A factory makes 7000 flash drives each week. For testing purposes,

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Answer:

245 flash drives

Step-by-step explanation:

We can assume that the proportion of broken flash drives in the 200 drive sample is the same as the proportion of broken flash drives in the weekly output. Therefore, if we let $x$ be the number of broken flash drives produced that week, we can write the following equation:

$\frac{7}{200} =\frac{x}{7000}$

Solving for $x$ , we get:

$\frac{7}{200} =\frac{x}{7000}$

$7000 * \frac{7}{200} =x$ (Multiply both sides of the equation by $7000$ to isolate $x$ )

$\bf x=245$ flash drives (Multiply)

Hope this helps!

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Without solving explain why the equations do not have solutions

Talja [164]

<h2>Examining the equation</h2>

We have 2 terms:

$\sqrt{x+2}$ and $\sqrt{4x+1}$

For the sum of these to equal a negative number, in this case -3, one of these terms would have to be negative.

<h2>So what's the problem?</h2>

The function $\sqrt{x}$ (square root of x) only returns positive values!

(See the attached image for a graph of $\sqrt{x}$ )

Since neither of the terms can be negative, it can't be equal to -3. In other words, no matter what we put as $x$ , we can't solve the solution, so we say that the equation <em>does not have any solutions.</em>