Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.
The cube has 6 sides, each a square with dimensions 3 by 3,
the area of any of these squares is 3*3=9 square units.
The total area of the cube is 6*9 square units=54 square units
The volume of a cube with side length a is given by :

, thus the volume of the cube-shaped cell is 3*3*3=27 cube units.
(surface area):(volume)=54:27 = 2:1 =2
Answer:
the ratio of the numerical values is 2
(their ratio including units is 2/unit
The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1
Thus, the ratio of the surface areas of the similar solids is 25:1.
Answer:
a. 12
b. 7.200 and 2.683
Step-by-step explanation:
The computation is shown below:
Given that
P = 0.40 and n = 30
a)
The expected value of received e-mails is
= n × p
= 30 × 0.4
= 12
b)
The variance of emails received is
= n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.200
Now
The standard deviation of emails received is
= sqrt(variance)
= 2.683
We simply applied the above formula