Answer: 4
Step-by-step explanation: Slopes that are perpendicular to each other are opposite reciprocals. So take the opposite of the sign, negative or positive. Then flip the numerator and the denominator. -1/4 goes to +1/4 goes to +4. Hope this helps!
For the first, simply plug in the value of x given (x = 2) into the equation: 
So, 8 would be your answer.
For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.
For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.
Answer:
probability of x is 0.22 correct to two decimal places
Step-by-step explanation:
step 1. use the poisson formula given as
p(x) = (λˣe∧-λ) ÷x! where λ is the mean and it called lambda,λ = 3, e is mathematical constant and it approximately = 2.7183, x is the chosen value which is equal to 2, Λ is raise to power, ! is factorial sign
p(x=2) =( 3² x 2.7183⁻³) ÷ 2! = 0.22
2w+2(5+2w)=33
2w+10+4w=33
6w=22
w=11/3 or 3 and 2/3