It would be: 18/15 * 100 = 1800/15 = 120%
Answer:
x = 7, x = -10
Step-by-step explanation:
Use the quadratic formula.
Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
Answer:
Step-by-step explanation:
Given are 3 data sets with values as:
(i) 8 9 10 11 12 ... Mean =10
(ii) 7 9 10 11 13 ... Mean =10
(iii) 7 8 10 12 13 ... Mean =10
We see that data set shows mean deviations as
(i) -2 -1 0 1 2
(ii) -3 -1 0 1 3
(iii) -3 -2 0 2 3
Since variance is the square of std deviation, we find that std deviation is larger when variance is larger.
Variance is the sum of squares of (x-mean). Whenever x-mean increases variance increases and also std deviation.
Hence we find that without calculations also (i) has least std dev followed by (ii) and then (iii)
(i) (ii) (iii) is the order.
b) Between (i) and (ii) we find that 3 entries are the same and 2 entries differ thus increasing square by 9-4 twice. But between (ii) and (iii) we find that
increase in square value would be 4-1 twice. Obviously the latter is less.
Answer:
Step-by-step explanation:
The formula for determining the the volume of a rectangular base pyramid is expressed as
Volume = 1/3 × base area × height
From the information given,
Length of base = 9 cm
Width of base = 4.6 cm
Area of base = 9 × 4.6 = 41.4 cm²
Volume of pyramid = 82.8cm³
Therefore
82.8 = 1/3 × 41.4 × height
82.8 = 13.8 × height
Dividing both sides of the equation by 13.8, it becomes
height = 82/13.8
Height = 5.94 8 cm
