What is the value of the missing angle?a, 50b, 60c,100d,250
1 answer:
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In a <em>two-way frequency table</em>, the marginal frequencies is the 'total' entry for the row and the 'total' entry for the column
The result of the data organized in a <u>two way table</u> with the <u>marginal frequency</u> included is as follows;
The reason the above table is correct is as follows:
The known parameters are;
Number of students in the survey, <em>U</em> = 284 students
The number of students that use a laptop, <em>n(L) </em>= 112
The number of students that also use a tablet, <em>T ∩ L</em> = 49
The number of students that do not use a laptop or a tablet, = 97
Required:
To organize the result of the survey in a two-way table
Solution:
U = + n(T ∪ L)
Therefore;
n(T ∪ L) = U -
n(T ∪ L) = 284 - 97 = 187
n(T ∪ L) = 187
The number of students that use only a laptop = n(L) - n(T ∩ L) = 112 - 49 = 63
The number of students that use only a laptop <em>[n(L) - n(T ∩ L)] </em>= 63
n(T ∪ L) = n(T) + n(L) - n(T ∩ L)
n(T) = n(T ∪ L) - [n(L) - n(T ∩ L)]
n(T) = 187 - 63 = 124
The number of students that use only tablets = n(T) - n(T ∩ L) = 124 - 49 = 75
The number of students that use only tablets, [n(T) - n(T ∩ L)] = 75
The results are organized in the attached two way table and the marginal frequencies are the <u>numbers underlined</u> in the totals column
Learn more about marginal frequencies here:
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
To find:
Side
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
Putting all the values:
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
