A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 9 cm/s. Express the surfac
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The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.
y = 66
x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
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<h2>See the explanation.</h2>Step-by-step explanation:
(a)
There were total 5 men wearing coats.
5 coats can be returned to 5 men in 5! = 120 ways.
The coats can be returned to the accurate persons only in 1 way.
Hence, the probability that each man gets the correct coat is .
(b)
At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.
Hence, in ways the hostess can return the 2 coats.
There is only 1 possible case that each of the coats will return to the correct owner.
Hence, the required probability is .