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Andrei [34K]
3 years ago
14

I don’t understand inverses and I need step by step for each one. Please help me

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

First you have to replace each F(x) or functions like that with y. Then you swap the x (in some of your functions n) with the y. Step number three is to solve for y.

10. y=2x^5 -1

x = 2y^5 - 1

x + 1 = 2y^5

(x + 1) / 2 = y^5

[ ( x + 1 ) / 2 ] ^1/5 = y or all of the answer in brackets underneath a with the number 5

You then replace the y that is all by itself with the f^-1(x) or n

11. y = ( -5n + 20 ) / 2

12. y = - (x/2)^1/3 do the same thing as before and put it under a radical with the number three with the negative on the outside

13. y = -3n + 4

14. y = x^3 - 1

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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52.
Roman55 [17]

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* <em>Lets revise the empirical rule</em>

- The Empirical Rule states that almost all data lies within 3  standard

  deviations of the mean for a normal distribution.  

- 68% of the data falls within one standard deviation.  

- 95% of the data lies within two standard deviations.  

- 99.7% of the data lies Within three standard deviations  

* <em>The empirical rule shows that</em>

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* <em>Lets solve the problem</em>

- The shoe sizes of American women have a bell-shaped distribution

  with a mean of 8.42 and a standard deviation of 1.52

∴ μ = 8.42

- The standard deviation is 1.52

∴ σ = 1.52

- <u><em>One standard deviation (µ ± σ):</em></u>

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- <u><em>Two standard deviations (µ ± 2σ):</em></u>

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- <u><em>Three standard deviations (µ ± 3σ):  </em></u>

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- <em>We need to find the percent of American women have shoe sizes </em>

<em>   that are greater than 9.94</em>

∵ The empirical rule shows that 68% of the distribution lies  

  within one standard deviation in this case, from 6.9 to 9.94

∵ We need the percentage of greater than 9.94

- <em>That means we need the area under the cure which represents more</em>

<em>   than one standard deviation (more than 68%)</em>

∵ The total area of the curve is 100% and the area within one standard

  deviation is 68%

∴ The area greater than one standard deviation = (100 - 68)/2 = 16

∴ The percentage of the women have size shoes that are greater

   than 9.94 is 16%

8 0
3 years ago
Hey, can someone help me with this one thank you!
jek_recluse [69]
30 mi per h, means 30 mi/1h.
 So mi should be on y-axis and hours on x -axis.
The point should have 1 h (on x -axis) and 30 mi (on y-axis).
The only graph that has this point is G.


7 0
3 years ago
What is the remainder when 16,055 is divided by 16? (Input numeric values only)
Rudik [331]

Answer:56

Step-by-step explanation:

with 16 into 55 do that math then put the number you got then put it into another 16 boom 56

7 0
3 years ago
Which side in the figure on the right corresponds to the segment WU and what it the scale factor?​
goblinko [34]

Answer:

WU corresponds with CD and the scale factor is 3

5 0
3 years ago
How many solutions does the following equation have?
Alexandra [31]
3(x + 5) = -4x + 8
3x + 15 = -4x + 8
3x + 4x = 8 - 15
7x = - 7
x = -7/7
x = -1

this equation has exactly 1 solution
6 0
3 years ago
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