The function that best defines this arithmetic sequence is:
<h3>What is an arithmetic sequence?</h3>
- In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.
The recursive function that defines the sequence is:
- In which
is the first term.
In this problem, the sequence is: {9, 5, 1, -3}
- Each term is the previous term subtracted by 4, hence
.
- The first term is 9, hence
.
Hence, the function is:
You can learn more about arithmetic sequences at brainly.com/question/6561461
For this case, the first thing you should know is that by definition, the vertical angles are congruent.
We have then:
∠1 and ∠2 are vertical angles.
Therefore, by definition:
∠1 = ∠2
On the other hand we have:
∠2 has a measure of 31 °.
Thus:
∠1 = ∠2 = 31 °
Answer:
the measure of ∠1 is:
∠1 = 31 °
The experimental probability is 9/20 or 45%. Hope this helps!
Answer:
-8.2,-2.5,.4,2.4
Step-by-step explanation:
start by negatives. negatives are lesser the higher they are. so -8.2 is less than -2.5. then positives are greater than negatives. .4 is less than 2.4. hope this helps
Answer:
0.00390625
Step-by-step explanation:
For coins :
Number of rolls, trials, n = 4
P(heads) = 0.5
Using binomial probability formula :
P(x =x) : nCr * p^x q ;
P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
P(even number from 4 coin tosses)
Even faces = (2,4,6)
Total faces = (1,2,3,4,5,6)
P(success) = 3/6 = 0.5
P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625
