Answer:
The answer is:
{0,1,4,34,123}
Step-by-step explanation:
A set is merely a collection of elements or members.
In the given question we have to arrange the elements in numerical order in proper set notation.
Set notation involves writing the elements with curly brackets.
Thus the answer would be:
{0,1,4,34,123}
These numbers are in order from least to greatest and within braces; this is set notation....
5X^2 - 45
5(X^2 - 9)
5(X - 3)(X + 3)
4X^2 - 324
4(X^2 - 81)
4(X - 9)(X + 9)
If these were the given choices:
A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line.
B. The popcorn bag assembly line is closer to the specifications given because its z-score is further from the standard mean than the potato chip bag assembly line.
C. The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn bag assembly line.
D. The potato chip bag assembly line is closer to the specifications given because its z-score is further from the standard mean <span>than the popcorn bag assembly line.
My answer is: </span>A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato <span>chip bag assembly line.
Given:
Ave.weight of a bag of popcorn - 3.02 oz
allowable deviation - 0.02 oz
Ave. weight of a bag of potato chips - 5.03 oz
allowable deviation - 0.04 oz
Actual weight of bag of popcorn - 3.03 oz
Actual weight of bag of potato chips - 5.06 oz
The allowable deviation is very minimal in a bag of popcorn thus its z-score is nearer to the standard mean as compared to the bag of potato chips. </span>
Volume is a three-dimensional scalar quantity. The volume of the space between the cylinder and the two cones is 1184.43183 cm³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the circumference of the base is 61 cm, therefore, the radius of the base will be,
Circumference = 61 cm
2πR = 61
R = 61/(2π) = 9.70845 cm
The volume of the cylinder(Outside shell) can be written as,
Volume = πR²×H
= π× (9.70845)² ×12
= 3553.29326 cm³
The volume of the two identical cones will be,
The volume of the cone = 2× (1/3) × π × R² × H
= (2/3)×π×(9.70845²)×12
= 2368.86143 cm³
The volume of the space between the cylinder and the two cones is,
The volume between space = 3553.29326 cm³ - 2368.86143 cm³
= 1184.43183 cm³
Hence, the volume of the space between the cylinder and the two cones is 1184.43183 cm³.
Learn more about Volume:
brainly.com/question/13338592
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Answer:
D. 1x9x4
Step-by-step explanation:
V= l x w x h
