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
Answer:
please explain what you mean better
Step-by-step explanation:
Answer:
1. Yes
∆RST ~ ∆WSX
by SAS
2. Yes
∆ABC ~ ∆PQR
by SSS
3. Yes
∆STU ~ ∆JPM
by SAS
4. Yes
∆DJK ~ ∆PZR
by SAS
5. Yes
∆RTU ~ ∆STL
by SAS
5. Yes
∆JKL ~ ∆XYW
by SAS
6. No
7. Yes
∆BEF ~ ∆NML
by SAS
8. Yes
∆GHI ~ ∆QRS
by SSS
9. x=22
10. x=12
Step-by-step explanation:
1. RS/WS=ST/SX and m<RST=m<WSX
2. AB/PQ=8/6=4/3
BC/QR=AC/PR=12/9=4/3
AB/PQ=BC/QR=AC/PR
3. ST/JP=10/15=2/3
SU/JM=14/21=2/3
ST/JP=2/3=SU/JM
and m<TSU=70°=m<PJM
4. DK/PR=8/4=2
JK/ZR=18/9=2
DK/PR=2=JK/ZR
and m<DKJ=65°=m<PRZ
5. RT/ST=UT/LT
and m<RTU=m<STL
6. KL/YW=20/18=10/9
JL/XW=36/24=3/2
KL/YW=10/9≠3/2=JL/XW
7. BF/NL=24/16=3/2
BE/NM=39/26=3/2
BF/NL=3/2=BE/NM
and m<EBF=m<MNL
8. GH/QR=32/20=8/5
HI/RS=40/25=8/5
GI/QS=24/15=8/5
GH/QR=HI/RS=GI/QS=8/5
9. x/33=18/27
Simplifying the fraction on the right side of the equation:
x/33=2/3
Solving for x: Multiplying both sides of the equation by 33:
33(x/33)=33(2/3)
x=11(2)
x=22
10. x/16=9/12
Simplifying the fraction on the right side of the equation:
x/16=3/4
Solving for x: Multiplying both sides of the equation by 16:
16(x/16)=16(3/4)
x=4(3)
x=12
Step-by-step explanation:
2/5×7500
2×1500
3000
RM=3000