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%.
Answer:
Option 3 is the best option that compares the pair of intersecting rays with the angle
Step-by-step explanation:
The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.
A ray is a line segment that has only one end point and is extended infinitely in a unique direction
So Yeah. :) Hope I've helped
Answer:
x + Y = 39 or x = 39-y
20x + 50y = 1.40
20 (39 - y) + 50y = 11.40
7.80 - 20y + 50y = 11.40
30y = 11.40 - 7.80
30y = 3.60
y = 3.60/30
y = 12 50p coins were collected.
x = 39 - 12 = 27 20p coins were collected.
Proof:
20*27 + 50*12 = 11.40
5.40 + 6 = 11.40
11.40 = 11.40
I hope it helps.
Answer:
d
Step-by-step explanation:
if I divide the units of the scaled rectangle by the original you will get
Answer:
<em>x = 1</em>
<em>y = 1</em>
Step-by-step explanation:
<u>System of Equations</u>
We are given the system of equations:
2x + y = 3
x = 2y - 1
Substituting x in the first equation:
2(2y - 1) + y = 3
Operating:
4y - 2 + y = 3
5y = 3 + 2
y = 5/5 = 1
y = 1
Since:
x = 2y - 1
Then:
x = 2(1) - 1
x = 1
Solution:
x = 1
y = 1
