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Anna35 [415]
3 years ago
10

which ordered pairs are a solution to the equation? y=3x Select all that apply (-1,3) (2,5) (1,3) (-2,-6)

Mathematics
2 answers:
trasher [3.6K]3 years ago
5 0
(1,3) and (-2,-6) are both solutions
Andrews [41]3 years ago
5 0
Substitute one by one and see which pair satisfy it.
(-1,3)
3=3(-1)
3=-3 
it is not true,so not a solution.
(2,5)
5=3×1
5=3 
it is not true so not asolution.
(1,3)
3=3×1
3=3
it is true so (1,3)is a solution.
(-2,-6)
-6=3×(-2)
-6=-6
which is true.
Hence (-2,-6) is also a solution.
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Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7: 15, 7: 30, 7: 45, and s
svp [43]

Answer:

The answers are a) 1/3 and b) 1/3

Step-by-step explanation:

we will consider t to be the arrival time variable in minutes. We will have it run from 0 min to 30 min omitting the 7 hours , which won't change the results since the PDF we are about to calculate is a constant.

So the PDF of the arrival time is a constant and the since the area under this PDF distribution should be equal to 1 so, Let the height of the constant distribution equal to c, so c*30 (which is equal to the total probability) would be the area under the distribution, but this area should be equal to 1, So that gives us c=1/30 which is the value of the constant PDF for all corresponding arrival times.

PDF = 1/30  

part a) of the question asks for the probability that the passengers wait less than 5 minute. The passengers would have to wait for the bus 5 min or late if they arrive between the times (10 - 15 )min and (25  - 30) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

P(10

P(10

Now part b) of the question asks for the probability that the passenger waits for more than 10 minutes. Which can be calculated by noting that that can only happen if the passenger arrives between the times (0 - 5) min and (15 - 20) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

P(0

The answer to part b) is 1/3.

7 0
3 years ago
What is the value of a if a*a*a=a+a+a?
antiseptic1488 [7]
A^3=3a, a=
a {3}^ = 3a \:  \: a =  \sqrt[3]{a}
8 0
3 years ago
Read 2 more answers
The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip wil
iVinArrow [24]

Answer:

10:02:24\ \text{pm}

Step-by-step explanation:

d = Distance to travel = 880 miles

s = Average speed of the car = 65 mph

Time taken to cover the distance is

t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}

Time the car stopped

3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}

Total time of the journey

13.54+1.5=15.04\ \text{hours}

Converting 0.04\ \text{hours} to minutes

0.04\times 60=2.4

So, the total time taken for the journey is 15\ \text{hours and }2\ \text{minutes and }24\text{seconds}

Time when they reach their destination

7:30+15:2.4\approx 10:02:24\ \text{pm}

8 0
2 years ago
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. W
podryga [215]

Simplified expression for total amount spent is 10(2.05 + m)

Step-by-step explanation:

  • Step 1: Write expression for expense on joining cooking club for m months.

Expense = 8.50 + 6.25 × m

  • Step 2: Write expression for expense on joining movie club for m months.

Expense = 12 + 3.75 × m

  • Step 3: Calculate the total amount spent on both clubs

Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)

6 0
3 years ago
Look at the graph. What is ?
shepuryov [24]

Answer:

no picture.

Step-by-step explanation:

no picture

4 0
2 years ago
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