Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:
b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:
And that's the same value obtained with the diagram.
12h + 30w.....where h = hrs worked and w = wagons sold
so if an employee works 6 hrs and sells 3 wagons....then h = 6 and w = 3
12h + 30w
12(6) + 30(3) =
72 + 90 = $ 162 <==
Si En el sistema de referencia XOY (1 u = 1km) la trayectoria de una avioneta es rectilínea y pasa por
(3;−1)
B
(
3
;
−
1
)
. Halla la ecuación general de la trayectoria sabiendo que ésta hace un ángulo de inclinación de
37°
37
°
Answer:
Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
- Value of base = 1
- Value of hypotenuse = √2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
Simplify ,
