Answer:
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Answer:
- 273 mL of 5%
- 117 mL of 15%
Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
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<em>Additional comment</em>
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
Answer:
The standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Step-by-step explanation:
The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation
σₓ = σ/(√n)
n = sample size = 100
σₓ = σ/(√100)
σₓ = (σ/10) = 0.1σ
Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Answer: 37
Explanation: Triangles's angles add up to 180. 180-45-98 is 37
Answer: It is vertical
Step-by-step explanation:
