Answer:
x = -33
Step-by-step explanation:
2/3(x+6)=-18
Multiply each side by 3/2
3/2*2/3(x+6)=-18*3/2
x+6 = -27
Subtract 6 from each side
x +6-6 = -27-6
x = -33
Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
$24.5 = 1 tank
Step-by-step explanation:
All you have to do is multiply.
Since 12.5 gallons = 1 tank,
and $1.96 = 1 gallon
to get the answer, the equation would be,
$1.96*12.5 = 1 tank
$24.5 = 1 tank
Hope it helps!!
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is

The y-intercept or initial value is

substitute

Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T

