Using P(A∪B) = P(A) + P (B) - P(A∩B)
If we apply this in the question
Then P(S∪T) = P(S) + P(T) - P (S∩T)
= 6/11 + 1/10 - P (S∩T)
= 71/110 - P (S∩T)
But events S and T are mutually exclusive events therefore,
P(S∩T) = 0,
Hence P(S∪T) = 71/110
Answer:
The proportion of children that have an index of at least 110 is 0.0478.
Step-by-step explanation:
The given distribution has a mean of 90 and a standard deviation of 12.
Therefore mean, 
= 90 and standard deviation, 
= 12.
It is given to find the proportion of children having an index of at least 110.
We can take the variable to be analysed to be x = 110.
Therefore we have to find p(x < 110), which is left tailed.
Using the formula for z which is p( Z < 
) we get p(Z < 
= 1.67).
So we have to find p(Z ≥ 1.67) = 1 - p(Z < 1.67)
Using the Z - table we can calculate p(Z < 1.67) = 0.9522.
Therefore p(Z ≥ 1.67) = 1 - 0.9522 = 0.0478
Therefore the proportion of children that have an index of at least 110 is 0.0478
Answer:
The answer is D) No; Y doesn't vary directly with x.
Step-by-step explanation:
It isn't A because:
y=2x:
2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true
It isn't B:
y=5x
5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true
It isn't C:
y=7x
7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true
Step-by-step explanation:
The range of a function is basically the y-value of the lowest point in the function and the y-value of the highest point in the function.
In the graph shown, the lowest point is (0,1) and the highest is (3, 4). Their y-values are 1 and 4 respectively.
The points are not connected in a straight line. Instead, they are separate points with a difference of 1 in their y-values.
So the answer is {1, 2, 3, 4}
Answer:
no solution
Step-by-step explanation:
2 x 2x, 2 x -2, you now have 4x=4x-4, subtract 4x and 4x and you are left with -4
