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damaskus [11]
3 years ago
9

Solve for n: 1-5|n-9|=-74 I need answer by 12:10, please help!!!

Mathematics
2 answers:
rusak2 [61]3 years ago
5 0

Answer:

n=-6, 24

Step-by-step explanation:

We are given:

1-5|n-9|=-74

Subtract 1 from both sides:

-5|n-9|=-75

Divide both sides by -5:

|n-9|=15

By definition of absolute value:

(n-9)=15\text{ or } -(n-9)=15

Solve for each case:

n=24\text{ or } n=-15+9=-6

Therefore, our two solutions are:

n=-6, 24

Dovator [93]3 years ago
4 0
The answer is -6, 24
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Answer:

x =  - 4 \\ x =  - 7

Step-by-step explanation:

x {}^{2}  + 28 =  - 11x \\ x {}^{2}  + 11x + 28 = 0 \\ x {}^{2}  + 7x + 4x + 28 = 0 \\ x(x + 7) + 4(x + 7) = 0 \\ (x + 4)(x + 7) = 0 \\  \\ x =  - 4 \:  \:  \:  \:  \:  \:   \\ \: x =  - 7

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3 years ago
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The area of a rectangle is 4w - 10 square units.
podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

<em><u>Solution:</u></em>

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

<em><u>The area of rectangle is given as:</u></em>

Area\ of\ rectangle = length \times width

Area\ of\ rectangle = 2 \times (2w - 5)

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

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3 years ago
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Which one do you need?
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2 years ago
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

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Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

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