Answer:
So if a value is less than 24.86 would be considered significantly low and a value higher than 29.38 would be considered as significantly high.
The value for the analysis is 29.8 and as we can see 29.8>29.38 so then we can consider 29.8 as a value significantly high.
Step-by-step explanation:
For this case we have the mean given and the deviation
The Range Rule of Thumb says "that the range is about four times the standard deviation"
So then we will ave approximately most of the value within 2 deviations from the mean, so we can find the limits considered normally like this:
So if a value is less than 24.86 would be considered significantly low and a value higher than 29.38 would be considered as significantly high.
The value for the analysis is 29.8 and as we can see 29.8>29.38 so then we can consider 29.8 as a value significantly high.
Answer:
Step-by-step explanation:
Read the coordinates of the points:
A(-1, 0) → A'(-1, 0)
B(0, 2) → B'(0, -2)
C(3, 2) → C'(3, -2)
D(4, 0) → D'(4, 0)
(x, y) → (x, -y)
Check:
A → A': (-1, 0) → (-1, -0) = (-1, 0) CORRECT
B → B': (0, 2) → (0, -2) CORRECT
C → C': (3, 2) → (3, -2) CORRECT
D → D': (4, 0) → (4, -0) = (4, 0) CORRECT
The sides of the triangle are 20 in, 48 in and 52 in
<u>Explanation:</u>
Given:
Let x be the length of smaller leg
Hypotenuse, H = x + 32
Height, h = x + 28
Length of the sides of a triangle = ?
If the triangle is a right angle triangle then we use pythagoras theorm to solve the question.
So,
(Hypotenuse)² = (height)² + (Base)²
(x + 32)² = (x + 28)² + (x)²
x² + 1024 + 64x = x² + 784 + 56x + x²
240 + 8x - x² = 0
x² - 8x - 240 = 0
Solving the quadratic equation:
x² + 12x - 20x - 240 = 0
x(x+12) - 20(x+12) = 0
(x-20) (x+12) = 0
(x-20) = 0
x = 20 in
Hypotenuse, H = x + 32
H = 20 + 32 in
H = 52 in
Height, h = x + 28
h = 20 + 28 in
h = 48 in
Therefore, the sides of the triangle are 20 in, 48 in and 52 in
17.01
05.00
02.00
03.00
+____
27.01
07.00
-____
20.01
100.00
-____
79.99