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maw [93]
3 years ago
11

A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

<u>Data</u>

  • mean: 80 points
  • standard deviation (sd): 6 points
  • value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

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Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper ba
Scilla [17]

Answer:

The mean no. of red cubes is more than the median no. of red cubes.

Step-by-step explanation:

According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).

No. of red cubes           No. of bags           (x_{i}f_{i})

 (x_{i})                                        (f_{i})

    0                                     2                             0

     1                                     0                             0

     2                                    2                             4

     3                                     1                             3

     4                                     1                             4

     5                                     0                            0

     6                                     1                              6

     7                                      2                           14

      8                                     1                             8

      9                                     0                            0

    10                                      0                            0

 Total                                 10                            39

Now, no. of bags containing no. of red cubes  above 10   is  0   [since there are as a whole 10 bags only]

       

So, from  the table we  get that  mean no, of red cubes in each bag

  = \frac {\sum_{i =1}^{10}x_{i}f_{i}}{\sum_{i=1}^{10}f_{i}}

  =  39/10 = 3.9

Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3

= (2 + 2 + 1) = 5

and, no. of bags with no. of red cubes  ≥ 4

= (1 + 1 + 2 + 1) = 5

Also there are 1 bag each for no. of red cubes = 3 and 4

So. median no. of red cubes = (3 + 4)/2 = 3.5

So, we get that the mean no. of red cubes is more than the median no. of red cubes.

5 0
3 years ago
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You pay $22 to rent 6 video games. The store charges $4 for new games and $2 for old games. How many new games did you rent?
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Answer: 5 new games. 1 old game.
4x5=$20
Add the remaining $2 which Is the cost of 1 old game to get to the total spent.
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Help me please I need help
cluponka [151]

Answer:

A=5, B=3y

Step-by-step explanation:

Please see attached picture for full solution

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Factor completely 4x2 − 32.
Korvikt [17]

Answer: 4(x + 4)(x - 4)

Step-by-step explanation:

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kkurt [141]

Answer:

  1. g(x) = 2|x|
  2. g(x) = -2|x|
  3. g(x) = -2|x| -3
  4. g(x) = -2|x-1| -3

Step-by-step explanation:

1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...

  g(x) = 2|x|

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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.

  g(x) = -2|x|

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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.

  g(x) = -2|x| -3

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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...

  g(x) = -2|x -1| -3

7 0
3 years ago
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