Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
To model the scenario, the following will be the numerical coefficients for the variables: 0.05 for nickels (5 cents), 0.10 for dime (10 cents) and 0.25 for quaters (25 cents). Thus the model/equation is, $1.87 = 0.25q + 0.10d + 0.05n + 60.
Answer:
62 is the minimum sample size needed
Step-by-step explanation:
We know that the population is approximately normally distributed so we will use a z-score for 95% confidence, which is 1.96. We are given the population standard deviation of σ = 20, and are given that the error should be 5 or less hours. The fact that it gives us sample data is irrelevant since we are told the population is approximately normally distributed and are given the population standard deviation.
See the attached photo for the calculation of the minimum sample size
Answer y-2x+5 or it will be y=-2x+11
Step-by-step explanation:
Answer:
a³ - a² - 3a+ 6
Step-by-step explanation:
we are asked by how much does (a³-2a) exceed (a²+a-6)
in other words, we are being asked to find the difference between the 2 terms above.
Mathematically we are asked to find:
(a³-2a) - (a²+a-6) (expand parentheses by distribution property)
=(a³-2a - a²- a + 6)
= a³ - a² - 3a+ 6 (answer)
