Answer:
The correct answer should be x > -2
Step-by-step explanation:
-3(x - 3) > 5 - 5x
-3 + 9 > 5 - 5x
-3x + 5x + 9 > 5
-3x + 5x > 5 - 9
2x > 5 - 9
2x > -4
x > -2
Hope this helped! :)
Answer: Rs. 5,033.30
Step-by-step explanation:
Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388
Median position = 388/2 = 194
Median therefore lies in range where cumulative employees is 194:
= 15 + 32 + 65 + 79 = 191
Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.
Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range
= 5,000 + 999 * (388/2 - 191)/90
= 5,000 + 33.3
= Rs. 5,033.30
Answer:
A line segment is a line that starts somewhere and then ends somewhere.
Step-by-step explanation:
Answer:
D) 7
Step-by-step explanation:
Let y = number of yellow marbles in the bag
For the first marble
P(yellow) = number of yellow marbles over total
=y/12
For the second draw, there are y-1 yellow marbles in the bag, and only 11 marbles left since we keep the first marble
P(2nd marble yellow) = (y-1)/11
The probability that the first and second marble are yellow when we keep the first marble is
y/12 * (y-1)/11 = 5/33
y * (y-1) 5
---------- = ----------
121 33
We can use cross products to solve
33 y(y-1) = 660
Divide each side by 33
y(y-1) = 660/33
y(y-1) = 20
Distribute
y^2 -y =20
Subtract 20
y^2 -y -20 =0
Factor
(y-5)(y+4) =0
Using the zero product property
y = 5 or y = -4
Since we cant have negative marbles
We have 5 yellow marbles
Since there are 12 marbles
12-5 =7
There are 7 green marbles