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Mathematics 13 Online
Adovbush:

help.

Adovbush:

1 attachment
Ardin:

have you plugged the foromulas in yet to replace f and g?

mhanifa:

Sum the expressions on the right side

mhanifa:

And bring to standard form after simplification

Ardin:

its gonna be (2x^2 - 5x + 16) + (10x^2 - 7) if im remembering this stuff right

Adovbush:

ah so it's c

Adovbush:

thanks what about this The amount of pop in a bottle is normally distributed with a mean of 2000 mL and a standard deviation of 62mL. If 5000 bottles of pop are filled on a production line, approximately how many bottles would contain less than 1885 mL?

Ardin:

ah, deviations and mean i don't remember very well, im guessing you know the standard deviations use, uhm lets see, 2000ml give or take 62, 2000ml time 5000 bottles uh im not sure

Isolation:

compare 1885 to 2000, it's 125, which is 2 times the standard deviation So it's 2000mL - 2SD If you know the SD graph thing, 68, 97, 99.7 So by 2 SD's, you only have 100-50-34-13.5 = 2.5 so it's 2.5% So do 5000 tiems 2.5%, which is 5000 times 0.025

Isolation:

I'm not really sure how to explain it without the distribution curve lol

Adovbush:

dope thanks An apple orchard's workers pick 12,500 apples in the month of October. A sample of 300 of these apples shows that 15 of them are damaged and bruised. What is the best estimate of the number of apples picked at the orchard in October that are bruised and damaged?

Isolation:

@adovbush wrote:
dope thanks An apple orchard's workers pick 12,500 apples in the month of October. A sample of 300 of these apples shows that 15 of them are damaged and bruised. What is the best estimate of the number of apples picked at the orchard in October that are bruised and damaged?
You can set up a proportion \[\frac{ x }{ 12500 } = \frac{15}{300}\] solve for x

Adovbush:

how do i do that

Isolation:

\[(\frac{x}{12500})12500=\frac{15}{300}(12500)\\x=\frac{15}{300} \times 12500\]

Extrinix:

Convert \(\dfrac{15}{300}\) to a percent, We can convert it to it's lowest fraction, \(\dfrac{1}{20}\), and to find the percent just multiply it by 5 on top and bottom, \(\dfrac{1}{20}~\dfrac{\times 5}{\times 5}\) which equals, \(\dfrac{5}{100}\) Then take the percent as a decimal, \(0.5\) and multiply it by \(12500\), \(12500 \times 0.5\) which would give you: \(625\)

Adovbush:

thank you all very much.

Extrinix:

You're welcome.

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