The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
To find the inverse of a function:
Interchange the f(x) and x
f(x) → x
x → f⁻¹(x)
Make the subject f(x);
Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.
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75x + 90(15-x)=88(15)
75x+1350-90x = 1320
-15x + 1350 = 1320
-15x= -30
x=2
the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons
Hope this helps.
Answer:
Step-by-step explanation:
Decrease = 100 - 49 = 51
Percentage of decrease =
= 51%
Dy/dx=1/2, 1/2, 1/2 etc
So this is a linear equation of the form y=mx+b where m=dy/dx=1/2 so
y=x/2 +b, now we can use any point to solve for the y-intercept, "b", I'll use (7,0)
0=7/2 +b
b=-7/2 so
y=x/2-7/2
y=(x-7)/2
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.
<h3>What is the Central limit theorem?</h3>
- The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
- Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.
Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.
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