Answer:
(12, -3)
Step-by-step explanation:
You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.
Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Us
2 answers:
Picture relating to question is attached below
Answer:
t > - 5
Line is in the wrong side
Step-by-step explanation:
Given the inequality :
50 – 8t < 90
-8t < 90 - 50
-8t < 40
-8t / - 8 < (40/ - 8)
t > - 5 (sign changes)
During simplification, we should observe that the inequality sign changes due to negative sign. Hence, our final inequality equation read t > - 5 ; thus, arrow should point to the right
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Answer:
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that the line pressure will exceed 1000 kPa during any measurement
This is 1 subtracted by the pvalue of Z when X = 1000. So
has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the line pressure will exceed 1000 kPa during any measurement