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NARA [144]
3 years ago
15

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t

eam scored points.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

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The sample size is  n  = 600

Step-by-step explanation:

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    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

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Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

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Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
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