Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
20%
Step-by-step explanation:
p(outcomes)=#of favourable outcomes/#of possible outcomes
=1/5
=0.2
=20%
The alpha level should always be set to 0.05.
The supplied statement;
How should you select the alpha() level when doing a significance test in practice,
⇒ Use a higher alpha when the consequences of wrongly rejecting the null hypothesis are more severe. Select alpha () = 0.05 in every situation since it is the best option. Use a smaller alpha when the consequences of wrongly rejecting the null hypothesis are more severe.
To learn more about significance test click here:
brainly.com/question/12972662
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Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,
a. The conditional probability that 3 is rolled given that the roll is greater than 1? 
b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? 
c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? 
d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? 
