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skad [1K]
3 years ago
14

I need help solving this problem

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

A. (1, 3) is your answer.

Step-by-step explanation:

Since they are both positive that means that it will be increasing.

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Linear System, substitutional method<br><br> 5x+4y=32 <br> 9x-y=33<br><br> helppp
Pachacha [2.7K]
5x + 4y = 32 ⇒ 45x + 36y = 288
9x -  1y = 33 ⇒ <u>45x -    5y = 165</u>
                                    <u>41y</u> = <u>123</u>
                                     41      41
                                        y = 3
                            5x + 4(3) = 32
                              5x + 12 = 32
                               <u>    - 12  - 12</u>
                                      <u>5x</u> = <u>20</u>
                                       5      5
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6 0
3 years ago
What is the slope of the graph of y=3x-1
julsineya [31]
The slope is 3. to find the slope of the equation, you look at the leading coefficient (the number in front of the x)
6 0
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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

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Hatshy [7]
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I will help you if you show me what questions 1,2,3,4 are. 

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