Answer: possible values of Range will be values that are >=91 or <=998
Step-by-step explanation:
Given that :
Set Q contains 20 positive integer values. The smallest value in Set Q is a single digit value and the largest value in Set Q is a three digit value.
Therefore,
given that the smallest value in set Q is a one digit number :
Then lower unit = 1, upper unit = 9( this represents the lowest and highest one digit number)
Also, the largest value in Set Q is a three digit value:
Then lower unit = 100, upper unit = 999 ( this represents the lowest and highest 3 digit numbers).
Therefore, the possible values of the range in SET Q:
The maximum possible range of the values in set Q = (Highest possible three digit value - lowest possible one digit) = (999 - 1) = 998
The least possible range of values in set Q = (lowest possible three digit value - highest possible one digit value) = (100 - 9) = 91
Answer:
More than 88.889% of the values will fall between 100 and 124 for the data set that has a mean of 112 and a standard deviation of 4.
Step-by-step explanation:
The Chebyshev's theorem states that the probability of any random variable ''X'' assuming a value between a range of ''k times'' the standard deviation is at least 
We can write mathematically this as :
P( μ - kσ < X < μ + kσ) 
(I)
Where μ is the mean and σ is the standard deviation.
In this exercise :
μ = 112
σ = 4
If we replace this values in the equation (I) :
The percent of the values falling between 100 and 124 can be written as :
(II)
This probability must be equal to 
(III)
Therefore if we work with (II) and (III) ⇒
(II) = (III) ⇒
⇒
⇒ In any of the equations we find that
Finally, we can write that
≅ 88.889%
According to Chebyshev's theorem, more than 88.889% of the values will fall between 100 and 124 for the data set.
Answer:
<h3>Graph{x<-4[10,10-5,5]}</h3>
<h3>The line will be a dashed line because the inequality operator does not contains an"<em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em>"</em>clouse</h3>
Answer:
Step-1 : Reflect the original figure around the x-axis.
Step-2 : Slide the new figure 7 units to the right.
