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Pepsi [2]
3 years ago
14

a container holds 15 pennies 8 nickels and 10 dimes you will randomly select two coins without replacement what is the probabili

ty you will select a dime on your second draw if you do not select a dime on your first draw
Mathematics
1 answer:
nalin [4]3 years ago
5 0
SOLUTION: A container holds 15 pennies, 8 nickels, and 10 dimes. You will randomly select two coins without replacement. -->Fill in the probabilities on a tree diagram.
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<img src="https://tex.z-dn.net/?f=1%203%2F12-2%2F3%3D" id="TexFormula1" title="1 3/12-2/3=" alt="1 3/12-2/3=" align="absmiddle"
Ksju [112]

Answer:

\frac{5}{12}

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

\frac{13}{12}-\frac{2}{3}

Convert to a common denominator,

\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})

\frac{13}{12}-\frac{8}{12}

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

\frac{5}{12}

3 0
3 years ago
GN WORLD not that anyone care but gn
Sholpan [36]

Have a great night!

GNNNNNNNNNNN

3 0
3 years ago
Read 2 more answers
Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5
GrogVix [38]

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

3 0
3 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
A certain model of automobile is available in seven exterior colors, three interior colors, and four interior styles. In additio
VikaD [51]

Answer:

336 version

Step-by-step explanation:

To determine the total possible number of combination we will use the product rule

Total numbers of exterior colour 7

Total number of interior colour 3

Total number of interior style 4

Total number of transmission option 2

Total number of engine option 2 therefore the total combination is

7*3 *4*2*2 = 336 possible combination

6 0
3 years ago
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