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posledela
3 years ago
6

Buffy attends a night school, and the ages of the people in his study group are 42, 55, 36, 41, 38, 33, and 46. What is the best

estimate of the population mean for ages of night school attendees? Enter your answers rounded to the nearest tenth.
Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

41.6

Step-by-step explanation:

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What is equivalent to 4.321 × 10−4 ?<br><br> What is equivalent to 4.321 × 10−4 ?
Arlecino [84]

Please write that as 4.321 × 10^(−4).  The " ^ " indicates exponentiation and the parentheses help make clear that your exponent here is a negative one.

Rewrite 4.321 × 10^(−4) by moving the decimal point 4 places to the left:

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Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is  negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317  

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Answer:

The first one

Step-by-step explanation:

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Step-by-step explanation:

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