Set up a system of equations:
s = 2d - 5
s + d = 43
Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.
Plug in 2d - 5 for 's' in the 2nd equation:
s + d = 43
2d - 5 + d = 43
Combine like terms:
3d - 5 = 43
Add 5 to both sides:
3d = 48
Divide 3 to both sides:
d = 16
Plug this back into any of the two equations to find 's':
s + d = 43
s + 16 = 43
Subtract 16 to both sides:
s = 27
So Dunk scored 16 points and Stilt scored 27 points.
<span>The "unit price" tells gives the cost per pound, quart, or other unit of a food package. If you compare the cost of the same unit of the same food you can save money. </span><span>
Different kinds of discounts will affect differently the total unit price of each size.</span>
Answer:
What is your favourite movie?
Step-by-step explanation:
The other questions are not general and would not give a useful result. We would learn a much more accurate result from the first question.
Answer: Fourth Option AB=AD
Solution:
The SAS (Side Angle Side) Postulate indicates that two triangles are congruent if they have two congruent sides and congruent the angle between these sides.
According with the figure, the triangles ABC and ACD have a congruent side (S) AC, because is a common side between the two triangles.
Additionally they have a congruent angle (A): the angle BAC in triangle ABC is congruent with the angle DAC in triangle ACD (indicated in the figure).
Then we have one congruent side (S) and one congruent angle (A). We need another congruent side to complete the SAS postulate:
The side (S) AB in triangle ABC must be congruent with the side AD in triangle ACD
Answer: Fourth option AB=AD
Answer:
a) ![P(X>2)= 1-P(X \leq 2) = 1-[P(X=0)+P(X=1)+P(X=2)]](https://tex.z-dn.net/?f=%20P%28X%3E2%29%3D%201-P%28X%20%5Cleq%202%29%20%3D%201-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%5D)
And we can find the individual probabilities like this:
And replacing we got:
![P(X>2)= 1-P(X \leq 2) = 1-[0.4493+0.3595+0.1438]=0.0474](https://tex.z-dn.net/?f=%20P%28X%3E2%29%3D%201-P%28X%20%5Cleq%202%29%20%3D%201-%5B0.4493%2B0.3595%2B0.1438%5D%3D0.0474%20)
b)
Step-by-step explanation:
Let X the random variable that represent the number of hurricanes hitting the coast of Florida annualle. We know that 
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter 
Part a
For this case we want this probability: 
And for this case we can use the complement rule like this:
And we can find the individual probabilities like this:
And replacing we got:
Part b
Using the probability mass function we have:
