Which is the graph of the linear inequality 1/2 x – 2y > –6? Image for option 1 Image for option 2 Image for option 3 Image f
or option 4
e.d.g.e.n.u.i.t.y
e.d.g.e.n.u.i.t.y
2 answers:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Isolate the variable y
Divide by -2 both sides
The solution of the inequality is the shaded area below the dashed line
To plot the inequality find the intercepts
The y-intercept is the point (0,3) (value of y when the value of x is equal to zero)
The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)
Plot the intercepts
Drawn the dashed line
shaded the region below the dashed line
The graph in the attached figure
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Answer:
a) 0.0082
b) 0.9987
c) 0.9192
d) 0.5000
e) 1
Step-by-step explanation:
The question is concerned with the mean of a sample.
From the central limit theorem we have the formula:
a)
The area to the left of z=2.40 is 0.9918
The area to the right of z=2.40 is 1-0.9918=0.0082
b)
The area to the left of z=3.00 is 0.9987
c) The z-value of 1200 is 0
The area to the left of 0 is 0.5
The area to the left of z=1.40 is 0.9192
The probability that the sample mean is between 1200 and 1214 is
d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000
e)
The area to the left of z=-112.65 is 0.
The area to the right of z=-112.65 is 1-0=1