Answer:
3/4
Step-by-step explanation:
probability of any event = 
3 freshmen + 3 sophomores + 3 juniors + 3 seniors = 12 participants
∴the total number of participants = 12
P(freshman is a captain) = 
= 
=
P (freshman is not a captain) = 1 -
= 
whenever the probability of an event not happening is being calculated, always subtract the possibility of the occurrence of such event from 1
You will have to get 5/6 of 1/2 so we have to multiply
Priya was lost for 5/12 of the day
Answer:
- A (-4, -3)
- C (2, 4)
- E (3, 2)
Step-by-step explanation:
It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.
_____
Of course, you can do the function evaluations. For example, testing answer B, we find ...
... 3·6 ≤ -2·1 +18 . . . . <em>false</em> for the first equation — not a solution
Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.
_____
<em>Using a calculator</em>
The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...
- -2x -3y +18 ≥ 0
- -x +4y +12 ≥ 0
This makes it easy to look at the evaluation results to see if the solution is viable or not.
The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is <u>not</u> part of the solution set. Points B and D fail to match problem requirements.
Points A, C, and E are in the solution set.
1 unit = 15 feet
150 feet / 1 unit = 150 / 15 = 10 units
120 feet / 1 unit = 120 / 15 = 8 units
The dimensions of the drawing equates :
10 units by 8 units .
hope this helps!
Answer:
T = 290
Step-by-step explanation:
We can find the sum of all observations multiplying sample size (n) by sample mean (x).
Sum of all observations in the data set is,
Hope this helps!
