1 answer:
Relative frequency are used to represent frequency in percentages or decimals
The relative frequency of people who saw a movie at night is
<h3>How to determine the relative frequency</h3>From the table, we have:
Evaluate the sum
Night = 60
The relative frequency (RF) is then calculated as:
RF = 60/100
Evaluate the quotient
RF = 0.60
Hence, the relative frequency of people who saw a movie at night is 0.60
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Answer:
c = 13.2
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ ABC
# Side a is opposite to ∠A
# Side b is opposite to ∠B
# Side c is opposite to ∠C
- The sine rule is:
#
* Lets solve the problem
- In Δ ABC
∵ m∠A = 16°
∵ m∠B = 49°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 16° + 49° + m∠C = 180°
∴ 65° + m∠C = 180° ⇒ subtract 65° from both sides
∴ m∠C = 115°
- Lets use the sine rule to find c
∵ a = 4 and m∠A = 16°
∵ m∠C = 115°
∵
- By using cross multiplication
∴ c sin(16) = 4 sin(115) ⇒ divide both sides by sin(16)
∴
* c = 13.2
x = -5 or x=11
since |3 - 11| = |-8| = 8