Answer:
2.9 miles
Step-by-step explanation:
If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

check out the document below (sorry, it's a little bit blurry)
Answer:
T = 75 + 116.9*N
Step-by-step explanation:
We have that the equation for Michael's savings is:
A = 75 + 50.85*N, where N is the number of weeks
And we have that the equation for his wife's savings is:
B = 65.95*N.
So, to find the total amount saved using both plans combined (T), we have to sum A and B:
T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N
So the equation that relates T to N is:
T = 75 + 116.9*N
As you see in the picture, there are two lines that could maybe represent two linear functions. However, this is not true because of the solid point and the hollow point. This is an inequality equation that has points of discontinuity.
Points of discontinuity are breaks in the graph that are a result of an undefined point when the f(x) is substituted with a point of x that is not part of the solution. So, technically, the graph is made from one rational expression.
So, when it says f(-2), this is the y-value at x=-2. That means f(-2)=2, f(0)=3 and f(4)=-1. Specifically, there are two points at x=0, but we take the solid point only.
Answer:
90.7 > 9.008
Step-by-step explanation:
Answer:
The probability that at least one of the children get the disease from their mother is 0.7125.
Step-by-step explanation:
We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.
Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.
Let Probability that children get the disease from their mother = P(A) = 0.34
SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)
where A' = event that children do not get the disease from mother.
So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66
Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother
= 1 - P(X = 0)
= 1 - (0.66
0.66
0.66)
= 1 - 0.2875 = <u>0.7125</u>