Answer
the range is the spread of your data from the lowest to the highest value in the distribution
Answer: The height of building is 311 feet and the height of statue is 15.6 feet.
Step-by-step explanation:
Let the height of the building be 'b' and the height of the statue be 'g'.
Then according to the question, we get the following equation
Now, add both the equations, we get
Substitute the value of b in equation (2), we get
Hence, the height of building = 311 feet and the height of statue =15.6 feet.
6x² + 24x - 72
Divide all the terms by the greatest common of factor of 6. Makes factoring easier. We will need to put this 6 on at the end so keep it in mind.
(6x² + 24x - 72) / 6 = x² + 4x - 12
Your simplified equation is x² + 4x - 12
Now to factor we must find out what two factors of - 12 can be added together to equal 4. The factors are 6 and -2:
x² - 2x + 6x - 12
Now we must group and factor.
(x² - 2x) + (6x - 12)
We can pull an x out of the first binomial because both terms have that in common:
x(x - 2) + (6x - 12)
We can pull a 6 out of the second binomial for the same reason:
x(x - 2) + 6(x - 2)
The terms inside the parentheses match each other, this means (x- 2) is one of the factors of the original trinomial. The other comes from the terms on the outside x and + 6. Put them together, (x + 6)
So your factors are (x - 2)(x + 6); this isn't it though. We need the 6 from the top, the one we divided out to make factoring easier. We will put it on the outside of whichever factor you list first so that your final answer reflects that to get back to the original trinomial, you would have to multiply the whole thing by 6.
Your final answer is:
6(x - 2)(x +6)
The probability of choosing a purple marble from the given parameters is given as; 29%
<h3>How to find the Probability?</h3>
We are given;
Probability of drawing an orange marble = 23% = 0.23
Probability of of drawing a white marble = 48% = 0.48
Thus, probability of drawing a purple marble is;
P(purple marble) = 100% - (23% + 48%)
P(purple marble) = 29%
Read more about Probability at; brainly.com/question/24756209
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