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Diano4ka-milaya [45]
3 years ago
12

Alonzo describes a histogram as having a cluster from 20–50, a frequency of 0 from 10–20, and a peak at 40–50. Which histogram i

s he describing? A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 0 read 10 to 20, 8 read 20 to 30, 12 read 30 to 40, and 18 read 40 to 50. A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 8 read 10 to 20, 0 read 20 to 30, 12 read 30 to 40, and 18 read 40 to 50. A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 0 read 10 to 20, 8 read 20 to 30, 18 read 30 to 40, and 12 read 40 to 50.
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

A

Step-by-step explanation:

In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.

Darya [45]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b
mixer [17]

Answer:

  $4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

  (5/4x)(x²) = 640 ft³

  x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

  x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

  64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

  c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

  c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

__

Algebraically, you can set the derivative to zero to find the value of x.

  dc/dx = 0 = 50x -25600/x²

  512 = x³ . . . . multiply by x²/50 and add 512

  8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

8 0
3 years ago
Five people per 1000 square feet are allowed to enter a building Whose total dimensions is 180,000 square feet How many people c
Ludmilka [50]

Answer:

900

Step-by-step explanation:

5 people are said to occupy a 1000square feet space

That means we have to look out for how many 1000 square feets are in 180000

That would be 180000/1000 = 180

But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.

Hence 180 × 5= 900 is the number of persons that the hall can occupy.

6 0
3 years ago
A triangle has an area of 14 square units. Its height is 7 units. What is the length of its base?
navik [9.2K]
The base should be 4. 
Area=1/2* b *h
4*7=28/2=14. 
3 0
3 years ago
Can u help me with this as will pls <br><br><br> Stay safe everyone
bulgar [2K]
I think it’s C
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3 0
3 years ago
Read 2 more answers
What is the volume of a shipping cube with dimensions of 2 and 1/2 feet
Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

Where:

l: It's the side of the cube

According to the statement data:

l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}

Substituting in the formula we have:

V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625

Thus, the shipping cube volume is15.625 \ ft ^ 3

Answer:

15.625 \ ft ^ 3

6 0
3 years ago
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