The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
<h3>What is permutation and combination?</h3>
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have:
Total number of outcomes for pyramid = 4
Total number of outcomes for spinner = 5
Total outcomes = 4×5 (multiplication rule of counting)
= 20
Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
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Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
Answer:
<h2>Multiplication.</h2>
Step-by-step explanation:
The given expression is
For 
, we have
Notice that the first operation we need to do is multiplication, because that's the right order of operations when we solve these kind of expressions.
Then, we subtract
Now, we divide
Finally, we sum
Therefore, the right answer is multiplication.
No ffffffffffffffffffffffffffffffff
Answer:
wy=root 5
maybe 30 and 60 degree
Step-by-step explanation:
