now, the first one, on the far-left.... can't see the height.. but I gather you do, now as far as its Base area, well, the bottom is just a 12x12 square, so the area of its base is just 12*12
now, the middle pyramid, has a height of 6, the base is also a square, 8x8, so the Base area is just 8*8
now the last one on the far-right
has a height of 8, the Base is a Hexagon, with sides of 6
Using the z-distribution, it is found that the 90% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is (0.4689, 0.5311).
<h3>Confidence interval of a proportion</h3>
- In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following <em>confidence interval of proportions.</em>
- In which z is the z-score that has a p-value of .
In this problem:
- 350 out of 700 in the sample said yes, hence .
- 90% confidence level, hence, z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is (0.4689, 0.5311).
To learn more about the z-distribution, you can take a look at brainly.com/question/26130512
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Define x:
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Let the number of shells Carron collected be x.
Carron = x
Mandee = 4x
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Construct Equation and solve x:
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x + 4x = 40
5x = 40
x = 8
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Find the number Carron and Mandee have:
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Carron = x = 8
Mandee = 4x = 4(8) = 32
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Answer: Mandee collected 32 shells.
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We know that class starts 11:25 AM (be sure to note that there are only 60 minutes in an hour).
We know that class lasts 30 minutes.
First of all, let's find the time class ends.
11:25 AM (class starts) + 00:30 (minutes) = 11:55 AM (class ends)
Let's start with Yul's time first.
We know that Yul left when class was done, the time was already calculated when we added the time the class started with the time the class lasted and we got (in the previous line) 11:55 AM was when class ended, therefore, Yul left at 11:55 AM.
Sarah stayed an extra 5 minutes.
Class ended 11:55 AM. Simply add 5 minutes (00:05) to 11:55 AM.
11:55 AM (time class ended) + 00:05 (extra time to talk with the teacher) = 12:00 PM. Therefore, Sarah left at 12:00 PM.
As stated in the beginning of this problem, each hour only lasts 60 minutes, not 100 minutes, so every time the minutes are at the 60 tick mark, a new hour starts (in this case, 12:00 PM).
Yul left at 11:55 AM.
Sarah left at 12:00 PM.