Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The number of independent variables is 
The number of observation is 
Since n is are independent variables then their degree of freedom is 3
The denominator(i.e z) degrees of freedom is evaluated as



So for the numerator (n) the degree of freedom is Df(n) = 3
So for the denominator(i.e z) the degree of freedom is Df(z) = 43
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
Answer: 
Step-by-step explanation:
We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".
Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.
Here y is dependent on x, so we replace y by f(x), then we get
which is the required answer.
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
![\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%202x%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B35%7D%20%20%5C%5C%20%7B%28%7Bx%7D%5E%7B2%7D%20%2B%202x%29%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%2835%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%20%7B2x%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%3D%20%20%7B35%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%3D%2035%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%20-%20%2035%20%3D%200%20%5C%5C%20%28x%20-%205%29%28x%20%2B%207%29%20%3D%200%20%5C%5C%20x%20%3D%205%20%20%5C%3A%20or%20%5C%3A%20%20-%207)
Therefore, the answer is A. as the solution is x = 5 or -7
For the new quarter: 3 quizzes
all past quarters and current quarter in total: 26 quizzes