Answer:
<h2>there are 22 dimes</h2><h2>there are 44 nickles</h2><h2 />
Step-by-step explanation:
D be dimes and N be nickles
2 nickles as dime
nickle = 5 cents and dime =10 cents
N=2D
0.10 D + 0.05 (N)=4.4 substitute N=2D
0.10 D +0.05(2D)=4.4
0.10D+0.10D=4.4
0.20 D=4.4
D=4.4/0.2 = 22
<h2>there are 22 dimes</h2>
N=2D
N=2(22)
N=44
<h2>there are 44 nickles</h2>
check : 0.10(22)+0.05(44)= 4.4 (correct)
Answer:
10 players
Step-by-step explanation:
so a percentage is really just like a fraction or decimal so were going to turn it into a decimal by moving the decimal point two places to the left making it .20 then to figure out the answer we're going to multiply 50 by .20 to get 10
Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer:
The lenghts of both legs: 
Step-by-step explanation:
By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.
Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity
:

Finally, simplifying, we get:
