Answer: The probability that a gene is of type A is 0.29.
Step-by-step explanation:
Let A be the event of type A.
Let B be the event of type B.
Let D be the event of dominant.
So, P(B and D) = 0.22
P(D|B)=0.31
So, Using the conditional probability, we get that

So, the probability that a gene is of type A is given by

Hence, the probability that a gene is of type A is 0.29.
Answer:
The value of x is, 
Explanation:
Given: 
Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.
If 
Now, using distributive property on left hand side of the given expression as:
or 
Addition Property of equality state that we add the same number from both sides of an equation.
Add r to both sides of an equation:

Simplify:

Subtraction Property of equality state that we subtract the same number from both sides of an equation.
Subtract Nx from both sides of an equation;

Simplify:
or

Division Property of equality states that we divide the same number from both sides of an equation.
Divide by (34-N) to both sides of an equation;

On Simplify:

Answer:
A) 66 inches
B) 3.5 inches
C) 38 inches
D) 3 inches
Step-by-step explanation:
A)
If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:
y = 3.5 * 36 - 60 = 66 inches
B)
As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.
C)
We just need to use y = 73 and then find x:
73 = 3.5x - 60
3.5x = 133
x = 38 inches
D)
If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:
dx = dy/3.5 = 10.5/3.5 = 3 inches
Answer: The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.