Jamaar helped in the community garden for \dfrac{21}{10}

1 answer:

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Using proportions, it is found that 21/10 divided by 2 and 4/5 represents the number of shifts that Jammar worked.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, we have that following<em> rule of three</em>:

One shift - 2 and 4/5 hours.

x shifts - 21/10 hours.

Applying cross multiplication, the number of shifts is found as follows:

2 4/5x = 21/10.

x = (21/10)/(2 4/5)

Hence 21/10 divided by 2 and 4/5 represents the number of shifts that Jammar worked.

More can be learned about proportions at brainly.com/question/14398287

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Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are: