Answer:
D. 2/7
Step-by-step explanation:
The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.
The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.
So, if we replace n by 8 and k by 4, we get:

Then, there are 70 ways to select 4 people from a group of 8 volunteers.
At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.
Finally, the probability is:

Answer:
x = 5
Step-by-step explanation:
because the log is base 2 you can remove the log by raing 2 to the power of each side:

the 2 and log2 cancel leaving:

this means we can now solve through simple algebra:

Answer:
Sam is 6, Destiny is 17
Step-by-step explanation:
(2xS)+5=D
D+S=23
Answer:
Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.
Now we have 3/6+1/6, which is 4/6 (add the numerator).
4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.
So, therefore, the answer is 2/3.
2.74x7.5=20.55=20.550
That's all of your answers.