Answer:
when # cats exceeds 2,313
Step-by-step explanation:
if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.
Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
Given:
The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
To find:
The perimeter of quadrilateral ABCD.
Solution:
Distance formula:

Using the distance formula, we get





Similarly,




And,


Now, the perimeter of the quadrilateral ABCD is:



Therefore, the perimeter of the quadrilateral ABCD is 20 units.
Answer:
4 Cubes
Step-by-step explanation:
A box 4 cm by 6 cm by 8 cm is painted on all six faces.
The volume of the box = L × B × W
V = 4 × 6 × 8 = 192 cm³
The box cut into cubes with the 2 cm sides.
Volume of the 2 cm cube = 2 × 2 × 2 = 8 cm³
The number of cubes from the box = 
= 24 cubes
There would be 4 cubes in the middle would be painted only one side.
Periphery cubes of the box are painted on two or more sides.
Answer:
Step-by-step explanation:
Here's an example:
x^2 + 6x + 9 = 0
First factorise it:
(x + 3)(x + 3) = 0
So the solution is x = -3 (multiplicity 2)
That is there are 2 roots both -3.