Answer:
The standard deviation of the sample is 0.0064.
Step-by-step explanation:
The standard deviation of a sample of length n of a population with standard deviation
is given by the following formula:

In this problem, we have that:
61 randomly selected gas stations. This means that 
The standard error of the mean is $0.05. This means that
.
What is the standard deviation of the sample?

The standard deviation of the sample is 0.0064.
Answer:
Step-by-step explanation:
(-x + 3) - (4x - 10)
= - x + 3 - 4x + 10 (because when you see the minus sign you have to change all the sign inside the bracket)
= -5x + 13 (this step is just subtract -x and -4x and 10 + 3)
Answer:
Step-by-step explanation:
We can write the given expression as :

As given, f = ∇f.
∇f =
+
+
We can write the partial derivative with respect to x, y and z.
___(Equation 1)
______(Equation 2)
______(Equation 3)
Take equation 2 and integrate with respect to y,

----------Equation 4
Derivate both sides w.r.t x , we get :

or

integrate
a(x,z)=b(z)
put in equation 4 ,
we get :

take derivative wrt z

we can take here:

integrate:

b(z) = C
The function can be written as :
from equation 4 :
Where C is a constant.
Answer:

Step-by-step explanation:
3/5 students have a mobile phone, so 2/5 don't have it
Answer:
Answer: A, (3x+5)(x+7)
Step-by-step explanation:
3x*x = 3x^2
3x*7=21x
5*x= 5x
5*7=35
Then, Combine like terms.
21x+5x= 26x
3x^2+26x+35
And that's it, pretty simple.