1 answer:
Answer:
The solution set is (5,6).
Step-by-step explanation:
Given equations are:
-6x + 6y= 6 Eqn 1
-6x + 3y=-12 Eqn 2
Subtracting Eqn 2 from Eqn 1
(-6x+6y)-(-6x+3y)= 6-(-12)
-6x+6y+6x-3y=6+12
3y = 18
Dividing both sides by 3
Putting y=6 in Eqn 1
-6x+6(6)=6
-6x+36=6
-6x=6-36
-6x=-30
Hence,
The solution set is (5,6).
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Answer:
82%
Step-by-step explanation:
We let the random variable X denote the number of defective units in the production run. Therefore, X is normally distributed with a mean of 21 defective units and a standard deviation of 3 defective units.
We are required to find the probability, P(17 < X < 25), that the number of defective units in the production run is between 17 and 25.
This can be carried out easily in stat-crunch;
In stat crunch, click Stat then Calculators and select Normal
In the pop-up window that appears click Between
Input the value of the mean as 21 and that of the standard deviation as 3
Then input the values 17 and 25
click compute
Stat-Crunch returns a probability of approximately 82%
Find the attachment below.
Answer:
The warranty period should be of 35 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months
This means that
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
Rounding to the nearest integer, 35.
The warranty period should be of 35 months.