Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
Answer:
216°
Step-by-step explanation:
Conversion from Radians to degrees : -
( θ * 360 ) / π
θ = 3π / 5
θ = ( 3π / 5 * 360 / π )
= ( 3 * 360 * π ) / ( 5 * π )
= ( 3 * 360 ) / 5
= 3 * 72
θ = 216°
3 (x + 1) = 5 + x
First you must distribute the 3 to the values inside the parentheses:
3 (x + 1) = 5 + x
(3 * x) + (3 * 1) = 5 + x
3x + 3 = 5 + x
Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.
3x - x = 5 - 3
2x = 2
Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2x / 2 = 2 / 2
1x = 1
Check:
3 (1 + 1) = 5 + 1
3 (2) = 5 + 1
6 = 6
^^^This is true, therefore:
x = 1
Hope this helped!
~Just a girl in love with Shawn Mendes
