Answer:
19,656
Step-by-step explanation:
Numbers used in locker = 3
Total numbers available = 28
Repetition is not allowed, so one number can be used only once. The order of number matters in the locker e.g. 123 password is not the same as 231. Since, the order of numbers matter, this is a problem of permutations. We need to find the number of different sequences formed with 28 numbers taken 3 at a time. This can be represented as 28P3
The formula for permutations is:
For the given case, we will have:
This means, 19,656 different 3 numbered sequences are possible for the locker.
Answer: 150 pounds
Step-by-step explanation:
Let her initial weight be represented by x.
Since Shep had lost 16% of his weight, which was 24 pounds. Shep weight before he was put on a diet would be:
16% × x = 24
0.16 × x = 24
0.16x = 24
x = 24/0.16
x = 150 pounds
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
You need three non-collinear points to name a plane.
Non-collinear means "not on the same straight line". So these three points can't all lie on the same straight line. If three points do lie on the same straight line, then it is impossible to generate a single unique plane.
Answer:
The number of each kind of apartment in the building is 130 .
Step-by-step explanation:
Given as :
The total number of floor in a building = 15
The number of apartment on each floor = 26
So, The total number of apartment = 26 × 15 = 390
The number of kinds of apartment in the building is 3 , i.e 1-bedroom , 2-bedroom , 3-bedroom
Let The number of each kind of apartment in building = x
So, According to question
The number of each kind of building = 
or, x = 
∴ x = 130
Hence The number of each kind of apartment in the building is 130 . Answer
