Answer:
X equals 45
Step-by-step explanation:
The angle all together is 180 degrees so if you do 180 minus 45 you get 135. Now since x is being multiplied by 3 you divide 135 by 3. This is 45. So x is equal to 35. hopefully that made sense. :)
The period of y = 4 cos(8πx) is 2π/(8π) = 1/4, since
cos(x - 2π) = cos(x)
and if we replace x with 8πx, we get
cos(8πx - 2π) = cos(8πx)
and
8πx - 2π = 8π (x - 1/4)
Let's set up two equations:
x+y=20 We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
x+y= 20
-y -y
------------
x= 20 -y
substitute into the other equation:
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5
So she brought 5 big cases. Then substitute the value of y into one of the equations.
5+ x = 20
x= 15
So we bought 15 small cases and 5 big cases.
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Answer:
30
Step-by-step explanation:
3x5=15
15x2=30
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.
