Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 + 3 = 14 parts
Divide number of members by 14 to find the value of one part of the ratio.
560 ÷ 14 = 40 ← value of 1 part of the ratio
(i)
number of women = 6 × 40 = 240
(ii)
number of children = 3 × 40 = 120
There are 100 centimeters in 1 meter, so 54 centimeters subtracted from 100 centimeters(1 meter) is
100-54=46
so 46 centimeters remain, or 46/100 of the board which is really 23/50 of the board.
So basically, your possible answers:
46 centimeters
0.46 meters
46% of the original board
23/50 of the original board
Answer:

Step-by-step explanation:

Convert the given fractions into like fractions.
To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.
To find out the L.C.M of given numbers,
First of all, find the prime factors of each numbers.
3 = 3 × 1
4 = 2 × 2 × 1
Take out the common prime factor i.e 1
Also take out the other remaining prime factors i.e 2 , 2 and 3
Now, multiply those all prime factors and obtain L.C.M
= 1 × 2 × 2 × 3 = 12
L.C.M of 3 and 4 = 12


Add the numbers : 20 and 21

Convert the improper fraction into mixed fraction

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.
Hope I helped!
Best Regards!
~ TheAnimeGirl
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