Answer:
your a very beautiful dumb.asss
Step-by-step explanation:
go give your self a bj
Answer: 29/139
Explanation:
Total student: 139 (66 boys/73 girls)
Football: 56 student (28 boy/28 girl)
Tennis: 54 student (27 boy/ 27 girl)
Running: 29 student (18 girls/11 boys)
The probability that a student chose running is 29/139
Answer:
![A=4.5u^2](https://tex.z-dn.net/?f=A%3D4.5u%5E2)
Step-by-step explanation:
The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.
The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):
![y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3](https://tex.z-dn.net/?f=y%3D3x%2C%20y%3Dx%5E2%5C%5C3x%3Dx%5E2%5C%5Cx%5E2-3x%3D0%5C%5Cx%28x-3%29%3D0%5C%5Cx_1%3D0%5C%5Cx-3%3D0%5C%5Cx_2%3D3)
![y_1=3x_1=3(0)=0\\y_2=3x_2=3(3)=9](https://tex.z-dn.net/?f=y_1%3D3x_1%3D3%280%29%3D0%5C%5Cy_2%3D3x_2%3D3%283%29%3D9)
The integral will be the subtraction of the curve
and
(In the graph you can see y=3x is the upper curve):
![\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2](https://tex.z-dn.net/?f=%5Cint%5Climits%5E3_0%20%7B3x-x%5E2%7D%20%5C%2C%20dx%20%3D%5Cleft%5Cfrac%7B3x%5E2%7D%7B2%7D-%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%7C%5E3_0%3D%5Cfrac%7B3%283%29%5E2%7D%7B2%7D-%5Cfrac%7B%283%29%5E3%7D%7B3%7D-%5Cleft%28%5Cfrac%7B3%280%29%5E2%7D%7B2%7D-%5Cfrac%7B%280%29%5E3%7D%7B3%7D%5Cright%29%5C%5C%5Cint%5Climits%5E3_0%20%7B3x-x%5E2%7D%20%5C%2C%20dx%20%3D%5Cfrac%7B27%7D%7B2%7D-%5Cfrac%7B27%7D%7B3%7D%20%3D13.5-9%3D4.5u%5E2)
Answer:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1
Step-by-step explanation:
Information given
n=310 represent th sample selected
X=28 represent the subjects wrong
estimated proportion of subjects wrong
is the value to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1