Answer: <em>r</em> represents a significant linear correlation.
Step-by-step explanation:
GIven : Linear correlation coefficient: r = 0.543
Sample size: n= 25
Significance levle: 
Degree of freedom : n-2 = 25-2=23
Now, we check <em>r</em> critical value table for value with df = 23 and
.
Critical value = ±0.396 [From <em>r</em> critical value table]
Since r = 0.543 > 0.396, that means there is significant linear correlation.
Hence, <em>r</em> represents a significant linear correlation.
<u>Answer:</u>
The length of VI to the nearest tenth is 4 cm
Solution:
The plot is like a quadrilateral and the fences are built on the diagonal
We know that for quadrilateral both the diagonals are in same height,
So as per the picture, 
Now we know that 
Hence,





<u>Rounding off:</u>
- If the number that we are rounding is followed by 5 to 9, then the number has to be increased to the next successive number.
- If the number that we are rounding is followed by 1 to 4, then the number has to remain the same.
Here the number to be round off is 3.98, 9 belongs to the first category stated above. So, 3 is increased to 4.
Hence, the length of VI = 4 cm.
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula,
-
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Step-by-step explanation:
The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.