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frosja888 [35]
3 years ago
6

PLEASEE HELP FIRST ONE IS QUESTION THE REST ARE ANSWERS

Mathematics
2 answers:
nexus9112 [7]3 years ago
7 0
The answer should be A.not entirely sure though

Hope this helps
Reika [66]3 years ago
7 0
The correct answer is 2x^5y^8 and 12 xy^7
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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
X+7y=24 and x-9y=-24 doing elimination
nirvana33 [79]
The easy thing to do is eliminate x by subtraction 
 
   x + 7y = 24
- x - 9y = -24
-------------------
      16y = 48

now solve for y and then substitute the value into either original equation to find x
5 0
3 years ago
Write the word sentence as an equation. Then solve.
nekit [7.7K]

Answer:

Equation- p-6= -14

Answer- p=-8

Step-by-step explanation:

8 0
3 years ago
A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
Natasha_Volkova [10]
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
5 0
3 years ago
Read 2 more answers
How much longer is a 1inch button than a 3/8 inch button
neonofarm [45]
5/8 inches longer since 8/8 - 3/8 = 5/8
4 0
3 years ago
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