x/110 = (320-x)/90
<span> Cross multiply</span>
90x = 35200-110x
200x=35200
X = 35200/200 = 176 (distance traveled by train going 110 mph
176/110 = 1.6 hours = 1 hour and 36 minutes
Check: 110*1.6 = 176, 90*1.6 = 144
176+144 = 320
it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.
Answer:
a) not independent
b) not mutually exclusive
Step-by-step explanation:
Given:
- A 6 sided die is rolled
- Event A is rolling an even number
- Event B is rolling a prime number
Find
- (a) Are A and B independent events?
- (b) Are A and B mutually exclusive events?
Solution:
- We will find the probability of each event:
set(Even number: A) = {2, 4, 6} = 3 outcomes
set(Prime number: B) = {2 , 3, 5} = 3 outcomes
- The probabilities are:
P(A) = 3/6 = 0.5
P(B) = 3/6 = 0.5
- For Event A and B to be independent then the following condition must match:
P ( A & B ) = P(A)*P(B)
set (A&B) = {2} = 1 outcome
P(A&B) = 1/6
1 / 6 = 0.5*0.5
1/6 = 0.25 ...... NOT INDEPENDENT
- For Event A and B to be mutually exclusive then the following condition must match:
P(A&B) = 0
P(A&B) = 1/6
Hence, we can say the events are NOT MUTUALLY EXCLUSIVE
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:

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<u><em>*Please mark brainliest if that helped!*</em></u>