Answer:
1/18
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
Multiples of 3 between 1 - 9 = 3,6,9
Probability of picking a multiple of 9 = total multiples of 9 in the bag / total tiles in the bag
3/9
To transform to the simplest form. divide both the numerator and the denominator by 3
1/3
After picking the multiples of 3, the tiles are not replaced, tiles in the bag would now be 6
Probability of picking 5 = 1/6
1/6 x 1/3 = 1/18
Answer:
x = 3, y = 4 and z = -5.
Step-by-step explanation:
Use the elimination method:
-3x + 2y + z = -6...........(1)
x + 3y + 2z = 5..............(2)
4x + 4y + 3z = 13..........(3)
Multiply the first equation by -2:
6x - 4y - 2z = 12 Add this to equation (2):
7x - y = 17...........(4)
Now Multiply equation (2) by 3 and equation (3) by -2
3x + 9y + 6z = 15 ............(5)
-8x - 8y - 6z = -26............(6) Adding (5) + (6):
-5x + y = -11..........(7)
Now Add (7) and (4):
2x = 6
x = 3.
Now substitute for x in (4):
7(3) - y = 17
-y = 17 - 21 = -4
y = 4.
Finally substitute for x and y in equation (3) to find z:
4(3) + 4(4) +3z = 13
3z = 13 - 12 - 16 = -15
z = -5.
Answer:
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right on the test review.
Answer:
Red: 161 White: 77
Step-by-step explanation:
Given there are 238 marbles in a jar, and there are 42 more red marbles than white marbles, we need to divide the number of marbles by two, as there are, presumably, two colors.
238 / 2 = 119
After doing this, we subtract 42 from one of the two 119s, and we add 42 to the other.
119 - 42 = 77
119 + 42 = 161
The value with 42 added is the red marble count, and the value with 42 subtracted is the white marble count.
Answer:
8t^3-36t^2+54t-27
Step-by-step explanation:
(2t-3)^3
(2t-3)(2t-3)(2t-3)
Multiply the first two terms
(4t^2 -6t -6t+9)(2t-3)
Combine like terms
( 4t^2 -12t +9) ( 2t-3)
Multiply
2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)
Distribute
8t^3 -24t^2 +18t-12t^2 +36t-27
Combine like terms
8t^3-36t^2+54t-27
