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GaryK [48]
3 years ago
8

Expand the following : 2( x-1)

Mathematics
2 answers:
zloy xaker [14]3 years ago
6 0

Answer:

2x-2

Step-by-step explanation:

2 * x + 2 * -1

=2x - 2

DENIUS [597]3 years ago
3 0

Answer:

2x-2

Step-by-step explanation:

You multiply 2 by x and add it to 2 times -1, which gives you 2x-2

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If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of
rosijanka [135]

Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.

<h3>Definition of Probabitity</h3>

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

<h3>Complementary event</h3>

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

  • C: The event that a chef likes carrots.
  • B: The event that a a chef likes broccoli.

Then you know:

  • P(C)= 0.13
  • P(B)= 0.72

In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:

P(C∪B)= P(C) + P(B) -P(C∩B)

Then, the probability that a chef likes carrots and broccoli is calculated as:

P(C∩B)= P(C) + P(B) -P(C∪B)

In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:

P [(C∪B)']= 1- P(C∪B)

In this case, the probability of those who like neither is 0.22

0.22= 1 - P(C∪B)

Solving

0.22 - 1= - P(C∪B)

-0.78= - P(C∪B)

- (-0.78)= P(C∪B)

<u><em>0.78= P(C∪B)</em></u>

Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:

P(C∩B)= 0.13 + 0.72 -0.78

Solving:

P(C∩B)= 0.07=  7%

Finally, the probability of those who like both is 0.07 or 7%.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1

6 0
2 years ago
Cody was looking at his streaming music stats. The Ratio of songs he liked to disliked was 5:6. If he listened to 1,078 songs to
aivan3 [116]
1078 / (5+6) = 98
Like - 5 x 98 = 490
Dislike - 6 x 98 = 588
6 0
3 years ago
A grocery store purchases melons from two distributors, J &amp; K. Distributor J provides melons from organic farms. The distrib
harina [27]

Answer: green.                

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A human heart beats an average of 80 beats per minute.How many beats is this in an hour?express your answer in scientific notati
nlexa [21]

Answer:

4,800

Step-by-step explanation:

Sorry I don't know how to explain it scientifically but I know how to do the calculations

1) Theres 60 minutes in an hour

2) 80x60= 4,800 beats

4 0
3 years ago
Be helpful please !
kolbaska11 [484]

Answer:

ANSWER: angle <1 = 140°

3 0
3 years ago
Read 2 more answers
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