The probability of Jake winning a contest is 0.25
To put it into an equation, it would be:
340 = 2x - 100
with x being the amount of sophomores at BHSS.
Solve it:
340 + 100 = 2x
2x = 440
x = 220
The number of sophomores at BHSS is 220.
Answer: see image
<u>Step-by-step explanation:</u>
Draw line x = 3. Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.
Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.
Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325
The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75
Round up,
Index = 7
The,
7th number = $155
Therefore, 45th percentile value of the data = $155