Graph the solution of the system of linear inequalities. y≤−4x−4 y≥x+2
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The y-intercept of the solid line is -4
The x-intercept of the solid line is -1
The slope of the solid line is negative
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The y-intercept of the solid line is 2
The x-intercept of the solid line is -2
The slope of the solid line is positive
The solution of the system of inequalities is the shaded area between the two solids line
see the attached figure
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Answer:
0.2857
Step-by-step explanation:
The probability of interest is the area under the probability density curve between the z-values associated with the temperature limits of interest.
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The first attachment shows a "sketch" of the distribution and the area of the portion of interest. (It also shows the probability as 0.2858.)
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The second attachment shows the table values of interest for this problem. The z-values that we want to look for in the table are ...
z1 = (0.50° -0°)/1.00° = 0.50
and
z2 = (2.00° -0°)/1.00° = 2.00
The area of the probability density function to the left of each of these z-values is given in the table, so the area between them is the difference of table values:
0.9772 -0.6915 = 0.2857
The probability of a reading between 0.50 and 2.00 is about 0.2857.
