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Naily [24]
3 years ago
14

Four dice, each numbered in the usual way from 1 to 6, are colored white, red, green and blue respectively. After casting them a

boy scored in the following way. To the white numbered he adds twice the red and blue numbered and then subtract the green numbered. Assume that the boy casts the dice large number of times; calculate the mean and variance of scores.
Mathematics
1 answer:
Delvig [45]3 years ago
5 0
Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
 3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
  We need to interpret the statement given above.   The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has. 
 3+4+4+6+6+5=  28 / 6
                        = 4.67    The mean is 4.67
For the variance, we will use the mean above ( 4.67 )

1. Squared the mean and subtract how many numbers are present in the set. 
   4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result 

  3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25

9+16+16+36+36+25= 138 

3. Subtract the result of #2 with #1
          138 - 3.64=  134.36 set this aside

4. Subtract 1 from the total numbers you have in your set

 6 - 1= 5 

5. Divide the result we have in #3 with the result of #4

  134.36 / 5= 26. 872

So the variance is 26.872 
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Answer:

10

Step-by-step explanation:

That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.

Numarical form:

47 + 37 = 79

90 - 79 = 11

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ioda
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3 years ago
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loris [4]

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

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the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

3 0
3 years ago
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KonstantinChe [14]

Answer:

  71°

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement:

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Comparing to the given expression, we see that x = 71°.

7 0
3 years ago
1. Simplify the expression<br> 11x + 3x
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Answer:

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Step-by-step explanation:

Step 1: Collect like terms by adding their coefficients

(11+3)x

Step 2: Add the numbers

14x

4 0
3 years ago
Read 2 more answers
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