Answer:
<em>715 in^3; Option D</em>
Step-by-step explanation:
We know that the basic formula for most 3 - dimensional figures is to multiply the base by height. Here the base consists of dimensions 13 by 11, with height 5 inches so that the volume of this rectangular prism can be calculated through the following procedure;
<em>Volume of Prism ⇒ 715 in^3; Option D</em>
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that and , then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
Answer:
The final answers are x = 10.385 OR x = -0.385
Step-by-step explanation:
Given the equation is x^2 -4 = 10x
Rewriting it in quadratic form as:- x^2 -10x -4 = 0.
a = 1, b = -10, c = -4.
Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)
x = ( 10 ± √(100 -4*1*-4) ) / (2*1)
x = ( 10 ± √(100 +16) ) / (2)
x = ( 10 ± √(116) ) / (2)
x = ( 10 ± 10.77 ) / (2)
x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)
x = 20.77/2 OR x = -0.77/2
x = 10.385 OR x = -0.385
Hence, final answers are x = 10.385 OR x = -0.385
Answer:
Option D
Step-by-step explanation:
<u>Convert to slope-intercept form:</u>
<u>Find the x-intercept by plugging in y=0:</u>
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Therefore, the x-intercept is
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<u>Find the y-intercept by plugging in x=0:</u>
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Therefore, the y-intercept is
So, the correct answer is option D.
The interval around the mean that contains 95% of the airfare is (250.2,524.2).
Normal Distribution is bell shaped and symmetrical in nature.
We use standard normal to find probabilities of normal distribution
Normal distributions have key characteristics that are easy to spot in graphs: The mean, median and mode are exactly the same. The distribution is symmetric about the mean—half the values fall below the mean and half above the mean. Diagram below shows standard normal figure.
In a normal distribution, 95% of the values fall between mean±2*sd
Give: mean=387.20
sd=68.50
So the interval around the mean that contains 95% of the airfare is (250.2,524.2).
To know more about Normal distribution visit:
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