Answer:
The other 3 numbers you are looking for are:
24/11
84/11
96/11
Step-by-step explanation:
We can start off by making the numbers 2x, 7x, and 8x. We put them in expressions:
(7x-12)^2=2x(8x)
Simplify
49x^2-168x+144=16x^2
Subtract 16x^2 on each side
33x^2-168x+144=0
Divide by 3
11x^2-56x+48=0
Factor
(11x-12)(x=4)=0
Answer
x=4 or x=12/11
If x is equivalent to 4 then that means that the original numbers would be:
8, 28, 32
2(4), 7(4), 8(4)
Subtracting 12 from Y, or 28 will make it 16.
8, 16, 32
This seems to be a geometric progression
Next we have 12/11
2(12/11), 7(12/11), 8(12/11)
24/11, 84/11, 96/11
Subtracting 12 from Y, or 84/11 will get us -48/11, meaning r=-2 for the GP.
Final Answer:
8 , 28 , 32
24/11 , 84/11 , 96/11
Answer:
842.04 cm³
Step-by-step explanation:
Cylinder:
diameter = 6 cm
r = 6/2 = 3cm
h = 4 cm
Volume of cylinder = πr²h
= 3.14 * 3 * 3 * 4
= 113.04 cm³
Cube:
side = 9 cm
Volume of cube = side * side *side
= 9*9*9
= 729 cm³
Volume 0f composite figure = volume of cylinder + volume of cube
= 113.04 + 729
= 842.04 cm³
Answer:
The sequence converges to 1
Step-by-step explanation:
Given
Require
Description of the sequence
The given sequence follows:
i.e.
For every term,
In other words,
as the value of n increases, 
approaches 1
<em>Hence, (c) is true</em>
Answer:
the point estimate of the true proportion of employees is 0.401
Step-by-step explanation:
Given data
plan A = ( 0.241 , 0.561 )
to find out
the point estimate for estimating the true proportion of employees who prefer that plan
solution
we know that given data 98% confidence interval for the proportion of employees who prefer plan A: (0.241, 0.561) so point estimate for estimating the true proportion o employees who prefer that plan is p^E
and we can say here
lower limit = 
= 0.241 ..............1
upper limit = 
= 0.561 ...............2
now add these two equations 1 and 2
= +
= + = 0.241 + 0.561
2 p = 0.802
2p = 0.806
p = 0.401
So the point estimate of the true proportion of employees is 0.401
