Answer:
Mean=50.
standard deviation=50.
Step-by-step explanation:
Let the perfect score be 100.
The mean(average) of a data is given by: 
Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.
so, sum of data points=50×100+50×0=5000.

Mean=50.
"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".
Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.
next on squaring we will have all the 100 entries as '2500'.
now the mean of these entries is: 
=2500
taking it's squareroot we have 
Hence, standard deviation=50.
Answer:

Step-by-step explanation:
Applying the chain rule

Then it becomes

In x=0
f}{dx} =-\frac{df}{dx}[/tex]
Then

Answer:
If Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
Step-by-step explanation:
First, you have to calculate the 4% of the bill and add that amount to the total of the bill to determine the total amount including the tax:
193.75¨*4%=7.75
193.75+7.75=201.5
Now, you have to calculate 16% of the amount including the tax:
201.5*16%=32.24
According to this, the answer is that if Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
Answer:
A = $1311 and 96cents
Step-by-step explanation:

P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5

Answer:
eccentricity; e = 1/7
k = 12
Conic section; Ellipse
Step-by-step explanation:
The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/7;

The polar equation of the conic section is now in standard form;
The eccentricity is given by the coefficient of cos theta in which case this would be the value 1/7. Therefore, the eccentricity of this conic section is 1/7.
The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.
The value in the numerator gives the value of k; k = 12