Answer:
300 girls were there in the gym.
Step-by-step explanation:
Given:
The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.
Now, to find the number of girls in the gym.
The girls in the gym does not left, their quantity is same before and after.
So, we multiply the both ratios to make the girls ratio same:
4:3 × 5 = 20:15
4:5 × 3 = 12:15
Now, <em>we find the units of the ratio</em>.
<em>The ratio of boys dropped down by 160</em>:
20 - 12 = 8 units.
160 = 8 units
Now, dividing both sides by 8 we get:
20 = 1 unit
So, 1 unit = 20.
Now, girls = 15 units
So, 15 × 20 = 300.
Therefore, 300 girls were there in the gym.
Answer: a) 1 / ⁴⁰C₅ b) 0.33
Step-by-step explanation:
a) The sample space consists of all numbers 1-40.
Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅
b)
If we pick exactly 3 even number then that means other 2 will be odd.
So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.
Now we have to pick 3 even out of 20 and 2 odd out of 20.
Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅
Probability= 0.33
Group together common letters
4n+8n=12n
-3d+-3d=-6d
B.12n-6d
Answer:
The right solution is:
(a) $1,940
(b) $2,813
Step-by-step explanation:
Given:
Invoice amount
= $8,400
Discount 1
= 33.33%
Discount 2
= 12.5%
So,
The net payable amount will be:
= ![8400\times [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]](https://tex.z-dn.net/?f=8400%5Ctimes%20%20%5B1%20-%20%5Cfrac%7B100%7D%7B300%7D%20%5D%5Ctimes%20%5B1%20-%20%5Cfrac%7B12.5%7D%7B100%7D%20%5D)
= 
= 
($)
Now,
(a)
Amount paid will be:
= 
= 
($)
Balance still to be paid will be:
= 
= 
($)
(b)
Amount paid will be:
= 
= 
= 
($)
Balance still to be paid will be:
= 
($)
Thus the above solution is the appropriate one.
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