Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (3,2)
Equation form:
x = 3
y = 2
This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1.
Given
2.
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3.
Given
4.
Reflexive property
5.
SAS postulate
6.
Corresponding parts of congruent triangles are congruent
7.
Inverse alternate interior angles theorem
Answer:
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which agrees with the answer D of your options
Step-by-step explanation:
Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:
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Answer:
The function f(x) is represented by:
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Hence, a=1500 and b=0.97
Step-by-step explanation:
The patient currently has a bone density of 1,500 kg/mg^3.
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.
This means that the bone density that is remaining is:
100-3=97%
which is also represented as: 97%=97/100=0.97
Hence, the function f(x) that represents the bone density after x years is represented by:

where a is the initial bone density which is given to be: 1500 kg/mg^3.
Hence, the function is:
