Hello!
if x = -3, just substitute it for x (replace the x with -3)
2(-3) + 6 = 0
2 * -3 = -6
-6 + 6 = 0
I hope this helps, and have a nice day!
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
1-2 = -1
If that's what u mean