Answer:
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Step-by-step explanation:
Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply
p=(4 2)*(4 2)/(8 4)
This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence
P(X = n) = (1— p)^n-1 *( p )
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
15 x .42= $ 6.30 Flour
8 x 3.99 = $31.92 Utter
1 x .67 = .67 Salt
30 x 1.49 = $ 44.70 Apples
Total = $83.59
Dollar amount is $83
Change amount is .59
If Jamal had $84.00 to spend his change was .41
You need 5 more gallons for a full tank.
Since it takes 10 gallons to increase the gauge from 1/4 to 3/4 (change of 2/4 which is the same as 1/2), it must have taken 10 gallons to fill up to halfway for the tank.
Thus the full amount would be 10*2 = 20 gallons
However, since there is already 3/4 gasoline in the tank, we only need an extra 1/4 of 20 for it to be full.
So, 20*1/4 = 5
We need to add 5 gallons for a full tank.
Answer:
C 1 8/12 + 2 3/12 + 2/12 =
Step-by-step explanation:
Constituents of the fruit salad prepared by Emily:
![\[1\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B1%5Cfrac%7B2%7D%7B3%7D%5C%5D)
cups of grapes
![\[2\frac{1}{4}\]](https://tex.z-dn.net/?f=%5C%5B2%5Cfrac%7B1%7D%7B4%7D%5C%5D)
cups of strawberries
![\[\frac{1}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B6%7D%5C%5D)
cups of blueberries
This can be expressed as follows:
![\[1\frac{2}{3}+2\frac{1}{4}+\frac{1}{6}\]](https://tex.z-dn.net/?f=%5C%5B1%5Cfrac%7B2%7D%7B3%7D%2B2%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B6%7D%5C%5D)
This can be equivalently expressed as :
![\[1\frac{8}{12}+2\frac{3}{12}+\frac{2}{12}\]](https://tex.z-dn.net/?f=%5C%5B1%5Cfrac%7B8%7D%7B12%7D%2B2%5Cfrac%7B3%7D%7B12%7D%2B%5Cfrac%7B2%7D%7B12%7D%5C%5D)
Among the given options, this corresponds to option C.
Answer: 6*(4+2)+3*3+1*2
Explanation: We want to simply plug in the numbers. The 6 represents the number of points from a touchdown. One team scored 4 and the other scored 2.
The 3 represents the field goal points. Only one team scored 3.
The 1 represents the extra points. Only one time scored 2.
