made from natural polished wood

B - made from chrome accent

P(A) = 0.9

P(B) = 0.75

P(AnB) = 0.7

1.) probability of natural wood Giveb that it has chrome accent

P(A|B) = P(AnB) / P(B)

P(A|B) = 0.7 / 0.75

P(A|B) = 0.933

2.)

For an independent event :

P(AnB) = p(A) * p(B)

P(AnB) = 0.9 * 0.75 = 0.675

However, p(AnB) Given here is 0.7, thus the event aren't independent

3 0

3 years ago

A physical therapist is scheduling appointment for the day. She has six workers comp cases six Medicare patients awaiting care.

Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = $\frac{12!}{(12-7)!7!}$

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases = $\frac{6!}{(6-3)!3!}$

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients = $\frac{6!}{(6-4)!4!}$

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0

4 years ago

Find m 1 and m 2 in the diagram

Marysya12 [62]

Answers:
M for 1 is: 114
M for 2 is: 34

Why?
First you need to find out what the angle is for the corner to the left of angle 1 to do so

180-135 which equals 45

then to find on you take 180 (the sun of all interior angles in a triangle equal 180) and subtract all the angles give...
180-21-45= 114 (which makes since because angle one is obtuse and so is it)
Now for angle to you need to find the corner that is next to angle 1 to do so you do...

180-114 (because angle equals 114) this equals 66

Then you do 180-66-80 to get angle 2 which equals 34

Hope this helps :D

6 0

3 years ago