Just subsitute 8 for n
1/2(8)^2-1/2(8)
1/2(64)-4
32-4
28
D
We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is

first term is 1
last term is 100
there are 100 terms so n=100
so the sum is


S=5050
now you want us to divide by 10
5050/10=505
fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up
answer is 505
the result is 505
Answer: 
Step-by-step explanation:
All radii of a circle are congruent, so by the base angles theorem
Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.
Answer:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
For this case we want this probability:

And we can use the complement rule like this:
And we can find the individual probabilities like this:


And in order to do the operations we can use the following excel code:
"=1-BINOM.DIST(8,25,0.3089,TRUE)"
And we got:

Step-by-step explanation:
lines which do not intersect are always parallel and the answer will be parallel lines only...