The slope is 1/2.
You can figure it out using the rise over run method
Let's take as example a linear function of the form:
y = kx.
Where,
k is the constant of proportionality.
Therefore, the proportionality constant is the point:
(x, kx)
Generically it is always the point:
(x, k * f (x))
Where, f (x) is a function proportional to x.
answer:
The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer:
2 , 3
Step-by-step explanation:
Answer:
31.5 days
Step-by-step explanation:
We.solve using z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
The 5th percentile z score = -1.645
Mean = 66
Standard deviation = 21
Hence:
-1.645 = x - 66/21
-1.645 × 21 = x - 66
-34.545 = x - 66
-34.545 + 66 = x
x = 31.455 days
Approximately to the nearest round integer
= 31.5 days
Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users
Answer:
216 US dollars
Step-by-step explanation:
Let the amount he earned for babysitting be x
He spent 1/4 of x on guitar=(1/4)×x=1/4x
He gave 1/4 of x to charity= (1/4)×x=1/4x
Equation 1
Total amount left=(Total amount earned -Total amount spent)
Total amount earned=x
Total amount spent=(Spent on Guitar+Spent on Charity)=(1/4x)+(1/4x)=1/2x=0.5x
Total amount left=108 US dollars
Substituting in equation 1
108=(x-0,5x)
Solving
0.5x/0.5=108/0.5
x=216 US dollars
He started with 216 US dollars