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Gnom [1K]
2 years ago
6

Which expression means the sum of 5 and a number? A. g × 5 B. g – 5 C. g + 5 D. g ÷ 5

Mathematics
1 answer:
wel2 years ago
5 0
For this case, the first thing you should do is define a variable.
 We have then:
 g: unknown number.
 We now write the expression in algebraic form.
 the sum of 5 and a number:
 g + 5
 Answer:
 
An expression that means the sum of 5 and a number is:
 
C. g + 5
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4 0
3 years ago
In a reliability test there is a 42% probability that a computer chip survives more than 500 temperature cycles. If a computer c
Strike441 [17]

Answer:

The probability is P(B' n A ' ) =  16%

Step-by-step explanation:

From the  question we are told that  

     A  is the event that  the chip was "made by company A"

      B is  the event that a chip "survives 500 temperature cycles"

    The probability that a computer chip survives more than 500 temperature cycles is

     P(B) = 42% = 0.42

 The  probability that does not survive more than 500 temperature cycles and  it was manufactured by company A is  P(A | B' ) =  0.73

The probability that the  computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as

      P(B' n A ' ) =  P (B' | A' ) P(B ')

Where B' \ and \   A' are a A and B complements and  | represented AND operator  

  So  

        P(B' n A ' ) = [1 -  P (B' | A )] [1 - P(B )]

substituting values

         P(B' n A ' ) = [1 -  0.73] [1 - 0.42 ]

        P(B' n A ' ) = (0.27 )(0.58)

        P(B' n A ' ) =0.16

        P(B' n A ' ) =  16%

7 0
3 years ago
Why is it important to calculate the distance between two points on a cartesian coordinate plane?
Gwar [14]

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,

a

2

+

b

2

=

c

2

, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides

|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,

|

−

3

|

=

3

. ) The symbols

|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.

c

2

=

a

2

+

b

2

→

c

=

√

a

2

+

b

2

It follows that the distance formula is given as

d

2

=

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

→

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

We do not have to use the absolute value symbols in this definition because any number squared is positive.

A GENERAL NOTE: THE DISTANCE FORMULA

Given endpoints

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the distance between two points is given by

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Step-by-step explanation:

4 0
3 years ago
Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 of the bin. Write and
Tpy6a [65]

Answer: 3/16 gallons of water

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