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Answer:
31.25×
Step-by-step explanation:
suppose that the value of x was 3 . that would mean that they bought 3 calculators .
if one calculator is $31.25 then 3 would be $31.25× 3
the same rule would apply for x
The inverse of this function would be f(x) = 
.
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = 
- 6 ----> Switch f(x) and x
x = 
- 6 ----> Add 6 to both sides
x + 6 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.
Answer:
1
Step-by-step explanation:
When turning remainders into mixed numbers remember Place the remainder as the numerator, or the top number, in your fraction. Put the divisor on the bottom of the fraction, or the denominator.
Proceed to check your work :)
hope this helps
Answer:
Step-by-step explanation:
Hello!
The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.
You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:
P(X≤x₀)= 0.20
To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:
P(Z≤z₀)=0.20
z₀= -0.842
z₀= (x₀-μ)/σ
z₀*σ= (x₀-μ)
x₀= (z₀*σ)+μ
x₀= (-0.842*1.5)+65
x₀= 63.737 inches
I hope it helps!
