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Aleksandr [31]
3 years ago
13

Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th

e nearest tenth of a percent. Some of the answers will be used more than once and some may not be used.
10 30 40 50 60 70
10 30 40 60 60 80
20 30 50 60 70 90
20 30 50 60 70 90
Number Frequency Relative Frequency
10 %
20 %
30 %
40 %
50 %
60 %
70 %
80 %
90 %
Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
Number......frequency.....relative frequency
10                  2                    2/24 = 8.3%
20                  2                    2/24 = 8.3%
30                  4                    4/24 = 16.7%
40                  2                    2/24 = 8.3%
50                  3                    3/24 = 12.5%
60                  5                    5/24 = 20.8%
70                  3                    3/24 = 12.5%
80                  1                    1/24 = 4.2%
90                  2                    2/24 = 8.3%
total :           24
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f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

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<h3>What is a mathematical function?</h3>

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During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

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hammer [34]

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

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3 years ago
What is the answer of this problem -7/3(3x-2)=-21 ?
weeeeeb [17]

Answer:

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Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

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-----------------------

3

2. DISTRIBUTE

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3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

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5. MULIPLY THE NUMBERS

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6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

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8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

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Answer:

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