Answer:
Option B multiply t with 1.1
Step-by-step explanation:
Let
t------> the ticket price for the circus last year
x-----> the ticket price for the circus this year
we know that
so
therefore
The ticket price for the circus this year is equal to the ticket price for the circus last year multiplied by 1.10
By giving just the radius and asking for the arc length of that circle your answer will be without math is 22
π
feet
But;
Let’s do same math!
Arc length = (()/360)⋅2⋅⋅
(
(
a
n
g
l
e
o
f
a
r
c
)
/
360
)
⋅
2
⋅
π
⋅
r
In this case angle of arc was not specified so: 360∘
∘
was used.
Arc length = ((360)/360)⋅2⋅⋅11
(
(
360
)
/
360
)
⋅
2
⋅
π
⋅
11
Arc length = 22
π
feet
summation from k equals 1 to 5 cosine k pi
= Cosine 1*∏ + Cosine 2*∏ + Cosine 3*∏ + Cosine 4*∏ + Cosine 5*∏
= -1 + 1 + -1 + 1 + -1
= -1
The percentage change from $15.60 to $11.70 is computed as follows:
Let
denote the event that an HD is defective, and
the event that a particular HD was produced at facility
.
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
.
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)
