Answer:
Step-by-step explanation:
Notice when x increases 1, y is 4 times the previous one, so
the function is like
To determine the constant C, put any pair of (x, y)
Use x = 0, y = 0.2, so
0.2 = = C * 1 = C
then
Segment BDSegment BD is a perpendicular bisector of segment ACsegment AC . AD=5x+8AD=5x+8 and DC=43DC=43 . What is the value of
1 answer:
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<h3>Answer: A) Parallel </h3>
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Explanation:
I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.
Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-3-5)/(-1-(-3))
m = (-3-5)/(-1+3)
m = -8/2
m = -4
The slope of line AB, aka line m, is -4.
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Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-3-5)/(3-1)
m = -8/2
m = -4
The slope of line CD, aka line k, is -4
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Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.
Answer:
1) 68%
2) 68%
Step-by-step explanation:
<h2>1) The ages of trees</h2>We know the mean and the standard deviation.
The mean is:
The standard deviation is:
The Z-score formula is:
For x=20 the Z-score is:
For x=30 the Z-score is:
Then we look for the percentage of the data that is between deviations from the mean.
According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of the trees are between 20 and 30 years old
<h2>2) Pizza delivery </h2>First we calculate the Z-scores
We know the mean and the standard deviation.
The mean is:
The standard deviation is:
The z-score formula is:
For x=24 the Z-score is:
For x=30 the Z-score is:
Then we look for the percentage of the data that is between deviations from the mean.
According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of pizzas are delivered between 24 and 30 minutes