Are you sure the question is written correctly? Sounds like the expectations would just be the same (24.0) and the variance is the square of the standard deviation (so it would be 0.09).
The solution to the system of equation is (14, 6)
1 / 2 x = 10 - 1 / 2 y
8 = x -y
Therefore, let's combine the equation.
<h3>Simultaneous equation:</h3>
1 / 2 x + 1 / 2 y = 10
x - y = 8
x + y = 20
x - y = 8
2y = 12
y = 12 / 2
y = 6
x = 20 - 6
x = 14
Therefore, the solution of the system of equation is (14, 6)
learn more on system of equation here: brainly.com/question/8914228?referrer=searchResults
The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm
<u>Solution:</u>
Given that triangle has perimeter of 126 cm
Let the length of the shorter side of the triangle be "a"
The 2 longer sides are 3 times as long as the shortest side
So length of 2 longer sides = 3(length of the shorter side)
length of 2 longer sides = 3a
<em><u>The perimeter of triangle is given as:</u></em>
perimeter of triangle = length of the shorter side + length of 2 longer sides
perimeter of triangle = a + 3a + 3a
126 = a + 3a + 3a
7a = 126
a = 18
So length of shorter side = 18 cm
length of 2 longer sides are each = 3a = 3(18) = 54 cm
Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm
Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
Answer:
∠2 = 18°
Step-by-step explanation:
∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2
∠WXZ = 3∠2 + ∠2, that is
72 = 4∠2 ( divide both sides by 4 )
18 = ∠2, that is
∠2 = 18°
