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denpristay [2]
3 years ago
9

The number of stories in each of a sample of the world’s 28 tallest buildings follows. Construct a grouped frequency distributio

n and a cumulative frequency distribution with 5 classes.
54 79 100 70 75 56 88
55 78 75 55 72 60 80
55 88 80 85 69 71 60
90 64 77 88 65 102 70

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

55 78 75 55 72 60 80

55 88 80 85 69 71 60

90 64 77 88 65 102 70

Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

74 - 83_____7_____________21

84 - 93_____5_____________26

94 - 103____2_____________28

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Drupady [299]
1,800 is your answer because 1,200/72=16.6666667 and 1,800/108=16.6666667.


Hoped I helped!
7 0
3 years ago
Muriel and Ramon bought school
Dafna11 [192]

Answer:

the box of pencils are $2.50

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Step-by-step explanation:

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7 0
3 years ago
Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
3 years ago
If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
nordsb [41]

Answer:

They both have H hoel

Step-by-step explanation:

\

4 0
2 years ago
Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th
Cerrena [4.2K]

Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:    

V = \frac{4}{3}\pi r^{3}

Where:

r: is the radius = 0.4 meters

V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon              

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.      

 

I hope it helps you!

6 0
3 years ago
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