Answer:
C
Step-by-step explanation:
The table shows a linear function.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table
m =
= 4, thus
y = 4x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 → C
Answer:
The required hypothesis to test is
and
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as
. Thus the null hypotheses is shown as:

The alternative hypotheses is represents as
. Thus the alternative hypotheses is shown as:

Hence, the required hypothesis to test is
and
.
Answer:
Step-by-step explanation:
If you plot J and K in a coordinate plane, you see that the line formed is a perfectly horizontal line through y = 2. In order for this triangle to be an isosceles, the third x-coordinate would have to be located midway through the x-coordinates of the base. The midpoint between the x-coordinates is found by adding the 2 x-coordinates and dividing the sum by 2. -6+\3 = -3 and -3/2 = -3/2. So the x-coordinate is -3.2 or -1.5