A feasible region is bounded by the constraints: 20 20 4 5 0.25 y x y x y x The objective function is P
1 answer:
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9514 1404 393
Answer:
∠KXN and ∠QXT
Step-by-step explanation:
The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.
Here, we'll refer to angle aXb as "ab".
NP = 95 -35 = 60
PQ = 35 -20 = 15 . . . not complementary to NP
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KN = 165 -95 = 70
QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer
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JK = 180 -165 = 15
PQ = 35 -20 = 15 . . . not complementary to JK
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JK = 15
NK = KN = 70 . . . not complementary to JK
Answer:
A) Between 388 and 450
B) Between 357 and 481
C) Between 326 and 512
D) 99.995%
E) 72.907%
Step-by-step explanation:
We are given;
Mean; x¯ = 419 minutes
Standard deviation; σ = 31 minutes
A) From the empirical rule, 68% falls within 1 standard deviation.
Thus, it will be between;
419 - 1(31) and 419 + 1(31)
Thus gives;
Between 388 and 450
B) From the empirical rule, 95% falls within 2 standard deviation.
Thus, it will be between;
419 - 2(31) and 419 + 2(31)
Thus gives;
Between 357 and 481
C) From the empirical rule, 99.7% falls within 2 standard deviations.
Thus, it will be between;
419 - 3(31) and 419 + 3(31)
Thus;
Between 326 and 512
D)between 359 and 479 minutes, we will use z-s roe formula;
z = (479 - 359)/31
z = 3.871
From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%
E) worker spent 400 minutes on the job.
Thus;
z = (419 - 400)/31
z = 0.613
From z-tables, p = 0.72907
In percentage, we have; 72.907%
