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3 years ago

How can you tell if a discontinuity of a limit is removable or not removable?

Mathematics

1 answer:

azamat3 years ago

8 0

A discontinuity is present if any of ...

the limit doesn't exist
the limit is not the same as the value of the function

If the one of these that is the cause of discontinuity is the last one and defining the function will make this issue go away, then the discontinuity is removable.

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Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manuf

7nadin3 [17]

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

c) Comment on the conclusion when H0 can be rejected:

When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

3 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

A book store offers a sale on a new book. The sale is "buy two of the books and get the third book free." Tommy pays $26 for thr

Molodets [167]

Answer:

Salvo en cada library 4.33

3 0

3 years ago

De cite ori trebuie micsorat numarul 1000 pentru a obtine numarul cu 10 mai putin decit 50.

amid [387]

The answer is 19.8 to ur problem

5 0

3 years ago

In a football stadium, 43% of the crowd cheering for Team A, and 52% of the crowd is female. 19% of the crowd is cheering for Te

musickatia [10]

P(TeamA) = 0,43
P(Female) = 0,52
P(TeamA and Female) = 0,19
P(TeamA or Female) = ?

P(TeamA or Female) = P(TeamA) + P(Female) - P(TeamA and Female) <=>

P(TeamA or Female) = 0,43 + 0,52 - 0,19 <=>

P(TeamA or Female) = 0,76 or 76%

4 0

3 years ago