The lawyer makes approximately $11,656.67 a month. Hope this helps!
4 * (25 * 1.2) = (4 * 25) * 1.2
Answer:
i)The correct option is D.) 99.74%
ii) The correct option is B.) 68.26%
Step-by-step explanation:
i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40
)/10 ) = Pr(−3≤Z≤3)
= 0.9987 - 0.0013 = 0.99734
Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%
ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6
)/0.5) = Pr(−1 ≤Z ≤1)
)
= 0.8413 − 0.1587 = 0.6826
Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%
Answer:converge at ![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
Improper Integral I is given as
![I=\int^{\infty}_{3}\frac{1}{x^2}dx](https://tex.z-dn.net/?f=I%3D%5Cint%5E%7B%5Cinfty%7D_%7B3%7D%5Cfrac%7B1%7D%7Bx%5E2%7Ddx)
integration of
is -![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
![I=\left [ -\frac{1}{x}\right ]^{\infty}_3](https://tex.z-dn.net/?f=I%3D%5Cleft%20%5B%20-%5Cfrac%7B1%7D%7Bx%7D%5Cright%20%5D%5E%7B%5Cinfty%7D_3)
substituting value
![I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%20%5Cfrac%7B1%7D%7B%5Cinfty%20%7D-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=-\left [ 0-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%200-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
so the value of integral converges at ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Multiply each number. Remember that when multiplying a negative and positive number, the outcome will be negative
7 x -5 = -35
-35 x 4 = -140
-140 is your answer
hope this helps