Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
Y=2x+4
the y intercept is 4 and the slope is 2/1
Answer:
36 roses
Step-by-step explanation:
Answer:
The answer is 3 1/2.
Step-by-step explanation:
-There are 2 simple ways to do this.
-The first is just subtracting 3/4 and 1/4 which equals 2/4 or 1/2.
-The second way is to turn it into an improper fraction.
-(5*4)+3=23 and (2*4)+1=9.
-23/4-9/4=14/4
-14/4=3 1/2
Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
Regroup:
100n^2-1
=10^2n^2-1
=(10n)^2-1^2
So the correct answer is :
(10n)^2-1^2
To attempt to factor a polynomial of four or more terms with no common factor, first rewrite it in groups. Each group may possibly be separately factored, and the resulting expression may possibly lend itself to further factorization if a greatest common factor<span> or special form is created.</span>
