Answer:
3cm
Step-by-step explanation:
The formula for the volume of the cuboid is ![w*l*h=volume](https://tex.z-dn.net/?f=w%2Al%2Ah%3Dvolume)
We already have the length, width, and volume, so we have to plug it in to the equation.
(Just a heads up in case you didn't know: the centimeters cubed is just part of the units, so you don't need to worry about it when plugging it in to the equation.)
To solve for h:
1. Multiply 15 and 10
![150*h=450](https://tex.z-dn.net/?f=150%2Ah%3D450)
2. Divide both sides by 150
![h = 450/150](https://tex.z-dn.net/?f=h%20%3D%20450%2F150)
h = 3
This is in centimeters, so the final answer is 3cm.
Answer:
the new position of a point, a line, a line segment, or a figure after a transformation
Step-by-step explanation:
9 x 9 x 21 = 1,701 hope this helps
Answer:
1440
Step-by-step explanation:
We're given the word ‘STRANCE’ STRANCE happens to be a 7 letterered word. It contains just 2 vowels A and E, with 5 consonants S, T, R, N and C. We're told to arrange in a way that the vowels occupy only the odd places, so in the word, there exist 4 odd places. The 1st, 3rd, 5th and 7th spot.
The two vowels can be arranged in 4P2 ways. This means that the remaining 5 consonants can be arranged among themselves in a 5P5 ways. Using the permutation formula, we know that
P (n, r) = n!/(n – r)!, so
P (4, 2) * P (5, 5) =
4!/(4 – 2)! * 5!/(5 – 5)! =
4!/2! * 5! =
(4 * 3 * 2!)/2! * 5! =
(12 * 2!)/2! * 120 =
(12 * 2)/2 * 120 =
12 * 120 = 1440
Answer:
0.0001899
Step-by-step explanation:
Total number to be selected from= 22
The number to be chosen for the event in an ordered sample is 5 from 22 people= 22C5
Where 22 Is the total number of possibilities and 5 is the no of selection
22C5= 22!/(22-5)!5!
= 22!/17!5!
= 22*21*20*19*18*17!/17!*5!
22*21*20*19*18/5*4*3*2*1
=22*7*19*9
=26334
If there is exactly 5 young people in the population, the probability will be 5/22C5
=5/26334
=0.0001899.