Answer:
1/3x - 3
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y =3x+9
Exchange x and y
x = 3y+9
Then solve for y
Subtract 9 from each side
x-9 =3y+9-9
x-9 = 3y
Divide by 3
1/3(x-9) = 3y/3
1/3(x-9) = y
Distribute
1/3x-3 = y
The inverse is 1/3 x -3
Your answer would be: 1
Happy holidays and hope this helps!
Answer:
0.01596
Step-by-step explanation:
A scientist claims that 8% of the viruses are airborne
Given that:
The population proportion p = 8%
The sample size = 477
We can calculate the standard deviation of the population proportion by using the formula:




The required probability can be calculated as:


= P(Z < -2.41) + P(Z > 2.41)
= P(Z < -2.41) + P(Z < -2.41)
= 2P( Z< - 2.41)
From the Z-tables;
= 2 ( 0.00798
= 0.01596
Thus, the required probability = 0.01596
Answer:
D : {x ∈ R : x≠1}
Step-by-step explanation:
The domain is what values of x can we put into the function and it still works
We cannot have the denominator equal zero
x-1 ≠0
Add 1 to each side
x-1+1 ≠0+1
x≠1
The domain is all real values of x except x=1
D : {x ∈ R : x≠1}
Your profit is less than the cost of production. Thus, you actually lost 14 dollars. Your profits = -14