Answer:
3) ½ chance
4) 60 times
Step-by-step explanation:
<h3><u><em>
3) Theoretically, if the spinner is spun 150 times</em></u></h3><h3><u><em>
how many times would you expect to get an</em></u></h3><h3><u><em>
even number?</em></u></h3>
<u><em></em></u>
There are 12 equal sections, getting an even numbers is a ½ chance. ( same as odd numbers)
The probability is ⁶⁄₁₂ or ½.
In addition, this is theoretical probabilty, it doesn't require experiments.
<h3><u><em>
4) Based on the experiment, if the spinner is</em></u></h3><h3><u><em>
spun 150 times, how many times would you</em></u></h3><h3><u><em>
expect to get an even number?</em></u></h3>
Getting a 2: ⁴⁄₆₀ or ¹⁄₁₅
Getting a 4: ³⁄₆₀ or ¹⁄₂₀
Getting a 6: ⁷⁄₆₀
Getting a 8: ³⁄₆₀ or ¹⁄₂₀
Getting a 10: ⁵⁄₆₀ or ¹⁄₁₂
Getting a 12: ²⁄₆₀ or ¹⁄₃₀
Chance of picking a even number using 60 tries:
⁴⁄₆₀ + ³⁄₆₀ + ⁷⁄₆₀ + ³⁄₆₀ + ⁵⁄₆₀ + ²⁄₆₀ = ⁴ ⁺ ³ ⁺ ⁷ ⁺ ³ ⁺ ⁵ ⁺ ²⁄₆₀ = ²⁴⁄₆₀ or ⅖
Picking a even number using 150 tries:
⅖ · 150 = 60 times
Use the 30* 60* 90* rule where
30* = x, 60* = x√3, 90* = 2x
so based on the given,
2x = 6√3 ⇒ divide both sides by 2 and you'll end up with
x = 3√3 (the length side of JK)
to find JL, multiply 3√3 by √3 and the answer'll be 9 = length of JL, opp of 60*
