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zmey [24]
2 years ago
13

What is the constant of proportionality in this table?

Mathematics
2 answers:
QveST [7]2 years ago
8 0
Bbjsushdhdhdhdhehdhdhdisjs
Andreyy892 years ago
6 0

Answer:

k = 10

Step-by-step explanation:

X progresses by 25, while y progresses by 250.

So divide 250 ÷ 15 and your answer is 10.

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Consider rolling two fair dice one 3-sided the other 5-sided
Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

1\leq x\leq 3,\quad 1\leq y \leq 5

We have P(X=x)=\frac{1}{3} and P(Y=y)=\frac{1}{5}, because the dice are fair.

Now we use the assumption of independence to claim that

P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

  • 2 in a unique way (1+1)
  • 3 in two possible ways (1+2, 2+1)
  • 4 in three possible ways
  • 5 in three possible ways
  • 6 in three possible ways
  • 7 in two possible ways
  • 8 in a unique way

This implies that the probabilities of the outcomes of W=X+Y are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0
2 years ago
A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck
saveliy_v [14]

Answer:

The answer is "\frac{1}{47}".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}

Thus, \frac{1}{47} here is the necessary chance.

7 0
2 years ago
When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top wit
spin [16.1K]

Answer:

D

Step-by-step explanation:

hmu for an explanation

4 0
2 years ago
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Which two points of concurrency can you locate by only drawing perpendicular​ segments? Select all that apply.
Tresset [83]
I am going to say it’s C

Hope it helps!

7 0
3 years ago
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How do you find x???
sergij07 [2.7K]
The first thing you want to do is isolate the (x)s.
6 0
3 years ago
Read 2 more answers
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