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AURORKA [14]
3 years ago
13

2. Solve for x? 3x + 4 = 2x + 10

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

3x-2x=10-4

x=6........

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Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the equivalent to -2(4-3x)+(5x-2)

Using the associative property,

-2(4-3x) = -2(4)+2(3x)

= -8+6x

So,

-2(4-3x)+(5x-2) = -8+6x +5x-2

taking like terms together,

-2(4-3x)+(5x-2) = 6x+5x-8-2

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The equivalent expression is equal to (11x-10).

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3 years ago
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott
Andreyy89

Answer:

(15.8495,16.2505)  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16.05 ounces

Standard Deviation, σ = 0.2005 ounces

We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.

Empirical rule:

  • It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
  1. It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Confidence interval:

\mu \pm 2\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

16.05 \pm 2(\frac{0.2005}{\sqrt{4}} ) = 16.05 \pm 0.2005 = (15.8495,16.2505)

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division is subtraction when dealing with logs

log₃ \frac{d}{12} = log₃ (d) - log₃ (12)

Answer: A


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3 years ago
How do you decide whether a number is a solution of an inequality
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Answer:

  • We can solve inequalities to find all values of the variable that make the inequality true. The idea is to get the variable all by itself on one side of the inequality sign so we can easily see the solutions to the inequality.
  • Hence for any given inequality and for any given number if we put that number in that inequality and see that the given inequality sign holds true than that number will be a solution of the inequality otherwise it is not an solution of the inequality.


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4 years ago
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