Answer: 7/26
Step-by-step explanation:
Number of purple marbles = 6
Number of white marbles = 7
Total number of marbles = 13
The probability of first drawing a white marble will be = 7/13
The probability of drawing a purple marble the second time will be = 6/12 = 1/2
The probability that the first marble is white and the second one is purple will now be:
= 7/13 × 1/2
= 7/26
Note that since there are 13 marbles, when the first purple marble is drawn, there'll be 12 marbles left.
Answer:
Hey mate here's your answer.....
Step-by-step explanation:
Mathematics is a subject where you study more about numbers and daily life applications.
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Answer:
$280.51
Step-by-step explanation:
The formula we want to use:
![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where:
P is the principal
r is the the rate
n is the number of compounding per year
t is total number of years
A is the ending amount
We are given P=200, r=.07, n=1 (compounded once a year), t=5.
So plugging this in:
![A=200(1+\frac{.07}{1})^{1 \cdot 5}](https://tex.z-dn.net/?f=A%3D200%281%2B%5Cfrac%7B.07%7D%7B1%7D%29%5E%7B1%20%5Ccdot%205%7D)
Simplify a little:
![A=200(1+.07)^{5}](https://tex.z-dn.net/?f=A%3D200%281%2B.07%29%5E%7B5%7D)
Just a little more:
![A=200(1.07)^{5}](https://tex.z-dn.net/?f=A%3D200%281.07%29%5E%7B5%7D)
Now I'm going to put the rest of this in the calculator:
200*(1.07)^5 is what I'm putting in my calculator.
This is approximately 280.5103461.
To the nearest cent this is 280.51
Answer:
The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is
.
Step-by-step explanation:
We are given the area of an Equilateral triangle which is A =
. And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).
So, the area of an equilateral triangle =
where, s = side of an equilateral triangle
A =
Cross multiplying the fractions we get;
![\sqrt{3} \times \text{s}^{2}= 4\text{A}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5Ctimes%20%5Ctext%7Bs%7D%5E%7B2%7D%3D%204%5Ctext%7BA%7D)
Now. moving
to the right side of the equation;
Taking square root both sides we get;
Hence, this formula represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).