Answer:
The rug is two feet too wide
Step-by-step explanation:
Well first, let's figure out the diameter of the rug to see if it will fit in the room. We know that the circumference of the circle is πd. So we can solve for d from there (d is the diameter).
c = πd
50.24 = πd
50.24/π = d
d = about 16 ft
Knowing this, we know that the rug would not fit in the room and if it was centered, it would have a foot of rug sticking out from each wall. Therefore, the rug is two feet too wide.
Answer:
Options B,C and E are correct choices.
Step-by-step explanation:
We are asked to find correct answers for the given box and whisker plots.
Let us our options one by one.
A. This option is false as lowest value for children's cereals is 30 and highest value for adults is 35.
B. This option is correct. We can see our upper value for combined range will be 60 and lower value will be 5 and range is upper value- lower value.

C. Since we know that we can find spread of data by its range.


So option C is correct indeed.
D. This options is false because for adults mean and median are different while for children mean and median are same.
E. We can see that median for children's cereals is 45 and it is about 12 for adults.
We can see that
. So median amount of sugar in children's cereals is 3 times as much as the median amount of sugar in adult's cereals.
Therefore, options B,C and E are correct choices.
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Answer:
D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.
Step-by-step explanation:
(a) Range is the difference between the smallest and largest observation.
Here Smallest observation = 0.63
and Largest observation = 1.48
⇒ Range = 0.85
(b) Standard Deviation is calculate by,

where,
is mean of the observation.
Here, Mean = 0.988
⇒ Standard Deviation = 0.313
(c) Variance is the square of Standard deviation.
Thus, Variance = (Standard Deviation)² = 0.098
(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.