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aleksklad [387]
2 years ago
11

Out of the 25 students in Mrs. Coulter's class, 15 are girls. In the school there are 390 boys. If the ratio of boys to students

in Mrs. Coulter's class is proportional to the ratio of the number of boys in the school to the total number of students in the school, how many students are at the school?
Mathematics
2 answers:
GREYUIT [131]2 years ago
6 0

Answer:

975 students

Step-by-step explanation:

This is a dense question. Let's look at it piece by piece:

1. The ratio of boys to students in the class is 10/25. If there are 25 students and 15 girls, that leaves 10 boys.

2. The question says that the ratio is in proportion of boys to total students in the school. "In proportion" in this case means that if we convert 10/25 to a fraction with numerator 390, the denominator is the amount of students in school.

3. 10x39=390. What you do the numerator you must do to the denominator: 25x39=975.

4. This means 975 students go to the school.

kotegsom [21]2 years ago
6 0
That is correct I would say!
Ty for the explanation
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<em>92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.</em>

<em>(0.46154 , 0.558)</em>

Step-by-step explanation:

Given sample size 'n' = 210

The sample proportion 'p' = 51% = 0.51

<em>Confidence intervals are determined by</em>

(p^{-} - z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} }{n} }  , p^{-} +Z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} )}{n } } )

The 92% of z-score value

Z_{\frac{\alpha }{2} } = Z_{\frac{0.08}{2} } = Z_{0.04} = 1.405

<em>92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.</em>

<em></em>(0.51 - 1.405 \sqrt{\frac{0.51 (1-0.51 }{210} }  , 0.51 +1.405 \sqrt{\frac{0.51 (1-0.51)}{210 } } )<em></em>

<em>on calculation , we get</em>

<em> (0.51-0.048 , 0.51 + 0.048)</em>

<em>(0.46154 , 0.558)</em>

<u><em>Final answer:-</em></u>

<em>92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.</em>

<em>(0.46154 , 0.558)</em>

<em></em>

3 0
3 years ago
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