1 times 0.5
Is this what you mean?
Hopefully it is
Answer:
14.5, 13, 11.5
Step-by-step explanation:
The general term (an) of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 + d(n-1)
Then the 8th term is ...
a8 = a1 + d(8-1)
and the 12th term is ...
a12 = a1 + d(12-1)
So, the difference between these terms is ...
a12 -a8 = (a1 +11d) -(a1 +7d) = 4d
= (-2-4) = -6 . . . . . substituting values for a12 and a8
Then the common difference is
... d = -6/4 = -3/2
Using this, we can find a1 from a8.
4 = a1 +7·(-3/2) = a1 - 10.5
14.5 = a1 . . . . . . . add 10.5 to both sides of the equation
This is the first term. The second is this value with the common difference added:
14.5 + (-1.5) = 13
The third term is this with the common difference added:
13 + (-1.5) = 11.5
In summary, the first three terms are ...
14.5, 13, 11.5
Answer:
Rate of Change = -77.9 feet/year
My interpretation: "Is Bad."
Step-by-step explanation:
The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place. We want a value with a unit of feet/year.
<u>Year</u> <u>Feet</u>
1999 3893
2005 3425.6
<u>Change</u>
Year = (2005 - 1999) or 6 years
Feet = (3425.6 - 3893) or -467.4 feet
Rate of Change = (-467.4 feet)/(6 years)
Rate of Change = -77.9 feet/year
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FYI: Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.
Answer:
A. 0.9510
B. 0.0480
C. 0.0490
D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.
The answer to your question is 5.4