So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x:
Firstly, solve the parentheses:
Next, multiply 36 pi and x:
Next, subtract 24 pi on both sides:
Lastly, divide both sides by 36 pi, and your answer will be , or B.
Step-by-step explanation:
Confidence interval = 90% = 0.90.
1 - 0.90 = 0.10
Mean of 15 batch:
724+718+776+760+745+759+795+756+742+740+761+749+739+747+742 = 11253/15
= 750.2
Mean of second batch:
735+775+729+755+783+760+738+780
= 6055/8
= 756.875
Sd = 20
Z-alpha/2 = 1.64
= (750.2-756.875)-1.64*√20²/15 + 20²/8
= -21.0348
(750.2-756.875)+1.64*√20²/15 + 20²/8
= 7.68
2. The upper limit of the interval is less than 10 so in conclusion the difference in mean batch viscosity is about 10 or less than 10
Answer: c
This system has infinitely many solutions.
Step-by-step explanation:
Solve by substitution:
1) Solve for :
2) Substitute for in :
3) Simplify both sides of the equation:
Therefore, This system has infinitely many solutions.
Solve by elimination:
You can't solve this system of equations by elimination.
Solve by graphing:
The lines are directly on top of each other, Therefore there are infinitely many solutions.
Answer:
- 127.3
- 52.7
- 127.3
- 52.7
Step-by-step explanation:
Since we know the angle measure of angle 4, we already know that angle 2 will have the same measure according to do the vertical angle theorem. Now to find angles 1 and 3, we can make an equation and solve for x (supplementary angles).
52.7 + x = 180
x = 127.3
Best of Luck!