Answer:
Breadth = 8 cm
Length = 17 cm
Step-by-step explanation:
Given rectangle:
Breadth = x cm
Length = x + 9 cm
Area = length * breadth
= x * (x + 9)
= x² + 9x
Rectangle with length and breadth increased:
Breadth = x + 3 cm
Length = x + 9 + 3 = x + 12 cm
Area = 84 + (x² + 9x) cm²
(x +3) * (x +12) = 84 + x² + 9x
Use FOIL method
x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x
x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}
x² + 15x + 36 = 84 + x² + 9x
x² + 15x + 36 - 84 - x² - 9x = 0
6x - 48 = 0
6x = 48
x = 48/6
x = 8
Breadth = x = 8 cm
Length = x + 9 = 8 +9 = 17 cm
Answer:
(a) mean = 377.5ml. standard deviation = 4.33
(b) 0.333
(c) 384.25 ml
Step-by-step explanation:
(a)The mean:
The standard deviation:
(b)
(c)P(x > m) = 0.95
So the volumn of shampoo should be 384.25ml to exceed 95% of containers.
Answer:
10 yards
Step-by-step explanation:
Answer:
B) 360 cubes
Step-by-step explanation:
We can start by finding how many cubes fit into the length of the prism (1.5 in) which is 6 cubes for 1.5 in/ 0.25 in = 6.
Then we can find the number of cubes to fit the width of the prism (1 in) which is 4 cubes for 1 in/ 0.25 in = 4.
Finally we find that 15 cubes fit the height (3.75 in) for 3.75 in/ 0.25 in = 15 cubes.
Multiplying the together, we get 6*4*15=<u><em>360</em></u> or <u><em>B</em></u>
