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Kipish
2 months ago
7

Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?

Mathematics
1 answer:
lawyer [12.5K]2 months ago
6 0

Answer:

p(B) = 8310

Detailed explanation:

We will apply the addition rule of probability for two events to address this question. According to the formula for two events A and B;

p(A∪B) = p(A)+p(B) - p(A∩B) where;

A∪B signifies the union of both sets A and B.

A∩B designates the intersection of the two sets A and B.

Given parameters

P(A)=15

P(A∪B)=1225

P(A∩B)=7100

Goal

To find the probability of event B, represented as P(B).

Using the above expression, we can calculate p(B); thus:

p(A∪B) = p(A)+p(B) - p(A∩B)

1225 = 15 + p(B) - 7100

Therefore, p(B) = 1225 - 15 + 7100

p(B) = 8310

Therefore, the missing probability p(B) is 8310.

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The perimeter of angle ABC is 98 centimeters. If the radius circle A is twice the radius of circle C and the radius of circle B
tester [12383]

Answer: Circle C has a radius of 7 cm.

Explanation:

Referring to the illustration below:

Let's denote the radius of circle C as x.

Circle A's radius can be represented as 2x.

Circle B's radius can be expressed as 4x.

The length of side AC in triangle ΔABC becomes x + 2x = 3x.

For side BC of triangle ΔABC, we get 4x + x = 5x.

Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.

Given that the perimeter of triangle ΔABC totals 98 cm.

Remember, the perimeter refers to the total length around the triangle.

Hence, Perimeter = 6x + 5x + 3x = 98 cm.

Thus, 14x = 98.

From this, we find x = \frac{98}{14}.

Therefore, x = 7.

This concludes that the radius of circle C is 7 cm.

8 0
2 months ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
zzz [12365]

Answer:

Step-by-step explanation:

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a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 standard deviations = 2(20) = 40

Thus, this means the range for 2 standard deviations is

20-40, 20+40

which equates to (0,60)

P(0

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2 months ago
LMN is a straight angle. Find m LMP and m NMP​
PIT_PIT [12445]

Answer:

(-16x + 13)° + (-20x + 23)° = 180° (ángulo recto)

-16x° + 13° - 20x° + 23° = 180°

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-36x° = 144°

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x° = 36°

Espero que puedas conocer esta respuesta

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