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SVETLANKA909090 [29]

3 years ago

13

A tire maker produces 20000 tires to be shipped. they inspect 200 of the tires and find that 16 or defective. how many tires of

the 20,000 tires would you expect to be defective?

1 answer:

Xelga [282]3 years ago

4 0

$\frac{16}{200} = \frac{2}{25}$
is the proportion of tires that are defective so
$\frac{2}{25} \times 20000 = 1600$
so we would expect around 1600 tires to be defective

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otez555 [7]

Given:

The two functions are:

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$g(x)=\sqrt{2x}$

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The $(f\cdot g)(x)$ . Assume $x\geq 0$ .

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We have,

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$(f\cdot g)(x)=f(x)\cdot g(x)$

$(f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}$

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3 years ago

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3 years ago

Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,

Olegator [25]

Answer:

Step 3 is not correct (should be $(x-4)^2$ , not $(x+4)^2$

Step-by-step explanation:

The expression that we have to simplify is:

$5x^2-40x+15$

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

$5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3)$ --> this step is correct

2) We add +16 and -16 inside the brackets:

$5(x^2-8x+16-16+3)$ --> this step is correct

3) We rewrite the term $(x^2-8x+16)$ as the square of a bynomial, which is $(x-4)^2$ , so the expression becomes

$5((x-4)^2-16+3)$ --> we notice that this step is wrong: in fact, Cedric wrote $(x+4)^2$ , which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

$5((x-4)^2-13)$

5) Finally, we multiply the 5 by the terms in the bracket:

$=5(x-4)^2-65$

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3 years ago