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Helga [31]
4 years ago
8

Which expression is equivalent to a + (c + 7)?

Mathematics
1 answer:
Elina [12.6K]4 years ago
3 0

Answer:

(a + c) + 7

Step-by-step explanation:

Because the only type of math in this expression is addition, whatever way you write it (keeping only plus signs), the answer will be the same. So,              a + (c + 7) is equal to (a + c) + 7.

I hope this helps!

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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
Could someone please help me i really don't understand this
Ray Of Light [21]

Answer:

69

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

  • Ф = central angle of arc and
  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

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7 0
2 years ago
(−2)⋅(8)−(4)⋅(−3)<br> A. -17<br> B. -3<br> C. -4
Gwar [14]
The Answer To This Problem is: C.-4
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What is the solution to the trigonometric inequality 2sin(x)+3&gt;sin ^2(x) over the interval
navik [9.2K]

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

<h3>How to solve trigonometric inequality?</h3>

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

Read more about trigonometric inequality at; brainly.com/question/27862380

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3 0
2 years ago
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