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2 years ago

Which of these sortition methods can be used to select a person for a certain task from among 24 candidates?

Mathematics

2 answers:

tankabanditka [31]2 years ago

8 0

Answer:

C. Roll a dice 1 time and flip a coin 2 times. Assign a sequence (for example 4-H-T) to each candidate

Step-by-step explanation:

All of these methods can be used. In methods A, B and D, there are more possible outcomes than candidates, so the process may need to be repeated—possibly several times—in order to choose a candidate.

For methods A and D, the dice need to be separately identifiable.

For option D, each candidate can have 3 different sequences assigned, as there are 72 possible outcomes (3 times 24). That way, one execution of the method will result in a chosen candidate.

Method C is the simplest, because there are exactly 24 outcomes

Vikentia [17]2 years ago

7 0

222 for 5 and go to the right

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The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be

insens350 [35]

All primes are odd, except two. Therefore the sum of the first million primes is one even number plus 999999 odd numbers. Since odd*odd = odd, the first million primes must be even + odd = odd.

An odd number obviously has an odd final digit, so the only option that can be firmly rules out is b (which is even).

3 0

2 years ago

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at

pishuonlain [190]

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi

Combining these terms:

(7.5 mph)(t) = 4 mi

4 mi

Solving for t: t = ---------------- = 0.53 hr

7.5 mph

5 0

1 year ago

Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a

ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let $x$ be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be $12.50x$ . From this information we can gather that the cost function for this factory is,

$C(x)=53\,900+12.50x.$

On the other hand, if we let $x$ be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

$R(x)=16.50x.$

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

$R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.$

The company has to sell 134 750 units to break even.

6 0

2 years ago

In a representative sample of 1000 adult Americans, only 460 could name at least one justice who is currently serving on the U.S

stellarik [79]

Answer:

P=2.326

Step-by-step explanation:

Raw Score (X):=1000

Population Mean (μ):=460

Standard Deviation (σ): =Sqrt(npq)

Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

Sqrt(npq)=sqrt(460X0.54)=15.7607

Z = (X - μ) / σ

Z = (1000 - 460) / 15.7607

Z = 34.26244

For p-value 0.01

P(x=0.01) = 2.32635

Hence, P=2.326 t 3 decimal places.

6 0

2 years ago

Consider the following equation. 3x4 − 8x3 + 6 = 0, [2, 3] (a) Explain how we know that the given equation must have a root in t

N76 [4]

Answer:

a) see your problem statement for the explanation

b) 2.54539334183

Step-by-step explanation:

(b) Many graphing calculators have a derivative function that lets you define the Newton's Method iterator as a function. That iterator is ...

x' = x - f(x)/f'(x)

where x' is the next "guess" and f'(x) is the derivative of f(x). In the attached, we use g(x) instead of x' for the iterated value.

Here, our f(x) is ...

f(x) = 3x^4 -8x^3 +6

An expression for f'(x) is

f'(x) = 12x^3 -24x^2

but we don't need to know that when we use the calculator's derivative function.

When we start with x=2.545 from the point displayed on the graph, the iteration function g(x) in the attached immediately shows the next decimal digits to be 393. Thus, after 1 iteration starting with 4 significant digits, we have a result good to the desired 6 significant digits: 2.545393. (The interactive nature of this calculator means we can copy additional digits from the iterated value to g(x) until the iterated value changes no more. We have shown that the iterator output is equal to the iterator input, but we get the same output for only 7 significant digits of input.)

___

<em>Alternate iterator function</em>

If we were calculating the iterated value by hand, we might want to write the iterator as a rational function in Horner form.

g(x) = x - (3x^4 -8x^3 +6)/(12x^3 -24x^2) = (9x^4 -16x^3 -6)/(12x^3 -24x^2)

g(x) = ((9x -16)x^3 -6)/((12x -24)x^2) . . . . iterator suitable for hand calculation

3 0

2 years ago