Answer:
0
Step-by-step explanation:
Given :
Mean = 40 ; Standard deviation = 2
P(x < 28)
Obtain the Zscore :
Z = (x - mean) / standard deviation
P(Z < (28 - 40) / 2))
Z = (28 - 40) / 2
Z = - 12 / 2
Z = - 6
P(Z < - 6) = 0.000000
Answer:
8 3/25 because 8.12 is 8 12/100 and when you simplify 12/100 you get 3/25
Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
Find the equation of the line (direct variation)
we have
substitute
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
therefore
The system of inequalities is
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%
Answer:
square root of 49
Step-by-step explanation:
square root of 2 is 1.41421356237
square root of 14 is 3.74165738677
square root of 49 is 7
square foot of 49 is the correct one because 6.27316543222718… keeps going and does not stop the other 2 is irrational and square root of 49 is 7 basically meaning is rational
Hope this helped! :)
May i have brainliest!