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1 year ago

. The probability that a patient catches flu is 3/8, the probability that he has a headache

Mathematics

1 answer:

igomit [66]1 year ago

3 0

Answer:

$\boxed {\frac{343}{360}}$

Step-by-step explanation:

<u>Probability Rule</u> :

$\boxed {P(A\cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B \cap C)}$

<u>Solving</u> :

⇒ 3/5 = 3/8 + 5/15 + 4/9 - P (A ∩ B ∩ C)

⇒ P (A ∩ B ∩ C) = 3/8 + 1/3 + 4/9 - 1/5

⇒ P (A ∩ B ∩ C) = 135/360 + 120/360 + 160/360 - 72/360

⇒ P (A ∩ B ∩ C) = (135 + 120 + 160 - 72) / 360

⇒ P (A ∩ B ∩ C) = 343/360

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How many real roots does a quadratic equation have if the discriminant is -3?

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3 years ago

The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

oksano4ka [1.4K]

<h2>Ratio of area of the square to the area of the circle = π/4</h2>

Step-by-step explanation:

Let the side of square be a and radius of circle be r.

The perimeter of a particular square and the circumference of a particular circle are equal.

Perimeter of square = 4 x a = 4a

Circumference of circle = 2πr

Given that

4a = 2πr

$a=\frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

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Area of the circle = πr²

$\texttt{Ratio of area of the square to the area of the circle =}\frac{a^2}{\pi r^2}\\\\\texttt{Ratio of area of the square to the area of the circle =}\frac{\left ( \frac{\pi r}{2}\right )^2}{\pi r^2}\\\\\texttt{Ratio of area of the square to the area of the circle = }\frac{\pi}{4}$

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3 years ago

emma will roll two number cubes labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll t

SashulF [63]

Answer:

75 times

Step-by-step explanation:

First of all let's ook at the 36 possible outcomes and their sums.

2=1,1

3=1,2 2,1

4=1,3 ; 2,2 ; 3,1

5=1,4 ; 2,3 ; 3,2 ; 4,1

6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1

8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2

9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

(5/36) x 540 = 75 times

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3 years ago

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3 years ago

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nlexa [21]

Answer:

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Step-by-step explanation:

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3 years ago