Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
Answer:
a) 
b) 
c) 
Step-by-step explanation:
For this case we have a total of 1254 people. 672 are women and 582 are female.
We know that 124 women wnat on to graduate school.
And 198 male want on to graduate school
We can define the following events:
F = The alumnus selected is female
M= The alumnus selected is male
A= Female and attend graduate school
And we can find the probabilities required using the empirical definition of probability like this:
Part a

Part b

Part c
For this case we find the probability for the event A: The student selected is female and did attend graduate school

And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:

Let point P be with coordinates
Find the equation of the tangent line.
1. If
then 
2. The equation of the tangent line at point P is

Find x-intercept and y-intercept of this line:
- when x=0, then

- when y=0, then

The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

Since point P is on the parabola, then
and

Find the derivative A':

Equate this derivative to 0, then

And

Answer: two points: 
Answer:
cars=186 lorries=62
Step-by-step explanation:
total vehicles=268
cars=3 x lorries
motorcycle=20
lories=?
number of cars and lorries=268-20/4
=62
cars=62 x 3 = 186
lorries=62
hope this helps u =)