Answer:
See below.
Step-by-step explanation:
You have already drawn the line x = -1 . This is the vertical line passing through the point F.
So if we reflect across this line, F will stay where it is at (-1,-1) (because F is on the 'mirror'). E is 3 units in front of the line so is reflected 3 units the other side.
The image of E, E' will be at (2, -3). The image of G, G' will be at (-2,-3).
Answer:
a) numerical discrete, b) categorical, c) numerical continuous, d) numerical continuous, e) categorical
Step-by-step explanation:
Categorical variables are those that represent attributes. For example, the colors of a model of car. It could be black, white, or red. It represents an attribute that can’ t be measured, only can be classified. Categorical variables can be classified into two types: nominal and ordinal. The categorical nominal variables don’ t follow a natural order, like the “b” statement. Babies could be boys or girls. When they have a hierarchy they are ordinal, for example, the “e” statement. They have an order. The firstborn is before than the middle child.
When the variable can be measured, it is a numerical variable. If the variable can be measured on a continuous scale, like “c” and “d” statement, then it is a continuous numerical variable. You can find any value on the scale. For example, the amount of fluid could be 250 ml, 250.1 ml, 249.5 ml.
If the variable can also take some finite variables, then it is a numerical discrete variable. These variables represent counts, as in the “a” statement, the number of students in a class.
Answer:
d
Step-by-step explanation: no need to thank me (buts still i would say press the thanks button)
Answer:
see explanation
Step-by-step explanation:
Given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition r = 4 when M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
(a)
when r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
when M = 540 , then
540 = 2.5r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= r , thus
r = 6
1) to work out the area of a parallelogram you need to do area= base x height.
6.3x27.3=171.99m^2
2) 420.92/27.4= 15.36mm to 2 decimal places
3) 133.2x30.6=4075.92mm^2
4) 651/61=10.57m to 2 decimal places
5) (32x2)+(34x2)=132mm
6) 40x18=720mm^2
7) (8.8x2)+(7.9x2)=33.4m
8)354/23= 15.39cm to 2 decimal places
9) 44/4=11
11x11=121mm^2
10)55/4=13.75
13.75x13.75=1890.0625cm^2
11) 43x18=774m^2
12) 25x35=875m^2
13)600/16=37.5m
14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2
15) 64.3x4.3=276.49m^2
