The table shows how many males and females attended two different movies. How would you find the joint relative frequency of bei
ng male and attending a drama movie?
Action Drama Total
Male 105 124 229
Female 99 151 250
Total 204 275 479
A. Divide 124 by 275.
B. Divide 124 by 229.
C. Divide 229 by 275.
D. Divide 124 by 479.
Action Drama Total
Male 105 124 229
Female 99 151 250
Total 204 275 479
A. Divide 124 by 275.
B. Divide 124 by 229.
C. Divide 229 by 275.
D. Divide 124 by 479.
2 answers:
Answer:
B. Divide 124 by 229.
Step-by-step explanation:
Given the table
The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.
The total number of males
The number of males that like drama
So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.
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Answer:
A. by the SAS postulate.
Step-by-step explanation:
We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.
We can see that side DF of triangle DEF is equal to side AC of triangle ABC.
We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.
The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.
Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
We can convert sec(α) to 1 / cos(α):
Multiply both layers of the first fraction by cos(α):
Create a common denominator. We can multiply the first fraction by (1 - cos(α)):
Simplify:
From the Pythagorean Identity, we know that cos²(α) + sin²(α) = 1 or equivalently, 1 - cos²(α) = sin²(α). Substitute:
Subtract:
Distribute:
Rewrite:
Split:
Factor the second fraction, and substitute sin²(α) for 1 - cos²(α):
Factor:
Cancel:
Divide the second fraction by cos(α):
Hence proven.