In mathematics, the order of operations and mathematical conventions are vital to ensure the correct solution of equations. This includes principles like scientific notation for handling large or small numbers, and dimensional analysis for ensuring the validity of equations involving different units of measurement.
The order of operations and mathematical convention are fundamental in accurately solving mathematical equations or expressions. This involves following certain rules, such as the use of scientific notation or the principles of dimensional analysis, to ensure equations and operations are performed correctly and yield valid results.
Take for example scientific notation, used for expressing very large or small numbers. When multiplying two numbers expressed in scientific notation, the process is simplified: you multiply coefficients and add exponents. E.g., (3 × 105) × (2 × 109) = 6 × 1014.
Alternatively, dimensional analysis is a technique used to check the validity of equations involving mathematical operation on quantities. It works on the premise that the units of these quantities have to undergo the same mathematical operations as their numbers. This ensures consistency and coherence of dimensions and units in the expression or equation, preventing impossible situations such as adding length to time.
#SPJ12
Answer:
3:2:1
Step-by-step explanation:
Answer
Relative risk= 0.742
Odds ratio= 0.745
Detailed calculation shown in diagram:
Answer:
30 cm
Step-by-step explanation:
The first one it says 4cm. That means all sides equal to 4 cm.
The second one it says 5 cm. That means all sides equal to 5 cm.
Lets do the second shape.
Since you see 6 sides with 5cm.
You do 6 times 5. Which equals to 30.
You add the label, so 30cm.
Based on the constraints and objective function that apply to the business student at Nowledge College, the set of linear equations are:
Assume the number of business courses to be x and the number of nonbusiness courses to be y.
The total cost of both need to be less than $3,000 so the inequality is:
60x + 24y ≤ 3,000.
Both courses need to be at least 65 if the student wants to graduate so:
x + y ≥ 65
Business courses should be equal to or more than 23 and nonbusiness courses should be greater than or equal to 20 so:
x ≥ 23
y ≥ 20
Find out more on linear equations at brainly.com/question/12788590.
Answer:
69
Step-by-step explanation:
the distance of the shortest route from home to work to the nearest block?
(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimals
until the very end of the problem).
HELP PLEASE I have no idea how to do this
The distance between two points on a plane can be found by Pythagoras's theorem.
The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.
Reason:
The shortest distance between two points is a straight line.
The shortest route to her workplace are the routes that approximate a straight line the most.
Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;
Taking the route that passes close to the center of the map to her workplace ,gives;
Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)
Path 2 = √(1² + 2²) = √5
Path 3 = 1 + 1 = 2
Path 4 = √(2² + 3²) = √13
Path 5 = 3
Cumulativedistance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3
Taking the route to the left of the above route, gives;
Path 1 = √(2² + 4²) = 2·√5
Path 2 = 7 + 6 = 13
Cumulative distance = 2·√5 + 13 ≈ 17.5
Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks = 2.5 blocks shorter
Learn more here:
far in this billing cycle is shown on the dot plot.
Text Messages Per Day
O The data is symmetric and shows that he typically sent
about 6 to 8 text messages per day.
o The data is symmetric and shows that he sent 11 or 12
texts with the same frequency that he sent 1 or 2 texts.
O The data is skewed and shows that he typically sent
about 6 to 8 text messages per day.
O The data is skewed and shows that he sent 11 or 12
texts with the same frequency that he sent 1 or 2 texts.
2 3 4 5 6 7 8 9 10 11 12 13
*see attachment for the dot plot being referred to
Answer:
The data is symmetric and shows that he typically sent about 6 to 8 text messages per day
Step-by-step explanation:
The distribution of the data set on a dot plot can be said to be symmetric when most of the data points in the data are located or are concentrated at the center of the dot plot.
As we can observe from the given dot plot in the attachment, it shows that 6 to 8 text messages per day have more frequencies and are just right at the center of the dot plot. This shows the data is symmetric.
This also shows that Reza dents averagely 6 - 8 text messages per day. Reza can be said to have typically sent 6 - 8 text messages per day.
The rest statements about the dot plot are untrue.