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yulyashka [42]
3 years ago
7

PLEASE HELP THIS IS URGENT

Mathematics
2 answers:
Lisa [10]3 years ago
6 0
X= 1, x = 5

-3|x - 3| = -6
———— —– divide both sides by -3
-3 -3 and remove the bars

x - 3 = 2
+3 +3
—————
x = 5⭐️

-3|1-3|➡️-3|-2|= -6
ICE Princess25 [194]3 years ago
4 0

Answer:

A. x = 1, x = -1

Step-by-step explanation:

Given the inequality

−3|x − 3| = −6

The equation will give us two solutions due to the nodulus sign. The modulus sign means that the function x- 3 can take both positive and negative value.

If |x-3| is positive, we have:

-3(x+3) = -6

-3x-9 = -6

Moving -9 to the other side:

-3x = -6-(-9)

-3x = -6+9

-3x = 3

x = 3/-3

x = -1

Similarly if |x-3| is negative, we have:

-3{-(x-3)} = -6

-3(-x+3) = -6

3x-9 = -6

3x = -6+9

3x = 3

x = 3/3

x = 1

The solutions are x = -1 and x = 1

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Both sum of three consecutive integers is 108 what are the three integers ​
Brilliant_brown [7]

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108          {Combine like terms}

     3x + 3   = 108          {Subtract 3 from both sides}

             3x = 108 - 3

            3x = 105            {Divide both sides by 3}

              x = 105/3

               x = 35

The three integers are, 35 , 36 , 37

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2 years ago
Question 10 (5 points)
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Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
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Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

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The value of x from the derived equation above is 160. 

Thus, the number of machine to be made in order to minimize the cost should be 160. 
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