Answer:
16.9%
Step-by-step explanation:
Given data
Initial populatation= 4164
Final population= 3460
Percent decrease= initial-final/initial*100
Percent decrease= 4164-3460/4164*100
Percent decrease= 704/4164*100
Percent decrease= 0.1690*100
Percent decrease= 16.9%
Hence the decrease is 16.9%
Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
We know that
[volume of a sphere]=(4/3)*pi*r³
r=12 in
[volume of a sphere]=(4/3)*3.14*12³-----> 7234.56 in³------> 7235 in³
the answer is the option
<span>D) 7,235 in</span>³
Answer:
D 200 and 2
Step-by-step explanation:
standard error of the sampling distribution of sample mean is expressed using the formula;
Standard error of the mean = S/√n where;
S is the standard deviation
n is the sample size
Given
S = 18
n = 81
SEM = 18/√81
SEM = 18/9
SEM = 2
The mean of the distribution according to the question is 200.
Hence the mean and the standard error of the sampling distribution of sample mean are 200 and 2 respectively.
It will take Gayle 11 weeks