percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
according to Chebyshev's theorem k=2.5
Chebyshev theorem:
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
This indicates that 1 - of the distribution will be close to the mean, or within k standard deviations.
Therefore, 1 -
⇒ 1-
⇒1-
⇒
⇒0.84
percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
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Answer:
see below
Step-by-step explanation:
y = |x -4| +2 is a graph of the absolute value function shifted right 4 units and up 2.
_____
When x has been replaced by x-h, the graph has been shifted right h units.
When y has been replaced by y+k, the graph has been shifted up k units.
When y = |x| has been replaced by y = |x -4| +2, the graph of |x| has been shifted right 4 units and up 2.
Answer:
120 degrees
Step-by-step explanation:
As we know, the exterior angle of a triangle is equal to the two opposite interior angles, in this case,
JKL = JHK + HJK
=> JKL = 24 + 96
=> JKL = 120 degrees
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15 is 60 percent of 25. 15x100/60 and it should be 25.
Answer: y=0.95x+8.35
Step-by-step explanation: Hi there.
We can use the equation y=mx+b, where
y=the result (in this case the cost of the pizza)
m=the slope (how much each topping costs)
x=input value (how many kinds of toppings the pizza has)
b=initial value (how much the plain pizza costs)
The toppings cost $0.95, and the value of the plain pizza is $8.35
So the equation is: y=0.95x+8.35.
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