Part a
1 answer:
The probability that Jake will earn at least 30 points on a throw is 0.335
<h3>How to describe the process?</h3>The attached image represents the missing part of the question.
From the attached image, we can see that:
For Jake to earn at least point, he must hit the three circles (starting from the inner circle)
The radius of the yellow circle is:
Radius = 3
While the width of the other circles is:
Width = 4
The total area of the sections that give a point of at least 30 is:
A₁ = π * (3 + 4 + 4)² = 121π
The total area of all the sections is:
A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π
The probability of getting at least 30 points is:
P(At least 30) = 121π/361π
Evaluate
P(At least 30) = 0.335
Hence, the probability that Jake will earn at least 30 points on a throw is 0.335
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Given:
Charges for rental card = $10
Charges for movie = $2 per movie
To find:
The linear equation for given situation and find the cost to rent 6 movies.
Solution:
Let y be the total cost for x number of movies.
Cost of one movie = $2
Cost of x movies = $2x
Total cost = Charges for rental card + Charges for x movies
Put x=6 to find the cost of 6 movies.
Therefore, the total cost for a new customer to rent 6 movies is $22.
Answer:
(f-g)(144)=0 is the answer which is option C
Step-by-step explanation:
Given:
f(x) = + 12
g(x)=
To find:
(f-g)(144) = ?
Solution:
In the System of functions there Is proved that two functions can be subtracted like simply two numbers
which means that
(f-g)(x) simple means that subtraction of two functions and it could also be written as
(f-g)(x) = f(x)- g(x)
this is proved mathematically
Now in our problem
we have to find the value of
(f-g)(144)
which is equal to
(f-g)(144) = f(144)-g(144)
Now
f(x)= + 12
And
f(144) = + 12
f(144)=12+12
f(144) = 24
Now
g(x)= And
g(144) =
g(144)=2*12
g(144)= 24
Now putting these values in
(f-g)(144) = f(144)-g(144)
= 24 -24
(f-g)(144)=0