Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
Answer:
<em>P(B) = 0.46</em>
Step-by-step explanation:
<u>Probability</u>
The complementary event of a given event A is defined as "not A" or the event that A does not occur.
For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.
Event A and its complementary event (call it B) must satisfy:
P(A) + P(B) = 1
If we know P(A)=0.54, then
P(B) = 1 - P(A)
P(B) = 1 - 0.54
P(B) = 0.46
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solving by substitution</u>
- 2x + (x - 4) = 2
- 3x - 4 = 2
- 3x = 6
- x = 2
<u>Then finding y</u>
Intersection point is (2, -2)
Answer:
D. 16,384
Step-by-step explanation:
The given sequence (including "6") is neither arithmetic nor geometric. The 14th term cannot be predicted. (It can be anything you like.)
__
Based on the answer choices, we assume the intended sequence is the geometric sequence ...
2, 4, 8, 16, 32, ...
which has formula ...
an = 2^n
Then the 14th term is ...
a14 = 2^14 = 16,384
Since the expression is already really simple, y would be three, so I guess you could say 3=3
