Given a number n, the addititive inverse is -n since n+(-n)=0. However
n+(-n) is the same as n-n which is 0 also.
SO adding the additive inverse it the same as subtracting
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
S
A
=
96
sq in.
Explanation:
V
=
s
3
64
=
s
3
find the cubic root of each side
3
√
64
=
s
4
=
s
so the side of the cube is 4 cu in.
The surface area of a cube is
S
A
=
n
A
where
S
A
is surface area,
n
is the number of faces, and
A
is the area of one face.
Te area of one face (
A
) is
s
2
so
A
=
16
n
=
6
S
A
=
6
⋅
16
=
96
About 18 or 19 students per teacher
: 1,2,4,5,10,20
