4.5(32 divided by 8) +12
1 answer:
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Answer:
<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.
Step-by-step explanation:
Given:
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.
If the mixture is to be made from milk containing 5% butterfat, and cream
containing 20% butterfat.
Now, to find the pints of each is needed.
Let the pints of 5% butterfat be
And the pints of 20% butterfat be
<em>So, the total pints of milk:</em>
......(1)
<em>As, given:</em>
<em>1,000 pints of milk that contains 8% butterfat.</em>
<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>
According to question:
Substituting the value of from equation (1):
<em>Subtracting both sides by 5000 we get:</em>
<em>Dividing both sides by 15 we get:</em>
<em>The pints of 20% butterfat = 200 pints.</em>
Now, to get the pints of 5% butterfat we put the value of in equation (1):
<em>The pints of 5% butterfat = 800 pints.</em>
Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.
Answer:
- -2.2
- 1.4%
- -0.6
- 27.4%
- 26%
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
