Answer:

And if we find the individual probability we got:

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, 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 we want to find this probability:

And we can use the complement rule and we got:

And if we find the individual probability we got:

And replacing we got:

Answer:
The value of θ is 20.105°
Step-by-step explanation:
Consider the provided information.
A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal.
Sine of angle is force over weight.

Substitute F = 5500 pounds and W = 16,000 pounds in above formula.



Hence, the value of θ is 20.105°
The solution to the equation is (-5,-8)
6x^5 - 11x^4 - 10x³ - 54x³ + 99x² + 90x
6x^5 - 11x^4 + (-10x³ - 54x³) + 99x² + 90x collect like terms
6x^5 - 11x^4 - 64x³ + 99x² + 90x simplify
hope this helps, God bless!