Answer:
x = 5.2
Step-by-step explanation:

Let's first simplify our first function:

Now, we just need to set this function equal to our other given function.

Now, we can add 12 to both sides:

Now, add 5x to both sides:

Finally, we'll divide both sides by 5:

Answer: x = 5.2
Step-by-step explanation:
y = kx, where k is a real constant.
When y = 12, x = 5.
=> (12) = (5)k, k = 2.4.
Therefore when y = 30,
x = y/k = (30)/(2.4) = 12.5.
The answer is 12.5.
Answer:
38%
Step-by-step explanation:
The additional wage compared 12 years of education to 16 years of education is:

Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = 
Since, scale factor = 
For Steffie,
Actual length of the crate = 
= 
= 45 inches
Actual width of the crate = 
= 36 inches
Since Brian used the scale factor = 
Length of the drawing = Actual length × Scale factor
= 45 × 
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × 
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375