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Natalka [10]
3 years ago
8

Susie is participating in a bake sale for a fundraiser. She baked 8 pies to sell. Two pies weigh 105 g each, one pie weighs 106

g, two pies weigh 108 g each and the last three pies weigh 103.5 g, 102 g and 104.5 g.
What is the average weight of the pies rounded to two decimal places?
Enter your answer in the box.
Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

105.25 g

Step-by-step explanation:

The average weight is the sum of the weights divided by the number of pies.

(105 + 105 + 106 + 108 + 108 + 103.5 +102 +104.5) / 8

= 105.25

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Step-by-step explanation:

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Point is on a circle if the distance from of the circle to the point of equal to the what
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A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu
Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

16(36-f) = f^2 - 48f + 576

576-16f = f^2 - 48f + 576

-16f = f^2 - 48f

Collect like terms

f^2 - 48f + 16f = 0

f^2 -32f = 0

Factorize

f(f - 32) = 0

f = 0 or f = 32

f can not be 0 because some units must be ordered.

So, f = 32

6 0
3 years ago
The commission on the sale of a property is 4.5% of the value. What is the commission on the sale of a property that has a value
Lilit [14]

Answer:

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Step-by-step explanation:

1. Multiply the value by the percentage.

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This is the amount of the commission.

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Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05

Compute the critical value as follows:

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**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

7 0
3 years ago
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