Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
Answer:
We can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.
Step-by-step explanation:
Previous concepts
A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation
A parameter is "any numerical quantity that characterizes a given population or some aspect of it".
Solution to the problem
For this case the analyst knows that from previous records that the mean for all the customers (that represent the population of interest) is 
He have a random sample of n =500 customers from the previous month and he knows that 1732 represent the sample mean for the selected customers calculated from the following formula:

So on this case we can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.
y= x^2 - 6x-7
Vertex = -b /2a
b= -6
a= 1
-(-6)/2(1)= 3
x= 3
Use the substitution method to find y
y= (3)^2-6(3)-7
(3)(3)-18-7
9-25
y= -16
Vertex is (3, 16)
Find x- intercept (y= 0)
y= x^2 - 6x-7
(x-7)(x+1)
x-7= 0
Move -7 to the other side. Sign changes from -7 to 7
x-7+7= 0+7
x= 7
x+1= 0
Move +1 to the other side. Sign changes from +1 to -1
x+1-1= 0-1
x= -1
Answer :B. Vertex: (3, -16); Intercepts: x=-1,7
Answer:
The values of a and b are:
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
From the diagram of the line graph, we can fetch the two points
Determining the slope between (0, 2) and (-1, 0)




Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
Volume of the toy bouncy ball:
V = 4/3 r³ π
4.19 = 4/3 r³ · 3.14
r³ = ( 4.19 · 3 ) : ( 4 · 3.14 ) = 1
r = ∛1 = 1 in
Volume of the cube: V = a³
There are 64 toy balls. It means that there are 4 x 4 x 4 in the cube.
a = 4 · 2 r = 8 in
V = 8³ = 8 · 8 · 8 = 512 in³
Answer: B ) 512 in³