11x9=99
11x7=77
7x5/2=35/2
99+99+77+35/2+35/2= 310
11x7=77
7x5/2=35/2
99+99+77+35/2+35/2= 310
Two less than the quotient of a number and 3 is 17. What is the number? Let n be the unknown number. The equation is . The numbe
1 answer:
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Answer:
$34,816.60
Step-by-step explanation:
The computation of the maximum amount of cash should willing to pay for the copy machine by using the present value is shown below:
Present value is
where,
Incremental cash flows is $14,000 per year
Discount rate is 10%
And, the number of years is three years
PVIFA factor for 10% at 3 years is 2.4869
Refer to the PVIFA factor table
Now placing these values to the above formula
So, the present value is
= $34,816.60
Answer:
And we can find the individual probabilities like this:
And replacing we got:
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:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
For this case we want this probability:
And for this case we can use the comlement rule and we got:
And we can find the individual probabilities like this:
And replacing we got:
The measure of angle <em>x </em> is 31 degrees.
See the attached drawing.
Start at the bottom, at the given 59° angle, and work your way up in the direction toward the angle <em>x </em>.
