Ask question

Ask question

All categories

2 years ago

15

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

1 answer:

igomit [66]2 years 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

You might be interested in

Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour after the time that she first checked

kakasveta [241]

Answer:A not b or c or d A!!

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

3 years ago

Divide 6 feet 6 inches by 5

tigry1 [53]

6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches

5 0

3 years ago

Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the

nika2105 [10]

Answer:

A- 3x2= 6

6 divided by 2 is 3

B- flip it around with division first

Step-by-step explanation:

8 0

3 years ago

Solve the quadratic equation 3x^2-9x+1=0.<br> Please help.

viva [34]

Answer:

Exact Form-9+√69÷6

Decimal form-2.88443731

Step-by-step explanation:

8 0

3 years ago