Answer: 75% of the rate lies in 47 per month and 55 per month.
Step-by-step explanation:
The mean rate for a satellite television from a sample of households was $51.00 per month, with a standard deviation of $2.00 per month.
According to the Chebychev's Theorem, atleast % of the data lies within k standard deviation from the mean.
For k=2
Alteast 75% of data lies within 2 standard deviation from mean.
i.e. 51-2(2) per month and 51+2(2) per month
i.e. 47 per month and 55 per month
Hence, 75% of the rate lies in 47 per month and 55 per month.
Answer:
The volume is 120.11ft^3
Step-by-step explanation:
Given
Required
Determine the volume
This is calculated as:
h, in this case represents the length;
So, we have:
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
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There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27
the answer would be C, 35
Answer:
-4
Step-by-step explanation:
When we talk of the horizontal translation, we are dealing with a change in the x value
Initially we had x alone while we had x-4 in the second
What this mean is that there is a change of -4