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11Alexandr11 [23.1K]
3 years ago
9

Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (roun

d to the nearest integer).
A) 35 units2
B) 50 units2
C) 60 units2
D) 70 units2
Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

The answer is 70 units2

Step-by-step explanation:

D = dx

2 + dy

2

W = (5-10)

2 + (10-5)

2

W = (5)

2 + (5)

2 = 7.071

L = (5-12)

2 + (10-17)

2

L = (7)

2 + (7)

2 = 9.899

A = LxW = (9.899)(7.071) = 69.9958 units

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Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
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  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

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5 0
2 years ago
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

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which would probably round to just 3848 people.

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3 years ago
At a conference for 500 people, 30% of the participants are French, 15% are Americans, 5% are Germans, and are of other national
Olenka [21]
As said before, 160 is the correct answer
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4 years ago
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