The GCF (greatest common factor) of 35 and 63 is 7.
Answer:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
Step-by-step explanation:
For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
In this problem, we have that:
50 U.S residents are sampled, so 
4% of the U.S population has blood type AB, so 
.
What is the probability that exactly 2 of the U.S. residents have blood type AB?
This is P(X = 2). So:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
Answer:
y = 2
x = 50
Step-by-step explanation:
We can first find y by doing 12y+5 = 18y-7 since vertical angles are always congruent.
We want to combine like terms so we subtract 12y from both sides (what you do on one side needs to be done to the other) and we get 5 = 6y-7 and now we add 7 to both sides to get 12 = 6y.
Like I said we did this because we combine like terms!!!
Now we want to isolate the y and we do this by dividing 6 from both sides which lets us get 2 = y
Now that we know what y is we can plug it into any of the equations using y.
I plugged it into the top right equation cause it was easier.
12(2)+5
24+5
29!
That angle is 29!
Now that we know that we can begin solving for x.
The equation that has x + 29 make 180 degrees because it is a straight line so we use this to solve for x!
3x+1+29=180 (We want to start combining like terms now)
3x+30=180(Subtract 30 from both sides)
3x=150 (Isolate the x by dividing 3 from both sides)
x=50!
We can prove this is right by inserting x into it's expression. That tells us the angle is 151. Now we add 151+151+29+29 and we get 360!
Answer: 3/2
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Explanation:
Pick any two points on the red line. I'll pick (0,1) and (2,4)
Those coordinates will be plugged into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(2 - 0)
m = 3/2
This means we go up 3 and over to the right 2 when traveling along this red line.
