Which graph best represents the feasibility region for the system shown below?
2 answers:
<h3>Answer: Correct option is 3rd option. </h3>
Step-by-step explanation: Given inequalities
x≥ 0
y≤ 8
y ≥ x and
y ≥ .
Let us graph the lines on the calculators first.
x≥ 0 : First inequality line would be a solid line and we would shade right side of y-axis because we have greater than or equal to symbol.
y≤ 8 : Second inequality line would be a solid line and we would shade down the line because we have less than or equal to symbol.
y ≥ x : Third inequality line would be a solid line and we would shade up of the line because we have greater than or equal to symbol.
y ≥ : Fourth inequality line would be a solid line and we would shade up of the line because we have greater than or equal to symbol.
From the graph we can see that middle portion is the common feasible region.
<h3>Therefore, correct option is 3rd option. </h3>You might be interested in
Answer:
Option(A) is correct
Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
Step-by-step explanation:
The given data set in the question are ;33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58
the range can be determined by finding the highest value and subtract it to the lowest value. In this case the values are:
Highest = 97
Lowest = 71
Range = highest value - Minimum value
Range = 97 - 26 = 71
mean of the data is the summation of all the numbers in the data set divided by the number of given samples.
Mean = (33 + 29 + 97 + 56+ 26 + 78 + 83 74+ 65 + 47 + 58)/11
= 647/11
Now to find the variance of the data set by using below formular
σ²=[ (xᵢ -mean)²]/n-1
[(33-58.7)² +(29-58.7)²+( 97-58.7)²+( 56-58.7)²+( 26 -58.7)²+(78-58.7)²+( 83 -58.7)²+(74-58.7)²+( 65-58.7)²+( 47 -58.7)²+(58 -58.7)²]/10
Now, we will calculate standard deviation by taking square root over variance
σ =√(variance)
σ =√(546)
Hence, the range is 71 ,variance is 546 and standard deviation is 23.4 therefore,
Option A is the answer that is Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
Answer:
Step-by-step explanation:
The confidence interval estimate for the population mean is given by :-
, where
is the sample mean and ME is the margin of error.
Given : Sample mean:
The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution :
Now, the confidence interval estimate for the population mean will be :-
Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =