If you deposit $5,000 into an account that pays 4.75% annual interest how much money will be in the account after 7 years if the
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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
The line segment AB is divided at point P, which has coordinates P(0,-7.5)
A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.
Given are,
A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively
Two minor line segments, AP and PB, are created from the line segment AB by the provided point P
We must determine the dividing point's coordinates, or P.
We'll apply the formula provided,
The coordinates of the point P are given by = (,
)
Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0
Putting values in the formula, we get
(,
)
(0,-7.5)
Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)
To learn more about Line Segment, here
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