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6 days ago

The monthly issues of the Journal of Finance are available on the Internet. The table below shows the number of times an issue w

as downloaded over the last 33 months. Suppose you wish to summarize the number of downloads with a frequency distribution.
312 2,753 2,595 6,057 7,624 6,624 6,362 6,575 7,760 7,085 7,272
5,967 5,256 6,160 6,238 6,709 7,193 5,631 6,490 6,682 7,829 7,091
6,871 6,230 7,253 5,507 5,676 6,974 6,915 4,999 5,689 6,143 7,086
A. Find the mean, median, mode, minimum and maximum values as well as variance, standard deviation, range.
B. Use the data above to create a frequency distribution table with 11 classes and find the: mean and relative frequency.

Mathematics

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Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met

PIT_PIT [12445]

Answer:

The area of the new pumpkin patch can be represented as $Area_2$ = 15 x² + 380 x + 2400

Step-by-step explanation:

Given as:

The length of the original patch is L = 40 meters

The width of the original patch is W = 60 meters

Thus, the area of the rectangular patch is calculated as Length × Width

Or, $Area_1$ = L × W

So, $Area_1$ = 40 meters × 60 meters

Or, $Area_1$ = 2400 meters²

Moreover, the width of the new patch becomes (40 + 3 x) meters

And the length of the new patch becomes (60 + 5 x) meters

Or, $Area_2$ = L × W

Thus, $Area_2$ = (40 + 3 x) meters × (60 + 5 x) meters

Or, $Area_2$ = 2400 + 200 x + 180 x + 15 x²

Or, $Area_2$ = 15 x² + 380 x + 2400

Therefore, the area of the new pumpkin patch is given by $Area_2$ = 15 x² + 380 x + 2400 Answer

8 0

3 months ago

A sandbox is 2.5 m wide and 3.4 m long.

zzz [12365]

Answer:

2.55 cubic meters of sand

Step-by-step explanation:

The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!

5 0

4 months ago

The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14

AnnZ [12381]

The cabinet appointments can occur in 121,080,960 different configurations. This is a permutations problem since the order of selection matters; swapping candidates results in a new arrangement. This leads us to utilize the permutation formula. Given there are 14 viable candidates for 8 spots, we need to compute the permutations of 8 from a set of 14, concluding that the cabinet can indeed be arranged in 121,080,960 distinct ways.

3 0

3 months ago

.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s

Leona [12618]

Answer:

The variation constant is 1/9

The direct variation equation is expressed as y/x= 1/9

Step-by-step explanation:

In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Consequently, the constant of variation is 1/9

Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation

* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.

5 0

4 months ago