All categories

3 years ago

Estimate how many tennis balls can fit into a small room

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

a tennis ball has a diameter of about 2.5 inches

so volume of a tennis ball is: 4/3 x pi x r^3 = 8.2 cubic inches ( estimating you could say 8 cubic inches

1 cubic foot = 1728 cubic inches

so you could fit 1728/8 = 216 tennis balls in a cubic foot.( estimated)

you would then need to calculate the volume of the room

lets say a small room is 9 foo by 9 foot by 8 feet high

9 x 9 x 8 = 648 square feet

now multiply the 216 by the square feet of the room

216 * 648 = 139,968tennis balls

now because they are round, there will be empty space around them

so you could estimate about 139,000 tennis balls would fit I a 9 x 9 room that is 8 feet high.

You didn't give the dimensions of the room, but this gives you the idea of how to estimate

You might be interested in

I need to know all the answers

Scilla [17]

Answer: that’s all it says.

Step-by-step explanation:

8 0

3 years ago

Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr

Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002$

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

8 0

1 year ago

Julia's service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount befor

Ivan

Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
   = (1/5) * 72.60
   = 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
      = 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
   = 696.96/100
   = 6.969
   = 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
   = 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.

5 0

2 years ago

Which graph contains the points of intersection satisfying this linear-quadratic system of equations?

Alexeev081 [22]

The answer is ur the imposter vote him off

4 0

2 years ago

ALGEBRA 2 HW PLZ HELP (show work plz)

fredd [130]

Answer:

a. 272 feet

b. 8 seconds

c. 1,296 feet

d. 17 seconds

Step-by-step explanation:

A) The function is $-16t^{2}$ +256t+272

The y-intercept is 272, meaning that's where he started at (since he launched himself when x=0).

B) You can find this either by entering it into a calculator and looking at the table, or by factoring (no calculator). To factor, separate -16 from the rest of the terms since everything in the polynomial ( $-16t^{2}$ +256t+272) can be divided by -16. It should look like this:

-16( $t^{2}$ -16t-17)

Then factor it:

-16(t-17)(t+1)

From the factored version, we can tell that the x-intercepts are 17 and -1. The maximum would be right in the middle of these. 8 is the value directly in between 17 and -1.

C) To find the y-value of the maximum, just solve the original equation using 8, the x-value for the maximum:

-16( $8^{2}$ )+256(8)+272

-16(64)+2,048+272

-1,024+2,320=1,296

D) We already figured out the x-intercepts earlier. Since he can't reach the ground at -1, we know that he landed (touched the ground at y=0) at x=17.

8 0

3 years ago