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2 years ago

Urgent help needed algebra 2

Mathematics

1 answer:

blsea [12.9K]2 years ago

3 0

The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.

<h3>What is a linear equation?</h3>

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

(x + 5) - ( 2x - 3) = 6

To solve;

(x + 5) - ( 2x - 3) = 6

Distribute the negative;

(x + 5) - 2x + 3 = 6

we need to get the like terms together;

x - 2x + 5+ 3 = 6

-x + 8 = 6

Subtract 8 from both sides, we get;

-x = -2

x = 2

Hence, the solution of the given equation is 2.

Learn more about linear equations;

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A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics

balandron [24]

Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c. Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

$Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}$

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

$UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }$

$UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }$

= 95.4 + 0.67082

= 96.07

$UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }$

$UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }$

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,

The Process is in control

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3 years ago

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ZanzabumX [31]

Answer:

30% probability that it will be yellow, or green

Step-by-step explanation:

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Each ball is chosen with the following probabilities:

1/10 = 10% probability it is red

2/5 = 40% probability it is white

1/5 = 20% probability it is blue.

p probability it is yellow or green

What is the probability that it will be yellow, or green

The sum of all probabilities is 100%. So

10 + 40 + 20 + p = 100

p = 30

30% probability that it will be yellow, or green

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Answer:

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