In this question, Suzan is taking 5 marble from a bag containing 4 red marbles, 3 green ones, 4 white ones, and 3 purple ones. The total marble in the bag should be: 4+3+4+3= 14. The question is how much the probability to get <span>1 red, 2 green, 1 white and 1 purple.
Ways to take 5 marble out of 14=14C5= 14!/5!9!= </span>2002<span>
</span>Ways to take 1 red marble out of 4= 4C1= 4<span>
</span>Ways to take 2 green marble out of 3= 3C2= 3
Ways to take 1 white marble out of 4= 4C1= 4
Ways to take 1 purple marble out of 3= 3C1= 3
Then the probability would be: 4*3*4*3/ 2002= 144/2002= 72/1001
Hey, I think an image is needed to answer this question.
Move the decimal point 2 places to the left answer: 0.0951
We are given function: y= 
Where, x is the number of hours after 5a.m.
We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.
From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.
So, we need to plug x=2 in the given function.
Plugging x=2 in 
, we get
Let us simplify it now.
2^2= 4.
Therefore,
= -20.524 + 63.642 - 3.333.
= 39.785 or 40 approximately.
Therefore, the number of people in line at 7 a.m. is approximately 40 people.
Option D.40 is correct option.
Answer:
84
Step-by-step explanation:
because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:
x/48 = 21/12 (multiply both sides by 48)
x = (21/12)· 48
x = 21 ·4
x = 84
