Answer:
x=![\sqrt{338}](https://tex.z-dn.net/?f=%5Csqrt%7B338%7D)
Step-by-step explanation:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
![x^2+x^2=](https://tex.z-dn.net/?f=x%5E2%2Bx%5E2%3D)
![26^2](https://tex.z-dn.net/?f=26%5E2)
![2x^2=26^2](https://tex.z-dn.net/?f=2x%5E2%3D26%5E2)
![2x^2=676](https://tex.z-dn.net/?f=2x%5E2%3D676)
/2 /2
![x^2=338](https://tex.z-dn.net/?f=x%5E2%3D338)
![\sqrt{x^2} =\sqrt{338}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%20%3D%5Csqrt%7B338%7D)
x=![\sqrt{338}](https://tex.z-dn.net/?f=%5Csqrt%7B338%7D)
Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
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.
A point on the graph (for train b) that is exact is (2,250). From the origin, the rise is 250 and the run is 2. Rise/run would give us 250/2, which is 125. This means that train B travels 125mi every hour. For train A, we subtract the distance from hour 2 from hour 3 to get the miles per hour (because 3-2=1, subtracting the distance of hour 3 from 2 will give us the distance in 1 hour). 180-120= 60, meaning train A travels at 60mph. 60<125, meaning A
Answer:
m = -4
b = -12
Step-by-step explanation:
First, identify the slope-intercept form:
y = mx + b
y = -4x - 12
Whereas m = slope and b = y-intercept.
Slope is the steepness of the line.
The y-intercept is where the line intersects the y axis.