Answer:
a. true b. true
Step-by-step explanation:
<em>(a) If r and s are rational numbers, then (r+s)/2 is rational. </em>
true
rational numbers can be expresed as fractions
let be r=a/b and s=c/d being a,b,c,d integer numbers
d.a=e is an integer number because it's the product of two integers
b.c=f is an integer number because it's the product of two integers
e+f=g is an integer number because it's the sum of two integers
b.d=h is an integer number because it's the product of two integers
2.h=i is an integer number because it's the product of two integers
g/i=j is an integer number because it's the quotient of two integers
then
<em>(b) For all real numbers a and b, if a < b then a < (a+b)/2 < b</em>
true
lets analyze 2a < (a+b)
then 2a < (a+b) is true
lets analyze (a+b) < 2b
then (a+b) < 2b is true
The question is asking to state the first twelve number in the pattern in the number, base on my calculation, I would say that the first twelve numbers are 7, 8, 9, 10, 11, 12, 13, 14 ,15 ,16, 17, and 18. I hope you are satisfied with my answer and feel free to ask for more if you have questions
Answer:
Step-by-step explanation:
Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.
Firstly we will make PMF
For X=0, P=(4/5)^3=64/125
For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125
For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125
For X=3, P=C(3,3)*(1/5)^3=1/125
So,
E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84
E[X]=48/125+12/125*2+1/125*3=0.6
So,
E[X]^2=0.36
I think estimation is terrible. If u want to truly solve it, you just need to get a common denominator on each of the fractions. that means the bottom half of both fractions must be the same in addition or subtraction. so here, the common denominator would be 66. What times 6 = 66? 11. So 1*11/6*11 = 11/66. Then what times 11 = 66? 6. So 6*6/6*11.
Your new problem is 2 11/66 + 3 36/66. Now you can just add it up, but the denominators will always stay the same, 66. Your answer would be 5 47/66
Answer:
−
3
x
+
3
y
−
6
Step-by-step explanation:
If you want me to show work let me know but all you need to do is simplify the expression.
