All categories

3 years ago

P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

P( A U B) = 37/50

Step-by-step explanation:

7/20+3/5+21/100

IF YOU NEED MORE HELP LMK

il63 [147K]3 years ago

6 0

Answer: The required value of P(A∪B) is $\dfrac{37}{50}.$

Step-by-step explanation: For the two event A and B, we have the following probabilities :

$P(A)=\dfrac{7}{20},~~P(B)=\dfrac{3}{5},~~P(A\cap B)=\dfrac{21}{100}.$

We are to find the following probability :

$P(A\cup B)=?$

From the laws of probability, we have

$P(A\cup B)\\\\=P(A)+P(B)-P(A\cap B)\\\\=\dfrac{7}{20}+\dfrac{3}{5}-\dfrac{21}{100}\\\\\\=\dfrac{35+60-21}{100}\\\\\\=\dfrac{74}{100}\\\\\\=\dfrac{37}{50}.$

Thus, the required value of P(A∪B) is $\dfrac{37}{50}.$

You might be interested in

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

Please help! 20 points thanks :)

Reika [66]

Answer:

-5

Step-by-step explanation:

The equation for slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

We can plug in the given coordinates into the equation:

$Slope=\frac{-2-3}{3-2}=\frac{-5}{1}=-5$

5 0

2 years ago

Factor 3x^3 - 15x^2 + 18x.

Usimov [2.4K]

Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

8 0

2 years ago

A digital camera for 249.99 at 4% sales tax

spin [16.1K]

First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

4 0

3 years ago

You are determining the mass of an object using a triple beam balance. When the pointer is lined up with the zero mark, the ride

Molodets [167]

328 grams is the mass.

3 0

3 years ago