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ELEN [110]
3 years ago
5

What is the value of the median of the data set represented by this box plot? 11,13,17,20,24 Select one of the options below as

your answer:
a. 11
b. 13
c. 17
d. 20
e. 24 is the answer 17 as the media
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
To find the median of a set of numbers:
Put them in numerical order. (least to greatest, or greatest to least, either works)
Then, the number in the middle is your median.
11, 13, 17, 20, 24
The median is c. 17.
<em>
</em><em>Extra:
</em><em>Suppose</em> you have an even number of data points in your set, like here:
1, 2, 3, 4, 5, 6
There's no number in the middle! So how do we get our median?
Well, if we had a middle, it would be between the 3 and 4, right?
So we meet halfway between 3 and 4 at 3½. (just an extra thing to note)

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Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width
mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

8 0
3 years ago
Two trains leave stations 256 miles apart at the same time and travel toward each other. one train travels at 70 miles per hour
Leya [2.2K]

Answer:

1.6 hours

Step-by-step explanation:

The 2 trains together are going 160 mph.

256 / 160 = 1.6 hours

7 0
2 years ago
How would you describe a carton back and hold 1000 unit cubes that measures 1" x 1" x 1" by using a unit can you
alexira [117]
Volume of the carton = 1000 cubic inches. Dimensions of a carton are 10"×10"×10"
4 0
4 years ago
Round 6.432 to the nearest tenth.
fenix001 [56]

Answer:

6.4

Step-by-step explanation:

a number rounded to the nearest tenth is

a.b

so our number is

6.432

we can forget about the 2

6.43

so we can round it

since 3 is less than 5 we don't change the 4 to 5

6.4

7 0
3 years ago
An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

Therefore, total cost in terms of the height, h, is given by

C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
4 years ago
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