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vodomira [7]
3 years ago
6

gary mixes a solution using two types of concentration of sale: .70 gallons of 5% and .30 gallons of 22% salt. what is the conce

ntration of the mixed solutions
Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

10.1%

Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

0.7 + 0.3 = 1

Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

x * 1 = 0.7 * 0.05 + 0.3 * 0.22

x = 0.035 + 0.066

x = 0.101

That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)

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Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri
ahrayia [7]

Answer:

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given  Population proportion 'p' = 0.40</em>

<em>Given Margin of error = 0.03</em>

<em>90% of level of significance </em>

<em>                                         </em>Z_{\frac{\alpha }{2} } = 1.645<em></em>

<em>The Margin of error is determined by</em>

<em></em>M.E = \frac{Z_{\frac{\alpha }{2} S.D} }{\sqrt{n} }<em></em>

0.03 = \frac{1.645 X \sqrt{0.40(1-0.40) } }{\sqrt{n} }

on calculation , we get

0.03√n = 0.8058

\sqrt{n} = \frac{0.8058}{0.03} = 26.86

squaring on both sides , we get

n = 721.45≅721

<u><em>conclusion</em></u>:-

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 

5 0
3 years ago
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Step-by-step explanation:

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The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.

Only one answer choice has a positive x-coefficient for x ≥ -2.

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