Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12, 
σ = 5000
degrees of freedom = n-1 = 12-1 = 11
Formula to find the value of z is: 
Where 
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Answer:
Read this,it should help!
The standard form of a quadratic function is y = ax 2 + bx + c. where a, b and c are real numbers, and a ≠ 0. Using Vertex Form to Derive Standard Form. Write the vertex form of a quadratic function. y = a(x - h) 2 + k. Square the binomial. y = a(x 2 - 2xh + h 2) + k. y = ax 2 - 2ahx + ah 2 + k
Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)
Answer:
the sides of the triangle are 4 cm , 8 cm , 20 cm
Answer:
x = 28
Step-by-step explanation:
It gives you the value of the midsegment, which is 16. So you need to set up the equation as:
x + 4 = 2 × 16
You're multiplying 16 (the midsegment) by 2, because the it is <em>half</em> of x + 4, and you need to be able to set both parts of the equation equal to each other.
x + 4 = 32
Then, subtract 4 from both sides:
x + 4 = 32
-4 -4
_________
This gives you the answer of:
x = 28
