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3 years ago

I have no clue how to do this. I just need to pass my online math class.

Mathematics

2 answers:

Gennadij [26K]3 years ago

8 0

So, if you're trying to find the value of f(3), you substitute x=3 into the equation. However, you must be careful.

Which equation in the function do you substitute it into?

2x-9 or 4-x?

You would substitute x=3 into 2x-9.

Why?

See the inequalities at the end of each equation? Those tell you which values you substitute into the equation. Since x=3, you find which inequality it fits under.

It's not x>3 because 3 is not greater than 3. It would be x≤3 because 3 is a value less than or EQUAL to 3.

Now substitute the value x=3 into the correct equation.

2x-9
2(3)-9
6-9
-3

Therefore f(3) = -3.

Lerok [7]3 years ago

3 0

If F(3) then 3=x. So all you would do is substitute 3 in for x

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3 years ago

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antoniya [11.8K]

Answer:

The estimate is $- 0.0265\le K \le 0.0465$

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is $n_1 = 400$

The number of faulty breaks of method A is $X_1 = 32$

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The proportion of the faulty breaks to the total breaks in method A is

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For this estimation the standard error is

$SE = \sqrt{ \frac{p_1 (1 - p_1)}{n_1} + \frac{p_2 (1- p_2 )}{n_2} } }$

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$z_{0.95} = 1.96$

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$K = [p_1 - p_2 ] \pm z_{0.95} * SE$

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$K = - 0.0265 \ or \ K = 0.0465$

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

$- 0.0265\le K \le 0.0465$

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