The probability is really little because a shuffle will shuffle it in a mix order which makes it a really little chance for it to be in alphabetical order
Answer:
x = 4, TU = 22
Step-by-step explanation:
Given that TS bisects TU at Q , then
TQ = QU , substitute values
5x - 9 = 15 - x ( add x to both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Thus
TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22
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
V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
V=1/3(3.14)(81)(15)
Then multiply all numbers in parentheses:
3815.1/3=1271.7 cm^3
Hope this Helps!
Answer:
x=12.50
y = 17.50
Step-by-step explanation:
x = Amount of one Derek withdrawal
then amount of John withdrawal =x+5
Total withdrawals of Derek = no of times x one time withdrawal
= 7(x) = 7x ... i
No of John withdrawal = no of times x one time withdrawal
= 5(x+5) ... ii
Given that i and ii are equal
i.e. 7x =5(x+5)
7x = 5x+25
2x =25
x = 12.50 dollars
Y = 17.50 dollars
Checking part:
total derek withdrawal = 7(12.5) =87.50
Joh's withdrawal = 5(17.50) = 87.50
Since both are equal, our answers are right.
Solution: Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.
