Answer:
y = 2/3x - 2
Step-by-step explanation:
Given :
Slope, b = 2/3
y - intercept, c = - 2
The equation of a line can be expressed in slope intercept form as :
y = bx + c
b = slope ; c = y - intercept
Hence, line equation becomes ;
y = 2/3x - 2
Answer:
$36
Step-by-step explanation:
we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)
we know that there are 12 items, so in this function, x=12
substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output
C(12)=2(12)+12
multiply
C(12)=24+12
add
C(12)=36
that means, for 12 items, the cost will be $36
We can get rid of the parentheses so it looks like this:
3x + 24x + 8.
Simplify:
27x + 8
Answer:
34.134%
68.268%
Step-by-step explanation:
Given that:
Mean (m) = 500
Standard deviation (s) = 100
Percentage between 500 and 600
P(500 < x < 600)
P(x < 600) - P(x < 500)
Z = (x - m) / s
P(x < 600)
Z = (600 - 500) /100 = 1
P(x < 500)
Z = (500 - 500) / 500 = 0
P(Z< 1) - P(Z < 0)
0.84134 - 0.5
= 0.34134
= 0.34134 * 100%
= 34.134%
B.) Between 400 and 600
P(x < 400)
Z = (400 - 500) /100 = - 1
P(x < 600)
Z = (600 - 500) / 500 = 1
P(Z< 1 ) - P(Z < - 1)
0.84134 - 0.15866
= 0.68268
= 0.68268 * 100%
= 68.268%
Answer:
Step-by-step explanation:
