Answer:
4n²+2n as a factorial is given as:
Step-by-step explanation:
We are given an expression which has to be converted into factorial form.
The expression is as follows:
Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.
Hence, multiplying and dividing by '(2n-1)!'; we get:
we know that x(x-1)(x-2)! = x!, so:
Answer:
The correct statements are: B and D.
Step-by-step explanation:
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
Then the standard deviation (S.D.) is given by,
The correct statements are:
B. It is a measure of variability.
D. It is calculated using the mean.
Answer:
The scale that Leon used to create the scale drawing is 1:72.
Step-by-step explanation:
Given that Leon created a scale drawing of the school library in his art class, and in the scale drawing, the length of the library is 13 inches while the length of the actual library is 78 feet, to determine which scale did Leon use to create the scale drawing of the school library, the following calculation must be performed:
1 foot = 12 inches
78 feet = 12 x 78 = 936 inches
936/13 = 72
So, the scale that Leon used to create the scale drawing is 1:72.
Answer:
(D)A right triangle with acute angles measuring 45° and 45°
Step-by-step explanation:
The triangles created by the measurements in Options A, B and C have specified lengths of the sides. Therefore, not more than one triangle can be created.
However, for a triangle with acute angles measuring 45° and 45°, an uncountable number of similar triangles (triangles with same shape but different sizes) can be created.
<u>The correct option is D.</u>
