Answer:
4,374
Explanation:
Given the sequence: 2, 6, 18, ...
If we study the pattern we observe that:

This is a geometric sequence with:
• The first term, a=2
,
• Common Ratio, r=3
The nth term of a geometric sequence is obtained using the formula:

Therefore, the 8th term will be:

The 8th term of the sequence is 4,374.
Answer:
-(x - 7)(x + 6)
Step-by-step explanation:
Step 1: Factor GCF
-1(x² - x - 42)
Step 2: Factor quadratic
-1(x - 7)(x + 6)
Answer:
6 phones and 18 accessories
Step-by-step explanation:
12P + 3.50A = 135
A = 12 + P
12P + 3.50(12 + P) = 135,
12P + 42 +3.50P = 135
15.50P = 93
P = 6 phones
A = 12 + 6 = 18 accessories
Let

denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by

, each independently and identically distributed with distribution

.
You want to find

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

Recall that if

, then the sampling distribution

with

being the size of the sample.
Transforming to the standard normal distribution, you have

so that in this case,

and the probability is equivalent to
