Answer:
x = 31
Step-by-step explanation:
The given angles are supplementary and their sum is 180 degrees
5x - 16 + x + 10 = 180 add like terms
6x - 6 = 180 add 6 to both sides
6x = 186 divide both sides by 6
x = 31
Because the equation is a positive number lower than the original
Answer:
Part a) 
Part b) The expression that represent the cost of fencing the field is 
Part c) 
Step-by-step explanation:
<u>The complete question in the attached figure</u>
Part a) we know that
The perimeter of the rectangular field (excluding the width of the gate) is equal to

we have

substitute the given values


Part b) we know that
To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard
so

Part c) we have
h=5
substitute the value of h in the expression of the cost

Answer:
Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:
And the expected value is given by:

Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
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".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:
And the expected value is given by:
