Answer:
10
Step-by-step explanation:
The current probability of picking a red ball is 
. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:
When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).
60 = 4x + 20
40 = 4x
x = 10 red balls
24/1 divided by 3/8 would be 64. That can be found by finding the reciprocal (inverse) of the second fraction, multiplying the numerators and denominators to get 192/3. Then to simplify, you can divide both numerator and denominator by 3 to get 64/1 or 64. Hope that helps!
Answer:
14 feet
Step-by-step explanation:
To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:
p = 2 * l + 2 * w
Now we know that the total fencing value is $ 976 and that per foot is $ 16
that is, we can calculate the value of the perimeter, like this:
976/16 = 61
We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:
61 = 16.5 * 2 + 2 * w
solving for w:
w = (61 - 33) / 2
w = 14
which means that the width of the patio is 14 feet.
Answer:
16
Step-by-step explanation:
According to the given description, PS is the mid segment of the 
Therefore by Mid-segment Theorem:
The probability that the train will be there when Alex arrives is 5/18
If Alex arrives at any time after 1.20pm the chances that train will be there is 1/3.
However if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.
The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.
By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm
we get the final answer by
=1/3( 1/6 + 1/3 + 1/3)
=5/18
So, the probability that the train will be there when Alex arrives is 5/18
Learn more about PROBABILITY here
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