Answer:
a. B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.
b. A. A relative frequency is the same as a percentage expressed as a decimal.
Step-by-step explanation:
Frequency is the number of repetitions of a particular observation.
Relative Frequency is the ratio of the frequency of particular observation to the sum of frequencies of all the observations.
The percentage is the proportion of the whole.
Thus, In question (a)
Option B is the only correct answer.
and in question (b)
Option A is the only correct answer.
Answer:
area = 110.72 m²
Step-by-step explanation:
area of square = 8 x 9 = 72 m²
area of triangle = 1/2 x 3 x 9 = 13.6 m²
area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²
total area = 72 + 13.6 + 25.12 = 110.72 m²
Answer: The building is 316.1 feet tall
Step-by-step explanation: Please refer to the attached diagram for details.
Based on the information provided, Neta is at point W, and looks at the top of a building from an angle of elevation measuring 56 degrees and then looks down to the bottom of the building at an angle of depression measuring 32 degrees. The top of the building is point T while the bottom is point B. A line separating angles 56 and 32 is drawn to point M along the line TB. So we now have two right angled triangles, WTM and WBM. In effect, the length of the building which is line TB has been divided into lines x and y.
From triangle WTM, using angle 56 as the reference angle, we calculate x as;
TanW = opposite/adjacent
Tan56 = x/150
By cross multiplication we now have
Tan56 (150) = x
1.4825 (150) = x
x = 222.375
Also, from triangle WBM, using angle 32 as the reference angle, we calculate y as,
TanW = opposite/adjacent
Tan32 = y/150
By cross multiplication we now have
Tan32 (150) = y
0.6249 (150) = y
y = 93.735
Therefore the entire length of the building can be derived from x + y
Length = x + y
Length = 222.375 + 93.735
Length = 316.11
To the nearest tenth of a foot, the building is 316.1 feet tall.
Alright, lets get started.
The cost of model train = $ 50 (given in question)
markup percentage is given = 30 %
Markup price is asked.
The formula for markup price = cost + cost * markup percent
Hence , the markup price = 50 + 50 * 30%
The markup price = 50 + 50 * 0.3
The markup price = 50 + 15
The markup price = 65 $ : Answer
Hope it will help :)