Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²
Answer:
25
Step-by-step explanation:
1125-900=225
225/900×100=25
Answer:
Step-by-step explanation:
In statistics, whenever full population cannot be surveyed, a random sample can be taken and from the observations population behaviour can be estimated.
Here given that there are 200 members. Instead of collecting data from all 200, 20 members are randomly taken.
The sample mean x bar can be estimated to give an idea the population mean also.
ACcording to central value theorem, means of different samples will follow a distribution with mean = population mean and std deviation = std dev of sample/square root of n
Hence we fix confidence interval as Mean + or - Z critical * std error
This gives us an idea about within which means will lie for different samples and hence give an idea about population mean also.
9514 1404 393
Answer:
B) -3
Step-by-step explanation:
There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more <em>ad hoc</em> approach. It appears that the value of b can be found by combining the last two equations.
(1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)
5b = 10
b = 2
Now, we can substitute this value into the first two equations. This gives ...
5a +c = -8
a - c = 2
Subtracting 5 times the second from the first gives ...
(5a +c) -5(a -c) = (-8) -5(2)
6c = -18 . . . . simplify
c = -3 . . . . . . divide by 6
The value of c is -3.
11.00*9.5=104.5
104.5*0.07=7.315
7.315+104.5=111.815