Answer:
Area of the figure = 36 in²
Step-by-step explanation:
Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE
Area of rectangle ABCE = Length × Width
= AB × AC
= 6 × 8
= 48 in²
Area of triangle CDE = 
= 
= 12 in²
Now area of the composite figure = 48 - 12
= 36 square inch
4a^3b^5 - 16a^5b^2 + 12a^2b^3 =
4a^2b^2 (ab^3 - 4a^3 + 3b) <==
Answer:
A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.
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".
The probability mass function for the Binomial distribution is given as:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.
And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.
So then the best answer for this case is:
A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.
Answer:
see explanation
Step-by-step explanation:
To evaluate the expression for the given values.
Substitute the given values for x into g(x)
a
g(0) = 3(0)² - 4(0) + 3 = 0 - 0 + 3 = 3
b
g(- 1) = 3(- 1)² - 4(- 1) + 3 = 3 + 4 + 3 = 10
c
g(2) = 3(2)² - 4(2) + 3 = 12 - 8 + 3 = 7
d
g(- x) = 3(- x)² - 4(- x) + 3 = 3x² + 4x + 3
e
g(1 - t)
= 3(1 - t)² - 4(1 - t) + 3
= 3(1 - 2t + t²) - 4 + 4t + 3
= 3 - 6t + 3t² - 4 + 4t + 3
= 3t² - 2t + 2
1. subtract 3 from both sides
2x+3=5
-3 -3
now you have 2x=2
2. divide both sides by 2
2x=2
2x/2=2/2
now you have x = 2/2
3. simplify
the answer is x=1
hope i helped :)