Answer:
50=(3x)x
Step-by-step explanation:
50=(3x)x. The question is only asking for the inequality of the problem. Since the area of a rectangle is L x W, you would write L as 3x and W as x, and since the area of the rectangle is given, you can set the area as 50.
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:

At the alternative hypothesis, it is tested if they are different, hence:

<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

In which
is the value tested at the null hypothesis.
Hence:


z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
3.2
Step-by-step explanation:
For this we need to get the entire volume of the mixture. We get it by summing each quantities:
Vol = 10.6 + 0.6 + 8 = 19.2 L
So, we have 19.2 L for 6 bowls.
For getting the punch of each bowl we just need to divide this volume between the 6 bowls:
19.2 / 6 = 3.2 L
So, each bowl has 3.2 L
Answer:
y=−7−(√161/4), −7+(√161)/4
Decimal form- y=1.42214438, -4.92214438
Step-by-step explanation: