The number of each type of coin that Joan has are; 16 dimes and 3 quarters
<h3>How to convert currencies?</h3>
We are told that Joan has a total of 19 coins.
Now, the worth of the coins is $2.35
Let dimes be d and let quarters be q. Thus;
10d + 25q = 235
d + q = 19
Substitute d = 19 - q in the 1st equation to get;
10(19 - q) + 25q = 235
190 - 10q + 25q = 235
15q = 45
q = 45/15
q = 3
Thus;
d = 19 - 3
d = 16
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Answer:
x = 4,-4
Step-by-step explanation:
x^2 - 16 = 0
Add 16 to both sides,
x^2 = 16
take the square root of both sides, this will cancel out x squared,
√16 = 4, so
x = 4, -4
Arc length, (s)=(radius, r)(central angle, q)
s=rq
q=s/r
q=4/10
q=2/5, or 0.4 radians
4.3 repeating
Hope this helps.
Answer:
A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution
Step-by-step explanation:
Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers
Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely
Say if the interval is (a,b) P(X) = p the same for all places
Since total probability is 1,
we get integral of P(X)=p(b-a) =1
Or p=
this is nothing but a uniform distribution continuous defined in the interval
A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution