Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X 
N (µ, σ²), then 
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:
Thus, the z-score for an income of $2,100 is 1.
Answer:
D.
Step-by-step explanation:
You want to find the points on each side. Because it is greater than or equal to -4, there will be a solid circle on the -4. Since D is the only answer with a solid circle on -4, that should be the answer.
Answer:
f (-2) = 21
Step-by-step explanation:
In f (-2), x is equal to -2 because f (x) ---> f (-3)
Plug (-2) into all x values to find f (-2)
4(-2)^2 - 2(-2) + 1
4(4) - (-4) + 1
16 + 4 + 1
20 +1
21
f (-2) = 21
Answer: 5 days
Step-by-step explanation:
Let the number of pallets that the tan gerbil eat be x.
Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:
(4 × x) - 10 = 30
4x - 10 = 30
4x = 30 + 10.
4x = 40
x = 40/4
x = 10
The tan gerbil eats 10 pallets per day.
Both gerbil eats (30 + 10) = 40 gerbils per day.
Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:
= 200 / 40
= 5 days
Answer: No
Step-by-step explanation: A function is a relation in which each x-term corresponds to exactly one y-term.
The easiest way to tell whether or not this relation is a function is to look at the x-coordinates of the given ordered pairs.
If any of the ordered pairs in this relation have the
same x-coordinate, then the relation is not a function.
Notice that two of the ordered pairs have the same x-coordinate.
They are (2,5) and (2,-5).
Since each x does not pair with exactly one y,
we know that this is not a function.
