Heya!!!
Answer to your question:
Let Adam's points be x.
Nick has points =7200=20%of x+x
20/100 *x + x=7200
x/5 +x=7200
6x/5=7200
x= 7200*5/6
x=6000
Adam has 6,000 points.
Hope it helps *_*
Slope intercept is basically solve for y
y=mx+b
m=slope
b=yintercept
-3x-10y=7
add 3x to both sides
-10y=3x+7
divide both sides by -10
y=-3/10x-7/10
slope is -3/10
yintercept is -7/10 or at point (0,-7/10)
Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees