4 years ago

12. Gezane Patez is paid $6.25 for each toy she assembles. Last week she assembled the following number of

Mathematics

1 answer:

Mars2501 [29]4 years ago

5 0

Answer:

$668.75

Step-by-step explanation:

Find the total number of toys:

27 + 20 + 19 + 19 + 22 = 107 total toys

Then calculate the total money earned at a rate of $6.25 per toy:

107 × 6.25 = $668.75

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An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of stude

AnnZ [28]

Answer:

60 students

Step-by-step explanation:

The confidence interval of a proportion is given by:

$p\pm z*\sqrt{\frac{p*(1-p)}{n} }$

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.

If the confidence interval is from 0.584 to 0.816, then:

$p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students$