So, let's first find the slope of the second question:
Our second equation has a slope of one half, so we know that a line perpendicular to it will have the negative reciprocal slope of that, so -2. We have this now as our equation:
We are given the point (3,-6), so let's plug the x and y in and find our b:
Since our b is 0, our equation is simply:
All of the answers are correct except the last one
65 miles per hour meaning 65 miles in 60 minutes
65/60 = 1.083mile per minute
125/ 1.083 = 115.4 minutes to drive from san diego to malibu
check
115.4 x 1.083 = 124.97 (round up)
= 125
therefore it takes 115.4 minutes to drive from San Diego to Malibu
Well the answer I got was closest to 71.
3.14 x radius squared = area
If you divide 4040 by 3.14 you get radius squared which is 1286.6242
If you square root it you get the radius which is 35.869544
If you multiply the radius by 2 you get diameter which is about 71.739088
Answer:
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
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 = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0141
The margin of error is:
M = T*s = 2.0141*170.5 = 343.4
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month
The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87