Answer:
a)
b)
Step-by-step explanation:
From the question we are told that:
Number Teachers 
Number Student 
Number in committee 
a) Generally the equation for exactly 3 students on the committee is mathematically given by



b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways


Therefore



Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
<h2>Common ratio = -1/2</h2>
Step-by-step explanation:
term of a Geometric progression is given as
. The first term is given as
.
Any general Geometric progression can be represented using the series
.
The first term in such a GP is given by
, common ratio by
, and the
term is given by
.
In the given GP, 
∴ Common ratio is
.
Answer:
(B)1005 feet
Step-by-step explanation:
In the attached diagram

|AG|=1400 feet
Distance from point C to point G=|CG|
Using Trigonometry in Triangle ACG

Using Trigonometry in Triangle BCG'

Therefore, the distance from balloon B from balloon A
=CG+CG'
=808+197
=1005 feet