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Andreas93 [3]
3 years ago
12

Solve the equation. Enter the answer as an equation showing the value of the

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

y=1

Step-by-step explanation:

divide both sides by 9

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4 friends evenly dividing up a n - slice pizza

So each one get \frac{n}{4} slices of pizza.

 For example, if n = 12 slice then each friend gets 12/4 = 3 pieces.  If Harris ate one slice less then he ate  \frac{12}{4}-1=3 -1 =  2 pieces.

So the general expression for slices of pizza did Harris eat is

\frac{n}{4}-1


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4 years ago
A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), where s
Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we  should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

         =E(a-x), for a<x<A

Using integral we find this value

E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}

f(a)=\frac{a^2}{2} +\frac{(A-a)^2}{2} \\f'(a) = a-(A-a)\\f"(a) =2

Using calculus we find that f" is positive so when f' =0 we get solution

f'(a) =0 gives

a=\frac{A}{2}

Hence fire station to be located at the mid point of 0 and A

8 0
4 years ago
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