Classify each pair of lines as parallel, perpendicular, coinciding, or intersecting at a non-right angle:

How do you decide if a decimal is a rational number?

Bogdan [553]

You decide if it has a pattern if it is a repeating pattern then it is a rational number decimal however if it a decimal with no pattern it is irrational

6 0

3 years ago

Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha

Stels [109]

Answer:

a) 0.1535

b) 0.4866

c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

$p(t) = 1 -e ^{- t/3}$

According to this model,

a) the probability that a call in comes within 1/2 minutes is $p(t) = 1 -e ^{- (1/2)/3}$ =0.1535

b) the probability that a call in comes within 2 minutes is $p(t) = 1 -e ^{-2/3}$ =0.4866

c) the probability that a call in comes within 5 minutes is $p(t) = 1 -e ^{-5/3}$ =0.8111

6 0

3 years ago

When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t

aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0

3 years ago

The coordinates of the vertices of a rectangle are (-2, 3), (4, -4), (4, 3), and (-2, -4). What are the dimensions of the rectan

erik [133]

Answer:

D

Step-by-step explanation:

Graph the points. Then count the units vertically and horizontally. See picture.

7 0

3 years ago

Emmanuel added two integers Which condition will always give Emmanuel a negative solution when he adds two integers? Both intege

alexgriva [62]

Both integers have negative values

Explanation

Let

x and y represents the number

so, the options are

$\begin{gathered} +\text{ + +} \\ +\text{ + -} \\ -\text{ + +} \\ -\text{ +-} \end{gathered}$

a) Both integers have negative values Both integers

$-x-y=-(x+y)\rightarrow you\text{ will always get a negative number}$

b) Both integers have positive values

$x+y=+\text{ + += you will always get a positive number}$

c)One integer has a positive value, and one integer has a negative value

$\begin{gathered} -x+y\text{ or x-y} \\ the\text{ sign of the result depends on the greates absolute value, it means the answer will have the same of the bigger number( absolute value)} \end{gathered}$

d)The values of the two integers are opposites

as the point C , the sign depends on the bigger number

for example

$\begin{gathered} 8-5=3\text{ positive because 8 is the bigger} \\ 5-8=-3\text{ negative because (-8) is has the bigger absolute value} \end{gathered}$

so, the answer is Both integers have negative values

I hope this helps you

3 0

2 years ago