Answer:
The answer is
<h2>
![{f}^{ - 1} (x) = \frac{x +3 }{25}](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B3%20%7D%7B25%7D%20)
</h2>
Step-by-step explanation:
![f(x) = 25x - 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%2025x%20-%203)
To find the inverse of f(x) , equate f(x) to y
That's
y = f(x)
We have
![y = 25x - 3](https://tex.z-dn.net/?f=y%20%3D%2025x%20-%203)
Next interchange the terms that's x becomes y and y becomes x
![x = 25y - 3](https://tex.z-dn.net/?f=x%20%3D%2025y%20-%203)
<u>Next solve for y</u>
Move 3 to the other side of the equation
That's
![25y = x + 3](https://tex.z-dn.net/?f=25y%20%3D%20x%20%2B%20%203)
<u>Divide both sides by 25</u>
![\frac{25y}{25} = \frac{x + 3}{25}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25y%7D%7B25%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B25%7D%20)
We have the final answer as
![{f}^{ - 1} (x) = \frac{x +3 }{25}](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B3%20%7D%7B25%7D%20)
Hope this helps you
Answer:
I'm working during the same thing
The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>
<h3>What is the probability?</h3>
Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
No of failure,n = 7
No of trials,x≥6
A binomial probability is represented as;
![\rm P(x) = nC_x p^z(1-p)^{n-r}](https://tex.z-dn.net/?f=%5Crm%20P%28x%29%20%3D%20nC_x%20p%5Ez%281-p%29%5E%7Bn-r%7D)
Substitute the given data;
![P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}](https://tex.z-dn.net/?f=P%28x%20%5Cgeq%206%29%20%3D%207C_6%20%5Ctimes%209%5E6%20%5Ctimes%2091-9%29%5E%7B7-6%7D%20%2B7C_7%20%289%29%5E7%2B%281-9%29%5E%7B%287-7%29%7D)
![\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%](https://tex.z-dn.net/?f=%5Crm%20P%28x%20%5Cgeq%206%29%20%20%3D%200.000000343311%20%5C%5C%5C%5C%20P%28x%20%5Cgeq6%29%3D0.000343311%20%5C%25)
Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>
To learn more about probability, refer to the link: brainly.com/question/795909.
#SPJ1
175000 / 100 = 1750 this step finds 1% of 175000
1750 x 4.5 = 7875 this step finds 4.5% of 175000
Commission for first house $7875
199000 / 100 = 1990 this step finds 1% of 199000
1990 x 4.5 = 8955 this step finds 4.5% of 199000
Commission for second house $8955
$7875 + $8955 = $16,830
Kensho's commission for this quarter is $16,830
Answer:
6.15
Step-by-step explanation:
10 gallons is 80/8
1 5/8= 13/8
80 divided by 13 is 6.15384615385 but rounded 6.15
6.15 hours
if its not that then keep rounding to 6.2 or 6hrs