All categories

2 years ago

Evaluate the expression. P(9, 3) · P(5, 4)

Mathematics

1 answer:

boyakko [2]2 years ago

6 0

Answer:

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

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

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

Step-by-step explanation:

For this problem we want to find the following expressionÑ

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

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

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

You might be interested in

Please answer this I really need help, Ariel spent a total of $3.42 buying dried apricots from the bulk bins, which were on sale

Kamila [148]

Answer:

1.2 lbs

Step-by-step explanation:

This problem is set up so that the total price is proportional to the price per pound, so to find the proportion you would divide the total cost by the cost per pound. 3.42/2.85 = 1.2, so the answer is 1.2 pounds.

5 0

1 year ago

tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0

2 years ago

Read 2 more answers

Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o

alekssr [168]

Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8

Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.