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2 years ago

12

Two bookstores are having a sale on comic books. Main Street Books has a deal of 10 for $5.20 and Books Galore has a deal of 6 f

or $3.60. Which store is offering the lowest unit price?

1 answer:

gizmo_the_mogwai [7]2 years ago

5 0

Answer:

Books Galore has the lowest unit price

Step-by-step explanation:

if you divide main streets books, 10 ÷ $5.20 = $1.92

Books galore : 6 ÷ $3.60 = $ 1.66

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On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let <em>X</em> denote delivery time of the mail delivered by Alice and <em>Y</em> denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, <em>p</em> = 1/4.

The probability that Bob delivers the mail is, <em>q</em> = 3/4.

The probability density function of a Uniform distribution with parameters [<em>a</em>, <em>b</em>] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

5 0

3 years ago

Which points are on the graph of g(x) = (1/5)^x

11111nata11111 [884]

Answer:

A) The point( -1 , 5) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

B) The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

Put the point ( -1 , 5)

Put y =5 and x =-1

$5 = (\frac{1}{5} )^{-1} = 5$

The point( -1 , 5) is satisfies the given graph

ii)

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

$\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}$

The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

7 0

2 years ago

What is the volume of the prism that can be constructed from this net?<br><br><br> units3

kirza4 [7]

3×9=27
27×7=189 units³

I hope this helped!!!:)

4 0

2 years ago

Read 2 more answers

Which of the following represents the factorization of trinomal below

My name is Ann [436]

A is the correct answer.......

Here is the work shown:

x^2-x-20

A is the correct answer because when using the distributive property it is the only example that results in x^2-x-20.

(x+4)(x-5)

x*x=x^2, x*-5=-5x, 4*x=4x, 4*-5=-20. Now combine all alike terms for your final answer. x^2-x-20..

please vote my answer brainliest. thanks!

5 0

2 years ago

Kelton made punch for a school dance. He used 2 gallons of apple juice and 3 bottles of ginger ale to make enough to fill two pu

irina1246 [14]

Answer:

10 gallons of juice

Step-by-step explanation:

8 0

3 years ago