Answer:
2 < x < 6
Step-by-step explanation:
- 3 < 3x - 9 < 9 ( add 9 to each interval )
6 < 3x < 18 ( divide each interval by 3 )
2 < x < 6
Answer:
a=28m^2
Step-by-step explanation:
Given:
l=14m
w=200cm
Required
a=?
w in meters
Formula:
1m=100cm
b=200cm---criss cross it
b*100cm/100cm=1m*200cm/100cm
b=2m
a=l*w
a=14m*2m
a=28m^2
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
Solving for E[X]; we get
E[X] = 12
Answer:
C
Step-by-step explanation:
Oblique. The other three are used to describe a polyhedron. They are related by the following formula
V + F - E = 2.
Where
- V = number of vertexes
- F = the number of faces
- E = edges
For example consider a common cube, like a sugar cube.
It has 6 faces (f)
It has 8 vertexes (V)
It has 12 edges. E
6 + 8 - 12 = 14 - 12 = 2
Answer:
-x² + 16x - 60
Step-by-step explanation:
Given expression:
Step 1. <u>Insert</u> brackets to isolate the "-" from the (x - 8)².
⇒ -(x - 8)² + 4
⇒ -[(x - 8)²] + 4
Step 2. <u>Use</u> the formula (a - b)² = a² - 2ab + b²
⇒ -[(x - 8)²] + 4
⇒ -[x² - 2(x)(8) + 8²] + 4
Step 3. <u>Open</u> the parenthesis
⇒ -[x² - 2(x)(8) + 8²] + 4
⇒ -x² + 2(x)(8) - 8² + 4
Step 4. <u>Simplify</u> as needed
⇒ -x² + 16(x) - 64 + 4
⇒ -x² + 16x - 60