Answer:
0.1019
Step-by-step explanation:
Probability, p=12%=0.12
Sample size, n=130 students
Those writing with left=14 students
Using the formula for binomial distribution
P(X≤x)=![\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%5Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D)
Substituting 0.12 for p, 130 for n, 14 for x we obtain
P(X≤x)=![\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7D130%5C%5C14%5Cend%7Barray%7D%5Cright%5D0.12%5E%7B14%7D%281-0.12%29%5E%7B130-14%7D)
P(X≤x)=
P(X≤x)=0.1019
2(x-5)=20
Divide both sides by 2 (division of property equality)
x - 5 = 10
Add 5 to both sides (addition of property equality)
x = 15
Answer
x = 15 is the solution
Answer:
Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.
Step-by-step explanation:
The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.
Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)
