Answer:
<h2>
X=1</h2><h2>
y=2</h2>
please see the attached picture for full solution..
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Answer:
0.97725
Step-by-step explanation:
Given :
Population mean, μ = 4.2
Population standard deviation, σ = 1.8
Sample size, n = 36
Obtain the Zscore of x = 4.8
Zscore = (x - μ) ÷ (σ / √n)
Zscore = (4.8 - 4.2) ÷ (1.8 / √36)
Zscore = 0.6 ÷ 0.3
Z = 2
Hence,
P(Z ≤ 2)
Using the Z probability calculator :
P(Z ≤ 2) = 0.97725
< for the first one. 3.4<4.0<4.2 for the second
Answer:
78 ml of 7% vinegar and 312 ml of 12% vinegar.
Step-by-step explanation:
Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.
We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:
We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be .
The second brand contains 12 vinegar, so amount of vinegar in y ml would be .
We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.
Upon substituting in equation (1), we will get:
Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.
For this case we must rewrite the following expression:
We have that by definition of multiplication of powers of the same base, we place the same base and add the exponents, example:
So:
Thus, the expression is rewritten as , using exponents.
Answer: