You can draw the shape, and show the measurements.
The possible values of N from the given probability parameters is; N equals 15 or 21
<h3>How to Solve Algebra Problems?</h3>
We are told that;
Number of pens in the box = N
Let the number of red pens be x
Thus; number of black pens = x + 3
Thus;
x + x + 3 = N
x = (N - 3)/2
The probability that she will take a black pen followed by a red pen is;
P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)
Plugging in he relevant values and solving for N gives ;
Solving for N gives N equals 15 or 21
Read more about Algebra at; brainly.com/question/723406
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So 7=7/1
to put a 9 in the bottom and make the fraction stay the same, multiply it by 1
or 9/9 since 9/9=1 so
7/1 times 9/9=(7 times 9)/(1 times 9)=63/9
answe ris 63/9
Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.
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Explanation:
We have this sequence
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...
which is geometric with the following properties
- a = first term = 1
- r = common ratio = 1/2 = 0.5
Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.
Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.
That infinite sum is
S = a/(1-r)
S = 1/(1-0.5)
S = 1/0.5
S = 2
So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.
In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.
Here's a list of partial sums
- 1+1/2 = 1.5
- 1+1/2+1/4 = 1.75
- 1+1/2+1/4+1/8 = 1.875
- 1+1/2+1/4+1/8+1/16 = 1.9375
- 1+1/2+1/4+1/8+1/16+1/32 = 1.96875
- 1+1/2+1/4+1/8+1/16+1/32+1/64 = 1.984375
- 1+1/2+1/4+1/8+1/16+1/32+1/64+1/128 = 1.9921875
- 1+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256 = 1.99609375
We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.
