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muminat
2 years ago
7

Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many

quarts of antifreeze are in the resulting mixture?
Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used. 

That is,
   T = 6 quarts + 10 quarts = 16 quarts

The total volume of the resulting mixture is 16.

Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.

    6(0.52) + 10(0.32) = 16(x)

The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%. 
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Say a hacker has a list of n distinct password candidates, only one of which will successfully log her into a secure system. a.
alexdok [17]

Answer:

The probability is \frac{1}{n}

Step-by-step explanation:

If she has n distinct password candidates and only one of which will successfully log her into a secure system, the probability that her first first successful login will be on her k-th try is:

If k=1

P = \frac{1}{n}

Because, in her first try she has n possibles options and just one give her a successful login.

If k=2

P=\frac{n-1}{n} *\frac{1}{n-1} =\frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and 1 of that give her a successful login.

If k=3

P=\frac{n-1}{n} *\frac{n-2}{n-1} *\frac{1}{n-2} = \frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and n-2 that are not correct and after that, she has n-2 possibles options and 1 give her a successful login.

Finally, no matter what is the value of k, the probability that her first successful login will be (exactly) on her k-th try is 1/n

7 0
2 years ago
Given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.
Hitman42 [59]

\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}

<h3>x = 21/5</h3>

Step-by-step explanation:

<h3>___________________________</h3>

<h3>Given →</h3>

5x:9 = 7:3

<h3>So,</h3>

→ 5x/9 = 7/3

→ x = (7 × 9)/(3 × 5)

→ x = 21/5

<h3>___________________________</h3>

<h3>Hope it helps you!!</h3>
8 0
1 year ago
Evaluate: (8/27)^-2/3 <br><br> add: sqroot(27) + sqroot (75)
vredina [299]
The answer to the first question
is 2 1/4.
The answer to the second question is 8 sqroot 3. Hope I was able to help

3 0
2 years ago
W divided into 7 equals 15
olasank [31]
Multiply both sides by 7. w=<span>105</span>
6 0
3 years ago
The sum of three consecutive odd integers is -129. lost the numbers from smallest to largest.
frozen [14]

Answer:

15ndndndbdbdbdbbdbdbdd

8 0
3 years ago
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