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Flauer [41]
3 years ago
9

Given that line t is the perpendicular bisector of JK and GK=8.25 find GJ

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0
1. As you can see in the figure attached, the <span> line "t" is the perpendicular bisector of JK, and divides the triangle in two equal right triangles. This means that both triangles are congruent. Therefore, both have equal dimensions. Keeping this on mind, you have the followiig:

 2. Both triangles are congruents, then:

 GK=GJ

 3. So if the lenght GK is 8.25, the length GJ has the same length:

GJ=8.25

 4. Therefore, the answer is:

 GJ=8.25</span>
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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:

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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

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The estimated proportion of people satisfied with the quality of education the students receive is given by:

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The confidence interval for the proportion if interest is given by the following formula:  

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And replacing the info given we got:

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

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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.

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taurus [48]
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~JZ
<span>Hope it helps</span>
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