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Andrews [41]
3 years ago
11

The following table shows a proportional relationship between m and n

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0

Answer:

m = 7 n ( the '=' is meant to be the proportional sign)

Step-by-step explanation:

21 ÷ 3 = 7

35 ÷ 5 = 7

56 ÷ 8 = 7

11111nata11111 [884]3 years ago
4 0

Answer:

y=7x

Step-by-step explanation:

Notice that if you divide each n-value by its correspoding m-value, you always have 7 as a result, that means it's the constant ratio of change,

21/3 = 7

35/5 = 7

56/8 = 7

Now, this is a linear relatioship by definition, where its constant ratio is 7, but geometrically, that ratio is the slope of a linear equation.

So, we need to use the slope 7, one pair from the table and the point-slope formula

y-y_{1} =m(x-x_{1} )\\y-21=7(x-3)\\y=7x-21+21\\y=7x

<h3>Therefore, an equation that models the given table is</h3>

y=7x

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From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
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The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

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4 0
2 years ago
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vichka [17]

Answer: 2 one

Step-by-step explanation:

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3 years ago
The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t
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<span>The number of workers must be increased by 28%.</span>
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Researches notice a grey whale cruising at a depth of 233 feet below sea level. It rises 73 feet and then comes up another 40 fe
musickatia [10]

Answer:

The whale is at a depth 120 feet below the sea level.

Step-by-step explanation:

A grey whale is cruising at a depth of 233 feet below sea level. The depth below the sea level has the negative position, thus the initial position of the whale is -233.

It rises 73 feet, the position of the whale becomes 73 feet higher. This means we should add 73.

Then it comes up another 40 feet, so we need to add 40.

Mathematically,

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The whale is at a depth 120 feet below the sea level.

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3 years ago
What are the factors of the polynomial a^2 + a - 2? Select all that apply.
forsale [732]

Answer:

<h2>A) a - 1 and B) a + 2</h2>

Step-by-step explanation:

a^2+a-2=a^2+2a-a-2=a(a+2)-1(a+2)=(a+2)(a-1)

5 0
3 years ago
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