Answer:
a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)
b)71,83 % will fall between 34 and 64 ounces
Step-by-step explanation:
Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:
In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean
Therefore in our case
μ + σ = 44 + 10 = 54
And
μ - σ = 44 - 10 = 34
a) Then 68,34 % of values will fall in this interval
We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %
b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64
64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %
Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14
71,83 % of all values will fall between 34 and 64
Answer:
the factor of 12 is 1 2 3 4 6 12 so that
-3(n+4)
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
Answer:
d
Step-by-step explanation:
i did this one
