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bonufazy [111]
2 years ago
9

a teacher has three packages of crayons. one package contains 52 crayons, another contains 12 crayons, and the third package con

tains 96 crayons. how many crayons will each student receive if the teacher divides them equally among her class of 22 students?
Mathematics
1 answer:
kotegsom [21]2 years ago
5 0

Answer: 7 crayons

Step-by-step explanation:

To solve we first must find the total number of crayons available by adding up how many crayons are in each container.

         56+12+96 = 160 crayons total

Next we take this number and divide it by 22 (the number of students in the class) to determine how many crayon each student gets

         160 crayons/22 students = 7.272727 crayons per student

However, it's important to note that this number is not a whole number. We must then round down to the nearest whole number because students aren't given fractions of crayons.

         7.272727 ==> 7 crayons per student

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Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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For this problem, we have that:

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

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