Answer:
The correct option is D. 2/7
Step-by-step explanation:
Consider the provided information.
There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.
We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.
We want to select Andrew and 3 others but not Karen in the group.
Thus, the number of ways to select 3 member out of 8-2=6
(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)
The required probability is:

Hence, the correct option is D. 2/7
The magnitude of -1-5i is √26.
<h3>What is the magnitude of -1-5i ?</h3>
Given the complex expression; -1 - 5i
To find the magnitude, we use the formula;
| a+bi | = √[ a² + b² ]
| a+bi | = √[ a² + b² ]
| -1-5i | = √[ (-1)² + (-5)² ]
| -1-5i | = √[ 1 + 25 ]
| -1-5i | = √26
Therefore, the magnitude of -1-5i is √26.
Learn more about magnitudes here: brainly.com/question/18152189
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Answer:
A
Step-by-step explanation:
account balance on compound interest = principal amount (1+rate/100)^time
here there are t years so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t
now total balance = 3545(1.045)^3t
here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A
Okay, so since the discount is 60% of the price and it comes out to $2.8, we are going to form the following expression, where x is the original price.
60% of x = 2.8
Simply means: 60/100 * x = 2.8
You solve for x, which comes out to $4, which is your original price.
This is a proportional problem.
The distance 'd' corresponds to the 9 inches.
The 7-ft pin corresponds to the size 's'.
Convert 7ft to 7/3 yds. This way you have equal ratio of yds to inches.