All categories

3 years ago

Assume there are 365 days in a year.

1 answer:

4 0

The chance of student 1's birthday being individual is 365/365 or 100%.
Then the chance of student 2's birthday being different is 364/365.
Then it's narrowed down to 363/365 for student 3 and so on until you get all 10 students.
If you multiply all these values together, the probability would come out at around 0.88305182223 or 0.88.

To get all the same birthday you'd have to the chance of one birthday, 1/365 and multiply this by itself 10 times. This will produce a very tiny number. In standard form this would be 2.3827x10'-26 or in normal terms: 0.23827109210000000000000000, so very small.

You might be interested in

A swimming pool is 21.4 feet long and 12.75 feet wide. what area does the pool occupy ?

Serjik [45]

Answer: 272.85
(It’s 21.4 times 12.75)

5 0

3 years ago

Read 2 more answers

The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?

Degger [83]

Answer:

2 degrees and 178 degrees.

Step-by-step explanation:

So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.

180 = x + 89x

We now have to group the x's together:

180 = 90x

Now in order to determine x, we have to divide by 90 on both sides.

X= 2

So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.

4 0

3 years ago

If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?

Ivanshal [37]

Answer:

A. Y=2x+3

Step-by-step explanation:

because im right

7 0

2 years ago

How do you round 38.25

solniwko [45]

Because its under 6 you must round it down to 38.20 if it was 38.68 for example it would be 38.70

4 0

3 years ago

Read 2 more answers

A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long

inn [45]

Answer:

It will take 6.118 minutes to fill up the pool to a depth of 20 cm

Step-by-step explanation:

The first step is to calculate the volume of the wading pool.

we will assume it is a cylinder, hence the volume will be = $\pi r^{2}h$

<em>Where r= radius of the pool = 115/2 = 57.5cm</em>

<em>h = depth of the pool =20 cm</em>

The volume of the pool will be $\pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}$

We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.

To get the time it will take to fill up the pool, we will have to divide as follows:

208,000cm ^{3} / 34000cm^3 =6.118 minutes

Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm

4 0

3 years ago