Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
To solve for the midpoint of the segment we use the equation that is given as:
(x1 + x2 / 2) , (y1 + y2 / 2)
For the points given,
(x1 + x2 / 2) , (y1 + y2 / 2)
(3+ 2 / 2) , (-5 + 9 / 2)
(5/2 , 2) or (2.5 , 2)
Hope this answers the question. Have a nice day. Feel free to ask more questions.
Answer:
The correct option is (C) (2.769, 3.231).
Step-by-step explanation:
The confidence interval for mean when the standard deviation is not known is:

Given:

Compute the critical value as follows:

**Use a <em>t</em>-table.
The 95% confidence interval for true mean length of the bolt is:

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).
The correct option is (C).
This is a tricky question as for me. But I think, I'd go with <span>C) The distance from the number "a" to 0 on a number line can be represented by the absolute value of a number "a." As it's sounds better in practical way.</span>