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Sonbull [250]
4 years ago
9

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 5% syrup?

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
5 0

4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.

<u>Solution:</u>

Let us assume that x is the required pounds sugar to make 5% syrup

\Rightarrow\frac{x}{\text{total quantity}}=5\%

which is \frac{x}{5}=5\%

On solving we get,

\Rightarrow\frac{x}{5} =0.05 [5\%=\frac{5}{100}]

\Rightarrow x = 5\times0.05\rightarrow x=0.25

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

5 \text{ lbs }-0.25 \text{ lbs }=4.75 \text{ lbs }

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.

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in a population distribution a score of x=28 corresponds to z=-1.00 and a score of x=34 what is the mean and standard deviation
irakobra [83]
x=28\implies z=\dfrac{28-\mu}\sigma\implies \mu-\sigma=28

x=34\implies z=\dfrac{34-\mu}\sigma\implies \mu+\sigma z=34

We need the exact value of z to find a proper solution, but a general one can still be found. Subtracting the first equation from the second gives

(\mu+\sigma z)-(\mu-\sigma)=34-28\implies (z+1)\sigma=6\implies \sigma=\dfrac6{z+1}

Plug this into either equation and you get

\mu-\dfrac6{z+1}=28\implies \mu=28+\dfrac6{z+1}

(It's guaranteed that z\neq-1 in this case because that already corresponds to x=28.)
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Step-by-step explanation:

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the equation that can be used to represent this is:

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to find a, divide both sides by 1.376

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