5 3/8 - 1 1/4 + 2 1/2 - 7/16=
1 answer:
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<span>The <u>correct answer</u> is:
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
<span><span>
To solve, multiply both sides by 5:
</span></span>
<span><span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
To solve, multiply both sides by 5:
</span></span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
Answer:
The given series converges and
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be:
Hence,