Answer:
1/1024.
Step-by-step explanation:
There are 3 odd numbers in the numbers from 1 to 6. So:
Probability (one toss is odd) = 3/6 = 1/2.
So the Probability ( 10 tosses are all odd) = (1/2)^10
= 1/1024.
Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
7x + 3 is the final answer
Multiply x/3 by 5
and 2y/5 by 3
to give common denominator of 15
5x/15 + 6y/15
= (5x + 6y) /15
i hope this is what you need
5x + 6y
______
15
