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m_a_m_a [10]
3 years ago
11

Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than times the number of cards

Bill has. Calvin has 1 more than times the number of cards Bill has.
If Alan and Calvin have the same number of cards, the number of cards Bill has is
. The number of cards Alan and Calvin each have is
.

If Alan, Bill, and Calvin have all the cards in the deck, then the deck has
cards.
Mathematics
1 answer:
Mama L [17]3 years ago
8 0
<span> a=2.5b-11, c=1.5b+1, and a=c so

2.5b-11=1.5b+1

b=12 so a=19 and c=19

so a+b+c=50 </span>
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3 years ago
What are the solutions to 3n-1 &gt; 8 or 4n+ 3 ​
Mandarinka [93]

Answer:

n>3

Step-by-step explanation:

Step 1: Add 1 to both sides.

3n−1+1>8+1

3n>9

Step 2: Divide both sides by 3.

3n/3>9/3

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3 0
3 years ago
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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
M divided by 6 = 21 so what does m equal
loris [4]

Answer:

Step-by-step explanation:

M equals 3.5

6 0
3 years ago
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Answer:

a) 64 b) 12

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6 0
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