Answer:
The correct options are 1 and 3.
Step-by-step explanation:
From the given box plot it is clear that
Q₁ is 25% of a data.
Median is 50% of a data.
Q₃ is 75% of a data.
34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.
42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.
The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.
Hence option 3 is correct.
The interquartile range of the data is
The interquartile range is 28. Therefore option 4 is incorrect.
Range of the data is
The range is 42. Therefore option 5 is incorrect.
Answer:
157079.6
Step-by-step explanation the formula to find volume of a cylinder is pi radius squared(half of diameter) times height.
I'm sorry I do not know how to set up the equation but I do know it's 17 hours because 7(30)= 210 and 10(20)= 200 and 200+210=410
We have been given a system of inequalities and an objective function.
The inequalities are given as:
And the objective function is given as:
In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.
Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
.04b is 2% of 2b because .04 multiplied by 100 is 4 then you divide by 2 which gets you 2.
.04/2=x/100
cross multiply and divide
it is 98% smaller than 2b.
.2b is 10% of 2b because .2 multiplied by 100 is 20 then you divide by 2 and get 10.
.2/2=x/100
it is 90% smaller than 2b.
.56b is 28% of 2b because .56 multiplied by 100 is 56 then divide by 2 and you get 28.
.56/2=x/100
it is 72% smaller than 2b.
1.8b is 90% of 2b because 1.8 multiplied by 100 is 180 then divide it by 2. you get 90.
1.8/2=x/100
it is 10% smaller than 2b.
2.5b is 125% of 2b because 2.5 multiplied by 100 Is 250 and 250 divided by 2 is 125.
2.5/2=x/100
it is 25% larger than 2b
3b is 150% of 2b because 3 multiplied by 100 is 300 and 300 divided by 2 is 150.
3/2=x/100
it is 50% larger than 2b
