Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
Answer:
D. is used to reveal an underlying pattern in the data.
Step-by-step explanation:
Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.
Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.
Choice B) Commutative Property is the answer
The commutative property of addition says that we can add two numbers in any order. For example: 2+3 = 5 and 3+2 = 5.
In general, the rule can be written as x+y = y+x. The x and y are simply placeholders for numbers. You can think of them as empty boxes to write a number inside. In this case, we have 7.2 for one of the boxes and -5.5 as the other value in the other box.
Hello there, this problem is just basic addition, here is what it would look like
Solve it and we get 78.21
