2 years ago

Which equation represents a proportional relationship between x and y values

1 answer:

4 0

Remember this! The equation that represents a proportional relationship, or a line, is y=kx, where k is the constant of proportionality.

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The ratio of peanuts to total nuts in a bag of mixed nuts is 3 : 7. If the bag has 56 total nuts, how many are peanuts?

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Answer:

24 peanuts

Step-by-step explanation:

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If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of

seropon [69]

Answer:

0.347

Step-by-step explanation:

n = 3

p = 1/6

r = 1

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₁ (1/6)¹ (5/6)³⁻¹

P = 0.347

Or, using a calculator:

P = binompdf(n, p, r)

P = binompdf(3, 1/6, 1)

P = 0.347

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3 years ago

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Anettt [7]

Answer:

Step-by-step explanation:

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2 years ago

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

Answer-

The probability of winning on the first roll is 0.22

Solution-

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

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3 years ago