Answer:
The mode, which is 7, is not a typical distance for the data. The median, which is 3.5, is not a typical distance for the data. The mean, which is 4, is a typical distance for the data. So, Grace’s reasoning is not correct.
Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
Answer:
Part 1) The lateral area is 
Part 2) The area of the two bases together is 
Part 3) The surface area is 
Step-by-step explanation:
Part 1) Find the lateral area
we know that
The lateral area of a prism is given by

where
P is the perimeter of the base
h is the height of the prism
so
----> perimeter of rectangle
---> given
substitute

Part 2) The area of the two bases together is?
The area of the rectangular base B is equal to

therefore
The area of the two bases together is

Part 3) The total surface area is
we know that
The surface area is equal to

substitute

Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
<u>↓ 0 -1 1 6</u>
<u> 1 -1 -6 0 </u>
<u />
<em>The polynomial x² - x - 6 </em>
<u><em>Step(ii):-</em></u>
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
<u><em>Final answer:-</em></u>
The factors of given polynomial x =-1 , -2 and x =3
Answer:
The wide of the city is 10.7km
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 115 km²
s = side
a = s * s
now we replace with the known values
115 km² = s * s
115 km² = s²
√(115 km²) = s
10.724km = s
Round to the nearest tenth
s = 10.724km = 10.7km
The wide of the city is 10.7km