The square root of 343 is 18.520 or 18.52 or also 18
Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:


*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.
2x = 15 - 3x -- add 3x to both sides
5x = 15 -- divide both sides by 5
x = 3 -- simplest form
Given:
1 m : 25 cm
8 in : 1 ft
12 in : 1 ft
First, we convert each
variable given on the right:
1 m : 0.25 m (this means that
1 meter is made to represent 25 cm)
8 in : 12 feet (this means
that 8 in is made to represent 1 feet)
12 in : 12 in (this means
that 12 in is made to represent 1 feet)
<span>After converting the
variables, we can now know if the ratios are enlargement, reduction or
preservation. Therefore:
1 m : 25 cm = Enlarge</span>
<span>8 in : 12 feet = Reduce
12 in = 1 ft = Preserve</span>
Area of the full circle = π (13)² = 169π
Area of the sector = 80/360 x 169π = 118 ft²
Answer: 118 ft² (Answer D)