Answer
A. O.8743874374387438743....
Step by step explanation
Let's take a = O.8743874374387438743....
10a = 8.743874374387438743....
Similiarly,
10000a = 8743.874374387438743....
Since four decimal places are repeating.
Now subtract a from 10000a
10000 a - a = 8743.874374387438743.... - O.8743874374387438743....
9999 a = 8743
a = 8743/9999
8743/9999 = O.8743874374387438743....
That's it.
Hope you will understand the concept.
Thank you.
Answer:
4/1000
Step-by-step explanation:
the value of 4 is 0.004 which in fraction form is 4/1000
Answer: 8 m/s
First let’s convert the time to seconds. There are 69 seconds in a minute so 1 minute and 40 seconds is 60 +40 second which totals to 100 seconds
Now to get the speed in meters per second we divide the total meters run by the total seconds
So the speed will be 800m/100s = 8m/s
Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.

Answer:



Step-by-step explanation:

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.

Now we are read to write that one part (the first three terms together) as a square:

I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

They put it in ( )

I'm going to go ahead and combine those fractions now:

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

I'm going to square root both sides to rid of the square on the x+b/(2a) part:


Now subtract b/(2a) on both sides:

Combine the fractions (they have the same denominator):
