Answer:
length TR = 6
Step-by-step explanation:
Length TL = 24
scale ratio = 3:4:5
T-------R--------V----------L
find: TR
24 / (3+4+5) = 2
length TR at 3 x 2 = 6
length RV at 4 x 2 = 8
length VL at 5 x 2 = 10
a total of 6 + 8 + 10 = 24
therefore,
length TR = 6
x/20 = 21/14 (similar proportions)
x/20 = 3/2 (simplify by canceling out a factor of 7)
x = 30
Answer:
a.)The total 4-letters passwords when repetition of letters is allowed are 456976
b.)The total 4-letters passwords when repetition of letters is not allowed are 358800
Step-by-step explanation:
Some situations of <em>probability</em> involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.
There are two ways to sort or combine results from dependent events. <em>Permutations</em> are groupings in which the order of objects matters. <em>Combinations</em> are groupings in which content matters but order does not.
How many 4-letter passwords can be made using the letters A throught Z if...
a)Repetition of letters is allowed?
There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are 
b) Repetition of letters is not allowed?
If repetition of letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation 
The total 4-letters passwords when repetition of letters is not allowed are 
.
Answer:
(0,-3)(1,-7)(-2,5)
Step-by-step explanation:
-4(0)-3 = -3 --> (0,-3)
-4(1)-3 = -7 --> (1,-7)
-4(-2)-3 = 5 --> (-2,5)