Answer:
Step-by-step explanation:
Given function f(x) = 3x + 2
The inverse of f(x) is f⁻¹(x)
Follow the steps below to solve for f⁻¹(x).
1. Replace function f(x) with function y in the given equation
y = 3x + 2
2. Interchange the variables
x = 3y - 2
3. Solve for y
3y = x + 2
4. Replace y with f⁻¹(x)
7 is the whole number so leave it as is
75/100
Divide by 25
3/4
7 3/4 is in the lowest form
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
The margin of error for this interval is:
The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r =
r = 16 units
Step-by-step explanation:
Earth = 1trip
Mars = ½trip
If,
Mars = 1trip
Earth = ?
If more, less divides,