Answer:
An individual's effective tax rate represents the average of all tax brackets that their income passes through as well as the total of all deductions and credits that lower their total income to their taxable income.
Step-by-step explanation:
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:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
Step-by-step explanation:
Solution,
According to question,
Length= 12 cm
Breadth= (12-2) cm= 10 cm
Now,
By using the formula of area of rectangle, we get
Area of rectangle= Length×breadth
Area of rectangle=12 cm×10 cm
Area of rectangle=120 cm²
Hence, the area of the rectangle is 120 cm².