Response: Annabelle is employing the statistical concept known as Mode.
Detailed explanation: A central tendency measure, in its most basic sense, is a singular value or measure that effectively represents all elements of a particular data set. As such, one number can serve to essentially represent 99 other numbers in a data set of one hundred figures.
Commonly acknowledged measures of central tendency include mean, median, and mode.
The mode denotes the value that appears most often in a data set. Therefore, the modal value is statistically suitable as a representative of the entire group of values or data points.
If Annabelle measures the sides of 15 right triangles and concludes that the sum of the squares of the two legs is equal to the square of the hypotenuse for any right triangle, she is identifying the most frequently occurring value, and in her analysis, the most common data observed aligns with the Pythagorean Theorem.
This is why Annabelle's assumption is made with confidence.
Answer:
Step-by-step explanation:
The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Thus, Hypotenuse^2 = 244^2 + 119^2
Hypotenuse^2 = 59536 + 14161
Leading to Hypotenuse = √73697 = 271.5 yards.
cos θ = adjacent side/hypotenuse
cos θ = 119/271.5 = 0.4383
Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees
The remaining angle is
90 - 64 = 26 degrees
Answer:
a. the class with the highest number of observations.
Step-by-step explanation:
The mode refers to the value within a dataset that appears most frequently. This indicates that it occurs with greater frequency than other values.
In a histogram, the modal class denotes the category that has the most observations, demonstrating that the variables in that category have a higher occurrence than those in others. Consequently, the answer sought is option a.
The telescope’s cost is $91
4.55 divided by 5% (0.05) equals 91.
