78.3-54.6=23.7, which means the answer is 23.7.
Answer:
0.001
Step-by-step explanation:
So... errr... brainly doesn't allow cheating but i want to help so... here:
10^(-n)= 1/(10^n) following this, 10^-3=1/10^3 = 1/1000 = the second option (0.001)
Answer:
Event is not unusual(p>0.05).
Step-by-step explanation:
Given that :
![p=0.10\\\\n=1100\\\\x=121](https://tex.z-dn.net/?f=p%3D0.10%5C%5C%5C%5Cn%3D1100%5C%5C%5C%5Cx%3D121)
#The sample proportion is calculated as:
![\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7Bx%7D%7Bn%7D%5C%5C%5C%5C%3D%5Cfrac%7B121%7D%7B1100%7D%5C%5C%5C%5C%3D0.1100)
#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :
![z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%3D%5Cfrac%7B0.11-0.10%7D%7B%5Csqrt%7B%5Cfrac%7B0.10%281-0.10%29%7D%7B1100%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D1.1055)
#We use the normal probability table to determine the corresponding probability;
![P(X\geq 121)=P(Z>1.1055)\\\\=0.1314](https://tex.z-dn.net/?f=P%28X%5Cgeq%20121%29%3DP%28Z%3E1.1055%29%5C%5C%5C%5C%3D0.1314)
Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Answer:
J < T - 5
Step-by-step explanation:
T = The number of juice boxes Thomas had
J = The number of juice boxes Thomas gave to his sisters
Thomas had 12 juice boxes
T = 12
He gave some to his sisters he now has more than 5 left.
T - J > 5
-J > 5 - T
J < -5 + T
J < T - 5
Answer:
GH=12
Step-by-step explanation:
Definition of a perpendicular Bisector: a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.
Therefore it divides the line GI into two equal parts. That means that GH=HI and it was given that HI=12.