If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
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Answer:
3/1/4
That's the expression represents Lena's speed in miles per hour
Hello!
First we have to find the median
We have to order the numbers from least to greatest
72, 83, 87, 90, 97, 101, 114, 117, 142
The median is 97
Next we have to find quartile 1
you look for the median for the numbers under 97
It is 83 and 87
You get the average
83 + 87 = 170
170 / 2 = 85
quartile 1 is 85
Next we find quartile 3
Look for the median for the numbers above 97
The numbers are 114 and 117
Get the average
114 + 117 = 231
231/2 = 115.5
Now you find the range between the quartiles
You do quartile 3 - quartile 1
115.5 - 85 = 30.5
The answer is 30.5
Hope this helps!
Answer: you only add 4 each time
Step-by-step explanation:
Answer:
(0, -5) and (2, -1)
Step-by-step explanation:
Since both equations have already been solved for y, the substitution method is the easiest approach here. Set the two equations equal to each other:
y = 2x - 5 = x^2 - 5 = y
Focusing on the variable x only, we get 2x - 5 = x^2 - 5.
Adding 5 to both sides results in 2x = x^2.
Factoring this result, we get x(2 - x) = 0, whose solutions are
x = 0 and x = 2.
Now find the corresponding y-values:
If x = 0, then y = 2(0) -5, or y = -5;
If x = 2, then y = 2(2) - 5, or y = -1
Writing the solutions as coordinate pairs: (0, -5) and (2, -1)
