Answer:
1/3
Step-by-step explanation:
reduce 2/6 by dividing by 2
Answer:
honda
Step-by-step explanation:
Answer:
No, because he has a sum of 0.
Step-by-step explanation:
3+11-5-8-2+1
=14-5-8-2+1
=9-8-2+1
=1-2+1
=-1+1
=0
Answer:
0.284
Step-by-step explanation:
To carry out this calculation, we begin by describing the sampling distribution of the sample proportion.
The sample size is n = 50 and the population proportion of teachers who made an apparel purchase is 0.56.
Shape: Because np = (50)(0.56) = 28 and n(1 – p) = (50)(0.44) = 22 are both at least 10, the shape of the sampling distribution of the sample proportion is approximately Normal.
Center:
μ
p
^
=
p
=
0
.
5
6
μ
p
^
=p=0.56
Variability: The standard deviation of the sample proportion is approximately
(
0
.
5
6
)
(
0
.
4
4
)
5
0
≈
0
.
0
7
0
2
50
(0.56)(0.44)
≈0.0702.
P(
p
^
p
^
> 0.6) = Normalcdf(lower: 0.6, upper: 1000, mean: 0.56, SD: 0.0702) = 0.284.
P
(
p
^
>
0
.
6
)
=
P
(
z
>
0
.
6
−
0
.
5
6
0
.
0
7
0
2
)
=
P
(
z
>
0
.
5
7
)
=
1
−
0
.
7
1
5
7
=
0
.
2
8
4
3
P(
p
^
>0.6)=P(z>
0.0702
0.6−0.56
)=P(z>0.57)=1−0.7157=0.2843
Answer:
![r=-7](https://tex.z-dn.net/?f=r%3D-7)
Step-by-step explanation:
![4r+12=-16](https://tex.z-dn.net/?f=4r%2B12%3D-16)
Subtract 12 from both sides.
![4r=-28](https://tex.z-dn.net/?f=4r%3D-28)
Divide both sides by 4.
![r=-7](https://tex.z-dn.net/?f=r%3D-7)
Check our work with substitution:
![4\cdot-7+12=-28+12=\boxed{-16}](https://tex.z-dn.net/?f=4%5Ccdot-7%2B12%3D-28%2B12%3D%5Cboxed%7B-16%7D)
We see that our work is correct.