Multiples of 11 between 1 and 30:
11, 22
So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.
For the next question:
There are a total of 3 + 8 = 11 balls in the bag.
The probability of choosing a red ball is 3/11.
The probability of choosing a green ball is 8/11.
Multiply the three fractions:
3/11 * 3/11 * 8/11 = 72/1331
So the probability is 72/1331.
For the last question:
A standard deck of cards has 52 cards.
There are 4 queens and 4 kings in the deck.
Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.
Multiply the two fractions:
4/52 * 4/51 = 16/2652
So the probability is 16/2652 or 4/663
Answer and explanation;
= 1/15 is the answer get when 36 is divided by 540 .
We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;
540 ÷ 36
We can take 360 ÷ 36 = 10
Then the remainder is ; 540 -360 = 180
But ; 180 ÷36 = 5
Then we get the sum of the quotients which is 10 +5 = 15
Thus; 540 ÷ 36 = 15
However; the question was 36 ÷ 540 , so we get the reciprocal of 15;
= 36 ÷ 540 = 1/15
Answer:
55.25 = x
Step-by-step explanation:
3x - 161 = 7x - 382
Balance method:
7x- 3x = -161 + 382
4x = 221
Divide to find x:
221/4 = x
55.25 = x
The complete question is
A fence must be built to enclose a rectangular area of 5000ft^2. Fencing material costs $1 per foot for the two sides facing north and south and 2$ per foot for the other two sides. Find the cost of the least expensive fence.
Answer:
Total cost will be $400
Step-by-step explanation:
Let x = be other side
y = north and south side
Area = x*y = 5000
Perimeter of the rectangle = 2x + 2y
cost of fencing = 2(1)*5000/x + 2*2x
= 10000/x + 4x
now to get the least we will take the derivative of this
C'(x) = 10000(-1/x^2) + 4 =0
x^2 = 2500
x= 50ft cost = 2*$2*50 = $200
y= 100ft cost = 2*$1*100 = $200
Total cost = $400
Answer:
square root of 2
Step-by-step explanation:
