The result is: {5,6,9}
Step-by-step explanation:
Given
U = {0,1,2,......,10}
A = {5,6,9}
B = {0, 6, 7, 10}
We have to find
(A∩B)U(A∩B')
First of all,
<u>B':</u>
B' = U -B = {0,1,2,......,10} - {0, 6, 7, 10}
= {1,2,3,4,5,8,9}
<u>A∩B':</u>
A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}
= {5,9}
<u>A∩B:</u>
A∩B = {5,6,9} ∩ {0, 6, 7, 10}
={6}
At the end we have to find union
(A∩B)U(A∩B') = {6} U {5,9}
(A∩B)U(A∩B') = {5,6,9}
Hence,
The result is: {5,6,9}
Keywords: Sets , Union
Learn more about sets at:
#LearnwithBrainly
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



EXPLANATION
The consecutive even numbers are

EXPLANATION
Let

be the first even number then, the next even number will be,

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

We multiply through with an LCM of 10 to get,

This simplifies to,

We expand the brackets to get,

We group like terms to get,

This simplifies to

Therefore the next even number is is
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
If the base were 1, then the final value would never change...it would be a constant...
If the base is between zero and one, it is an exponential decay equation, so the final value would continually get smaller and smaller...