Answer:
Slope (m) = 3, y-intercept (b) = -1
Step-by-step explanation:
First, we need to write the equation in y = mx + b.
To do this, add 3x to both sides.
y = 3x - 1 is your result.
Now, we have everything we need to do determine our slope and y-intercept in just this equation alone.
Remember, m = slope and b = y-intercept.
In this equation:
m = 3
b = -1
So your slope is 3, and your y-intercept is -1
Answer:
37
Step-by-step explanation:
The first thing is to calculate critical z factor
the alpha and the critical z score for a confidence level of 90% is calculated as follows:
two sided alpha = (100% - 90%) / 200 = 0.05
critical z factor for two sided alpha of .05 is calculated as follows:
critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:
critical z factor = 2.58
Now we have the following formula:
ME = z * (sd / sqrt (N) ^ (1/2))
where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58
N the sample size and we want to know it, replacing:
6 = 2.58 * (14 / (N) ^ (1/2))
solving for N we have:
N = (2.58 * 14/6) ^ 2
N = 36.24
Which means that the sample size was 37.
Answer:
Step-by-step explanation:
Midpoint of line segment is calculated as
-----------(1)
Here
Substituting values in equation (1)
Answer:
The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Step-by-step explanation:
We are given the following in the question:
Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.
The woman invested has three times as much invested at 7% as she does at 6%.
Thus, we can write the equation:
The total interest is $1,350.
Thus, we can write the equation:
Solving the two equations by substitution method:
Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Answer:
7x+80
Step-by-step explanation:
7 times everything in the () and get
56+7x+24
combine like terms
7x+80
