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Sergio039 [100]
3 years ago
11

You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336

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I really need help on rate changes!!
mrs_skeptik [129]

Answer: The third and fourth problem are linear

Step-by-step explanation:

3rd problem follows a pattern

X  6  5   4  3

Y 21 15 10 6

6x3+3=21

5x3=15

4x2+2=10

3x2=6

Problem 4 follows a pattern as well

X value goes up 1, Y value goes up 4

4 0
3 years ago
Is 7 a foctor of 93?<br>Explain your answer using words.​
Sveta_85 [38]

No, because 93/7 is not a rational number

I would really really appreciate it if you marked me as brainiest ☆〜(ゝ。∂)

4 0
3 years ago
Do you use the greatest common factor or the least common multiple to add two fractions? In this example what is it? 4/5+5/6 lea
Alenkinab [10]

Answer:

30 is the least common factor or lcm

Step-by-step explanation:

when adding fractions you always have to find the lcm

8 0
3 years ago
It costs $11.18 to buy 13 cans of cranberry sauce. If the cans all cost the same amount, what is the price of each can?
AnnyKZ [126]

Answer:

Each can costs $0.86

Step-by-step explanation:

We find the unit price by dividing the cost by the number of cans.

11.18/13 = 0.86

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8 0
2 years ago
Read 2 more answers
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservation
miss Akunina [59]

Answer:

a) 0.109375 = 0.109 to 3 d.p

b) 1.00 to 3 d.p

Step-by-step explanation:

Probability of someone that made a reservation not showing up = 50% = 0.5

Probability of someone that made a reservation showing up = 1 - 0.5 = 0.5

a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

For this to happen, 5 or 6 people have to show up since the limousine can accommodate a maximum of 4 people

Let P(X=x) represent x people showing up

probability that at least one individual with a reservation cannot be accommodated on the trip = P(X = 5) + P(X = 6)

P(X = x) can be evaluated using binomial distribution formula

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 6

x = Number of successes required = 5 or 6

p = probability of success = 0.5

q = probability of failure = 0.5

P(X = 5) = ⁶C₅ (0.5)⁵ (0.5)⁶⁻⁵ = 6(0.5)⁶ = 0.09375

P(X = 6) = ⁶C₆ (0.5)⁶ (0.5)⁶⁻⁶ = 1(0.5)⁶ = 0.015625

P(X=5) + P(X=6) = 0.09375 + 0.015625 = 0.109375

b) If six reservations are made, what is the expected number of available places when the limousine departs?

Probability of one person not showing up after reservation of a seat = 0.5

Expected number of people that do not show up = E(X) = Σ xᵢpᵢ

where xᵢ = each independent person,

pᵢ = probability of each independent person not showing up.

E(X) = 6(1×0.5) = 3

If 3 people do not show up, it means 3 people show up and the number of unoccupied seats in a 4-seater limousine = 4 - 3 = 1

So, expected number of unoccupied seats = 1

5 0
3 years ago
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