Here, we are required to determine the equation of the line u which is perpendicular to the line t and passes through the point (8,8).
The equation of the line u is;. y = (-x/4) + 10.
First, the product of the slope of 2 perpendicular lines is negative 1 i.e -1.
M1 × M2 = -1
From observation, the slope of line t given by y = 4x - 8 is equal to 4.
- Therefore, since M1 = 4,
- Then, M2 = -1/4
To get the equation of a line,
Slope, M2 = (y - y1)/(x - x1)
where M2 = -1/4 , y1 = 8 and x1 = 8.
Therefore, -1/4 = (y - 8)/(x - 8).
Therefore, -x + 8 = 4y -32
Therefore, 4y = -x + 40.
Ultimately, the equation of the line u is ;
y = (-x/4) + 10.
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Answer:
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Step-by-step explanation:
We have the population's standard deviation, so we can find the normal confidence interval.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons
The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Eight thirds (also known as 8/3) is equivalent to two and two thirds (numerically written: 2 2/3). Explanation: to solve this, find out god many times 3 can fit into eight. Three can fit into eight 2 times (since 3*2 is 6), which leaves you with 2 left. Since this remainder of 2 can not be divided by 3, it is put into a fraction of 2/3. Therefore, the answer is 2 2/3.
Answer:
55°
Step-by-step explanation:
Vertical angles are similar
Answered by GAUTHMATH
The answer is 4 units. The distance between the two points of B and C is equals 6-4=2, because the y is the same. According to the question, the BC is equals 0.5*B'C'. So the length of B'C' is 2/0.5=4 units.
