Answer:
Position of point X on the number line must be X = -27
Step-by-step explanation:
Notice that there are 14 units between W and Y, since the absolute value of their difference is :
| -15-(-29) | = | -15 + 29 | = 14
Now let's write an equation that tells as what is the distance between W and X in terms of WY knowing that we want WX to be 1/7 of WY:
This is telling us that the point X must be located two (2) units to the right of point W. That is W + 2 = -29 + 2 = -27
Position of point X on the number line must be X = -27
Answer:
Probability that the result is a multiple of 4 or a multiple of 3= 0.428
Step-by-step explanation:
The spinner is divided into 14 equal areas.
Probability of an event=
For favourable events,result should be a multiple of 3 or 4.
All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14
Hence the favourable outcomes are=3,4,6,8,9,12
Number of favourable outcomes=6
Total number of outcomes=14
Probability=
=0.428
Answer:
It Is true and then false
Step-by-step explanation:
Answer:
It takes less time sending 5 letters the traditional way with a probability of 36.7%.
Step-by-step explanation:
First we must take into account that:
- The traditional method is distributed X ~ Poisson(L = 1)
- The new method is distributed X ~ Poisson(L = 5)
Where L is the intensity in which the events happen in a time unit and x is the number of events.
To solve the problem we must calculate the probability of events (to send 5 letters) in a unit of time for both methods, so:
- For the traditional method:
- For the new method:
According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.