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Anna007 [38]
3 years ago
11

When a transversal crosses through two parallel lines, what are the properties of these angle relationships? (Congruent or Suppl

ementary)
Vertical Angles :

Linear Pair :

Alternate Interior Angles :

Consecutive Interior Angles :


Alternate Exterior Angles :


Corresponding Angles :
Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

Step-by-step explanation:

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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
1 year ago
You get a 27% discount on a sweater that is $18 sales tax is 8.4% how much is it after text total cost
Oduvanchick [21]

Answer:

27/100×18=4.86

8.4/100×18=1.512

total is 6.372

4 0
3 years ago
An increase in which of the following causes GDP to decrease?
Svetradugi [14.3K]

Answer:

B

Step-by-step explanation:

The GDP measures the market value of all goods and services produced in an economy (country or region) in a specific period of time. The GDP formula is:

GDP= Consumption (C)+ Investment (I)+ Government expenditure (G)+ (Exports - Imports) (Net exports)  

Notice that if exports increase, GDP will increase too. Also, if investment increases GDP will increase. Notice that imports have a negative sign, then if they increase, GDP will decrease.

5 0
2 years ago
The world's largest pumpkin pie weighed 2020 pounds. The pie was 12 and one-third feet across and one-third foot thick. Write a
Yanka [14]

Answer:

\frac{1}{3} = \frac{2}{6}

To find equivalent fractions, multiply be any number that is the same for the numerator/denominator

You can also divide, but it must be divisible by both the numerator/denominator

5 0
3 years ago
Solve −6x+6−7=2x+8 for x. How would I solve this?
MakcuM [25]

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -\frac{9}{8}

7 0
3 years ago
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