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Aloiza [94]
3 years ago
14

The geometric mean of x+3 and 4x+1 is 2x+1. Find all possible values of x.

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

x =   - \frac{2}{9}

Step-by-step explanation:

Since, the geometric mean of x+3 and 4x+1 is 2x+1.

Therefore, by geometric mean theorem:

{(2x + 1)}^{2}  = (x + 3)(4x + 1) \\  \\  \cancel{4 {x}^{2}}  + 4x + 1 = \cancel{4 {x}^{2}}  + x + 12x + 3 \\  \\ 4x + 1 = 13x + 3 \\  \\ 4x - 13x = 3 - 1 \\  \\  - 9x = 2 \\  \\ x =   - \frac{2}{9}

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Rainbow [258]

Answer:

P(25

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P(0

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

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z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

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And we can find this probability with this difference:

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3 years ago
What context can be represented with the numbers 4 and -14?
DanielleElmas [232]
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3 years ago
Dana randomly selected ten different brands of soda and recorded the number of calories in a 12 ounce serving size. They were as
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What is the product of 2X plus 3 and 4X squared minus 5X plus 6
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Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

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Then you group like terms.

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8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


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