Answer:
The 95% confidence interval is from 64 to 88
Step-by-step explanation:
The confidence interval has two values.
The lower limit, that is the mean subtracted by the margin of error.
The upper limit, that is the mean added to the margin of error.
So the 95% confidence interval is
76-12 to 76+12 = 64 to 88
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
<h3>How to find the volume of a rectangular prism?</h3>
volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
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Do 4 times $15 and 5 times $9. Add both of the answers together. That is the total cost.
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
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C) -7
Explanation: If you rearrange the equation into slope-intercept form, you get y = x - 7 so -7 is the b value (y intercept)
