Which assignment for the events in the sample space will work?

Mathematics

1 answer:

MissTica3 years ago

6 0

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

You want to choose an assignment of numbers that makes the number of numbers that represent each color be the same.

Numbers 0–33 include 34 numbers. Numbers 0–99 include 100 numbers, so blue blocks are over-represented by scenario A.

Scenario B suffers the same problem as scenario A in that 0–3 includes 4 numbers and 0–9 includes 10 numbers.

Scenario D has the opposite problem: 1–31 is 31 numbers, but 32–63 is 32 numbers. Blue blocks are under-represented in this scenario.

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Scenario C has 3 of 9 numbers representing each color—just what you want.

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos