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jek_recluse [69]
3 years ago
12

The frequency table shows the scores from rolling a dice 10 times work out the mean

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0
<h3>Answer:   3.8</h3>

==========================================================

Explanation:

For each row, multiply the values straight across.

  • Row one: 1*1 = 1
  • Row two: 2*3 = 6
  • Row three: 3*0 = 0
  • Row four: 4*2 = 8
  • Row five: 5*1 = 5
  • Row six: 6*3 = 18

The list of products we got were: 1, 6, 0, 8, 5, 18

Add up those products to get: 1+6+0+8+5+18 = 38

The value 38 represents the total value if we were to add up all of the results of each die roll (it shows up again in the next section). We divide this over the total frequency, which is the sum of everything in the second column. That total frequency being 1+3+0+2+1+3 = 10.

So the mean is 38/10 = 3.8

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

A longer way to do this is to expand each value based on the frequency shown. The value '1' shows up one time, so we just write "1" once. The value "2" shows up three times, so we write "2" three times. So far the list is {1,2,2,2}

The value "3" doesn't show up at all, so we skip to "4" which shows up twice. The updated data set so far is {1,2,2,2,4,4}

Then it updates again to {1,2,2,2,4,4,5} when we account for the single "5"

Finally, the fully up to date list of values is {1,2,2,2,4,4,5,6,6,6}

Computing the mean of this set has us add up the values to get 1+2+2+2+4+4+5+6+6+6 = 38. We have that "38" show up again, which is not a coincidence. We divide over 10 because there are ten values in the fully up to date list shown above. So this is a different method to get the mean of 3.8

If you prefer this second method, then you should use it; however, I recommend the first method as it's faster and more efficient. It might be handy to try both methods just for practice.

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1/2 a inch was this helpful

6 0
3 years ago
What is the slope of the line of (1,0) and (-1,-3)
Alinara [238K]

Slope formula: m = \frac{(y2-y1)}{(x2-x1)} (Knowing that m represents the slope)

Substitute (1,0) for (x1,y1), and (-1,-3) for (x2,y2)

Slope of the line of (1,0) and (-1,-3) is:

m = \frac{(-3-0)}{(-1-1)} = \frac{-3}{-2} = \frac{3}{2}  

(Simplify)

Slope of the line of (1,0) and (-1,-3) is \frac{3}{2}

6 0
3 years ago
Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
3 years ago
Write the sentence as an inequality.<br><br> The sum of twice a number n and 8 is less than 25
wel

Answer:

less than twenty five

v

25 - <u>(2n + 8)</u> < the sum of 2 times N plus 8.

Step-by-step explanation:

6 0
3 years ago
Help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown
Afina-wow [57]

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

3 0
3 years ago
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