Answer:
x-intercept=1/4 y-intercept= -1/8
Step-by-step explanation:
First, simplify the equation, y= 1/2x-1/8
Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.
To find the y-intercept, you simply have to keep in mind that y=mx+b
b=y-intercept
So our y-intercept is stated in the equation after we simplified it
Answer:
43
Step-by-step explanation:
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:

Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
Answer:
m = 8
Step-by-step explanation:
5(m+5)=7m+9 (distribute & evaluate parenthesis)
5(m)+5(5)=7m+9
5m + 25 = 7m + 9 (move all m-terms to one side and constants to the other)
5m - 7m = 9 - 25 (evaluate both sides)
-2m = -16 (divide both sides by -2)
m = (-16) / ( -2) = 8
Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.387
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.