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user100 [1]
2 years ago
8

(c) Find the number of sets where all three cards are the same for exactly $0$ attributes. (d) Find the number of sets where all

three cards are the same for exactly $1$ attribute.
Mathematics
1 answer:
Cloud [144]2 years ago
5 0

C. For the first card, there are three ways to choose the number of card.

For the another, there two options, and likewise there's only 1 choice of card. So there are 3 × 2 × 1 = 6 ways that the calculation can be chosen.

Doing this for the other attributes, we get 6 × 6 × 24 × 6 ways. But the order of cards does not count in a set of card, so we divide by 3! 6 * 6 * 24 × 6 ÷ 3! = 864. It means there are 864 sets for part.

D. The cards may have the same number, color, shapess, orshading.

However, also there are 6 × 24 × 6 × 3! = 144 sets of cards, If all the colors are thesame. How ever, also there are 144 sets of cards.

If all the calculation are the same. We get the same number for shape and shadings, so there are 4 × 144 = 576 sets of cards.

what is Probability?

Probability is branches of mathematics concerning numerical descriptions of how to the likely an event is to occurs, or how to the likely it is that a proposition is true. The probability of an event is a numbers between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the events and 1 indicates certain of cards.

Learn more about Probability here

brainly.com/question/13604758

#SPJ10

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Answer:

a) The slope of the function is 3.

c) The equation is represented by n(t) = 3\cdot t + 35.

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

n(t) = m\cdot t + n_{o} (1)

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m - Slope, measured in number of pieces per minute.

t - Time, measured in minutes.

n_{o} - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

n - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that n(15\,min) = 80\,p and n(45\,min) = 170\,p, then the following system of linear equations is formed:

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The solution of the system of equations is:

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