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2 years ago

The heights of the bars of a histogram correspond to:

Mathematics

1 answer:

Verdich [7]2 years ago

6 0

Answer:

Frequency values

Step-by-step explanation:

The heights of the bars of a histogram correspond to the frequency values of the given data.

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Help please I will give brainliest

HACTEHA [7]

Answer:

x = 2

Step-by-step explanation:

½ = 50%

⅔ = 66.67%

80%

Hopefully, this helps! The numbers range from least (50%) to greatest (80%).

5 0

2 years ago

The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed material on the poste

Degger [83]

Answer:

The total height and width of the poster is approximately 28.93 and 38.57.

Step-by-step explanation:

Consider the provided information.

Let us consider the width and length of the printed part of the poster is x and y respectively.

For better understanding refer the figure 1:

The area of the printed part is 382 cm²

Area = xy = 382

y = 382/x

Now the total height of the poster is y + 6 + 6 = y + 12

Total width of the poster is x + 8 + 8 = x + 16

Thus the total area of the poster is:

A = (x + 16)(y + 12)

Now substitute the value of y in above equation.

$A = (x+16)(\frac{382}{x}+12)$

$A = 382+12x+\frac{6112}{x}+192$

$A = 12x+\frac{6112}{x}+574$

Now differentiate the above equation with respect to x.

$A' = 12-\frac{6112}{x^2}$

Now, substitute A'= 0 and solve for x.

$0 = 12-\frac{6112}{x^2}$

$12=\frac{6112}{x^2}$

$x^2=\frac{6112}{12}$

$x=22.57$ Ignore the negative value of x as width can't be a negative number.

Now find A''

$A'' = \frac{2(6112)}{x^3}$

Here A" is positive for x>0 and x = 22.57 is minimum.

Use the value of x to find all the respective dimensions of the poster.

Substitute the value of x in y = 382/x

y = 382/22.57 = 16.93

The total height of the poster is y + 6 + 6 = y + 12 = 16.93 + 12 = 28.93

Total width of the poster is x + 8 + 8 = x + 16 = 22.57 + 16 = 38.57

Hence, the total height and width of the poster is approximately 28.93 and 38.57.

6 0

2 years ago

Read 2 more answers

What is the reciprocal of each number?

Sliva [168]

1 is D
2 is B
3 is C
4 is A

7 0

2 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

2 years ago

What is the constant term in the polynomial 2x3 - 8x2 + 5x -28

cricket20 [7]

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

Example: –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

6 0

2 years ago