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icang [17]
3 years ago
6

What is 300 is 10 times as much as

Mathematics
1 answer:
Over [174]3 years ago
5 0
30 because 30x10=300
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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
Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the
laiz [17]

Hello, this is a linear problem so we are working with y = mx + b

The problem tells us:

y = total cost

x = the megabytes of data that she used in a month

b = y-intercept, which is the initial value

The problem asks "Which part of the graph will represent the cost per megabyte of data used in each plan?"

It is asking for cost per megabyte... This is a rate. and m = slope = rate

So lets, reiterate.

y = total cost

x = the megabytes of data that she used in a month

b = y-intercept, which is the initial value

m = slope = rate = cost per megabyte of data used

Answer: The slopes of the two lines.

6 0
3 years ago
Area of a pentagon with a radius of 8m
san4es73 [151]
Area = [radius^2 * 5 * sine (360/5)] / 2
area = [64 * 5 * 0.95106] / 2
area = <span> <span> <span> 152.1696 </span> </span> </span>





4 0
3 years ago
Evaluate (solve) the power: 2^9
german

Answer:

The corrext answer is, 512.

3 0
3 years ago
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