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Leviafan [203]
3 years ago
7

A recent article in a college newspaper stated that college students get an average of 7 hrs of sleep each night. A student who

was skeptical about this value decided to conduct a survey by randomly sampling 36 students. On average, the sampled students slept 6.6 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.
Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Solution -

A student who was skeptical about this value decided to conduct a survey by randomly sampling 36 students. On average, the sampled students slept 6.6 hours per night.

The sample mean is the average of the 36 sampled students, which is 6.6 hours. So 6.6 represents the <u><em>sample mean.</em></u>

College newspaper stated that college students get an average of 7 hrs of sleep each night.

The claimed population mean is the stated average from the newspaper article, which is 7 hrs.  So 7 represents the <u><em>claimed population mean.</em></u>

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The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that perio
AlladinOne [14]

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

<em>The question has missing details. See attachment for complete question</em>

Solving (a): An expression for total cost.

The expression is generated using:

Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items

From the given parameters:

Fixed\ Cost = 9000

Variable\ Cost = 15

Number\ of\ Items = N

So, the expression becomes:

C = 9000 + 15 * N

C = 9000 + 15 N

Solving (b): Cost of 250 widgets

In this case:

N =250

Substitute 250 for N in C = 9000 + 15 N

C = 9000 + 15 * 250

C = 9000 + 3750

C = 12750

3 0
3 years ago
A rectangular box is 32 cm wide and 36 cm high. If the surface area of the box is 4344 square​ centimeters, find the length of t
AnnZ [28]

To find the surface area, multiply length x width x height.

let "length" = l

l x 32 x 36 = 4344

Simplify

l x (32 x 36) = 4344

l x 1152 = 4344

Isolate the length. Divide 1152 from both sides

(l x 1152)/1152 = (4344)/1152

l = 4344/1152

l = 3.77 (rounded)

3.77 cm is your length.

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8 0
3 years ago
Write two different mixed numbers where the LCD (lowest common denominator) is 12
Mars2501 [29]

Two mixed numbers as \frac{5}{6} and \frac{5}{12} the least common denominator (LCD) is 12.

<u>Step-by-step explanation:</u>

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>

  • Convert integers and mixed numbers to improper fractions
  • Find the LCD of all the fractions
  • Rewrite fractions as equivalent fractions using the LCD

Let's us have two mixed numbers as \frac{5}{6} and \frac{5}{12}.

Equivalent Fractions with the LCD

\frac{5}{6} = \frac{10}{12}

\frac{5}{12} = \frac{5}{12}

For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.

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3 years ago
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