Simplify.

Determine the written description of the complement of the given event. When 13 computers are shipped, at least one of them is

julsineya [31]

Answer:

A. None of them are defective

True that's equivalent since none defective means 0 defective

Step-by-step explanation:

For this case we have a total of 13 computers and we define the event:

E= "At least one of them is defective"

When we say at last one means that can be 1,2,3,4,5,6,7,8,9,10,11,12 or 13

The complement for this case is E' ="None of them is defective"

Let's analyze one by one the possible options:

A. None of them are defective

True that's equivalent since none defective means 0 defective

B. None of them are free of defects

False thats note equivalent since that means all have defects and that's not the complement.

C. More than one of them are free of defects

False we are interested on the complement and on this case 1 or more defective is not the complement for this case.

D. All of them are defective

False the complement is defined as non of them defective and for this case is not the correct way.

6 0

3 years ago

!!!!!! HELP REQUIRED The expanded form of (2x-3y)²

Law Incorporation [45]

Answer:

(2 x x)^2 - (3 x y)^2

Step-by-step explanation:

Hope that helps sorry if it dosen't.

3 0

3 years ago

Read 2 more answers

What is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $8.00 $16

horrorfan [7]

$24.

8% of $100 is $8.

$8 x 3 years = $24

3 0

3 years ago

if two pyramids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes? ...?

jok3333 [9.3K]

The answer is 8:343.

We can use Galileo's square cube law to calculate the ratio between two similar pyramids. The law is used to describe the change of the area or the volume of the shape when their dimensions increase or decrease:
$\frac{V_1}{V_2} =( \frac{l_1}{l_2} )^{3} \\$ 
 
V₁ and V₂ - volumes of pyramids,
l₁ and l₂ - the edges of pyramids.

 $\frac{V_1}{V_2} =( \frac{l_1}{l_2} )^{3} \\ \frac{V_1}{V_2} =( \frac{2}{7} )^{3} \\ \frac{V_1}{V_2} = \frac{2^{3}}{7^{3}} \\ \frac{V_1}{V_2} = \frac{8}{343} \\$

3 0

2 years ago

Read 2 more answers

A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).

Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0

2 years ago