Which equation can you use to solve for the volume of the cake?
1 answer:
Answer:
C. (40 × 60 × 10) + (30 × 60 × 10) = V
Step-by-step explanation:
Picture of the cake can be found in the attachment below :
To solve, we resolve the cake into two distinct boxes :
The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)
And the other which sits vertically ;
Volume = (length * width * height) = (10 * 60 * 40)
Then, we add;
Overall volume:
(60 * 30 * 10) + (10 * 60 * 40)
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Given Information:
Population mean = p = 60% = 0.60
Population size = N = 7400
Sample size = n = 50
Required Information:
Sample mean = μ = ?
standard deviation = σ = ?
Answer:
Sample mean = μ = 0.60
standard deviation = σ = 0.069
Step-by-step explanation:
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
50*0.60 ≥ 10
30 ≥ 10 (satisfied)
n(1 - p) ≥ 10
50(1 - 0.60) ≥ 10
50(0.40) ≥ 10
20 ≥ 10 (satisfied)
The mean of the sampling distribution will be same as population mean that is
Sample mean = p = μ = 0.60
The standard deviation for this sampling distribution is given by
Where p is the population mean that is proportion of female students and n is the sample size.
Therefore, the standard deviation of the sampling distribution is 0.069.