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kow [346]
3 years ago
14

The Bobcats had a win-loss record of 41-23 before their star player, Melissa, got injured. Melissa didn’t play in any more games

, and the Bobcats finished the season with an overall win-loss record of 54-34. What is the absolute difference in the Bobcats’ win percentages with and without Melissa? Express your answer to the nearest whole number.
Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

The win percentage decreased by 10%

Step-by-step explanation:

First you need to fin the total games played right before Melissa got Injured

41+23=64

Then you need to find the win percentage by making a fraction of wins over total games

wins/total games = 41/64 = 64%

Then you need to find the number of games played after Melissa got injured

54-41 = 13 wins

34-23 = 11 losses

13+11 = 24 total games played without Melissa

You find that win percentage similarly to the first time

wins/total games = 13/24 = 54%

Then you find the difference in the percentages and there you have it!!

64% - 54% = 10%

It decreased as well therefore the answer is...

It decreased by 10%

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Find the total area for the regular pyramid T.A. =
Stolb23 [73]

Answer:

The answer to your question is At = 48 + 36\sqrt{3}

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

    Area = length x height / 2

    length = 12

    height² = 12² - 6²

                 = 144 - 36

                 = 108

    height = \sqrt{108} = 6\sqrt{3}

    Area = 12 x 6\sqrt{3} / 2

              = 36\sqrt{3}

b) Lateral area

   height² = 10² - 6²

                = 100 - 36

                = 64

   height = 8

   Area = 12 x 8/2

            = 48

c) Total area

   At = 48 + 36\sqrt{3}

4 0
3 years ago
Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Allisa [31]

Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
3 years ago
Choose the expanded form of this expression 4(1/4 a + b - 6)
zalisa [80]

Answer:

a+4b-24

Step-by-step explanation:

4(1/4a+b−6)

=(4)(1/4a+b+−6)

=(4)(1/4a)+(4)(b)+(4)(−6)

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3 0
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marishachu [46]
The equation would be 6x+5y=316. X represents the car travelers and the y represents the bus travelers
3 0
3 years ago
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DerKrebs [107]

Answer:

The answer to your question is below

Step-by-step explanation:

1)  Given

2)  Subtraction property of equality (because we are subtracting the same quantity on both sides).

3) Simplification

4) Subtraction property of equality ( because we are subtracting the same quantity on both sides).

5) Simplification

6) Multiplication property of equality (because we are multiplying the same quantity on both sides).

7) Simplification

7 0
3 years ago
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