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Cloud [144]
3 years ago
5

Two cooling fans are installed in some laptop computers. Suppose the reliability of each cooling fan is 0.92. What percent impro

vement in reliability does adding the second fan provide
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

8%

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

1 - (0.9936) / r

1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

= 0.08 / 100 = 8%

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Which expressions represent a quadratic expression in factored form?
Bingel [31]

Answer:

3 and 4

Step-by-step explanation:

Well to start we have to know that they are asking us, a factorized form of a quadratic expression

a quadratic expression is of the form

ax ^ 2 + bx + c

Now the factored form is as follows            

 a ( x - x1 )  ( x - x2 )

Next, let's look at each of the options

In this case we lack a term with x since if we solve we have a linear equation

1.    5(x+9)

  5x + 45

In this case if we pay attention they are being subtracted instead of multiplying, so we will not get a quadratic function

2.    (x+4) - (x+6)

       -2

In this case we have everything we need, now let's try to solve

3.     (x-1) (x-1)

      x^2 - x - x + 1

      x^2 - 2x + 1       quadratic function

In this case we have everything we need, now let's try to solve

4.     (x-3) (x+2)

        x^2 -3x +2x -6

         x^2 -x - 6    quadratic function

In this case we have a quadratic function but we do not have it in its factored form since we can observe the x ^ 2

5.     x^2 + 8x

8 0
3 years ago
Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.
Lera25 [3.4K]
The possible outcomes are:
1,1~~1,2~~1,3~~1,4~~1,5~~1,6
2,1~~2,2~~2,3~~2,4~~2,5~~2,6
3,1~~3,2~~3,3~~3,4~~3,5~~3,6
4,1~~4,2~~4,3~~4,4~~4,5~~4,6
5,1~~5,2~~5,3~~5,4~~5,5~~5,6
6,1~~6,2~~6,3~~6,4~~6,5~~6,6

The possible products are:
1~~2~~3~~4~~5~~6
2~~4~~6~~8~~10~~12
3~~6~~9~~12~~15~~18
4~~8~~12~~16~~20~~24
5~~10~~15~~20~~25~~30
6~~12~~18~~24~~30~~36


a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

7 0
3 years ago
The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f
Sveta_85 [38]
The answer is $25.

x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86

This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25

So, the price of the adult ticket is $25 and the price of the child ticket is $12.
5 0
3 years ago
Please help ASAP :{ jhjkhybblvklmmm
babunello [35]

Answer:

<h2>C</h2>

Step-by-step explanation:

V=0.5*b*l*h

V=0.5*10*28*12

V=10*14*12

V=10*168

V=1680 m^3 or C

8 0
3 years ago
Read 2 more answers
Are the statements true or false?
My name is Ann [436]

false false false false false

5 0
3 years ago
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