Answer:
0,07, 0.7, 0.71
Step-by-step explanation:
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
Here You Go.
5.8, 5 2/5, 4.33, 4.25
By converting them to decimals, you can sort them out even more easily. This is the strategy to use.
An equation to solve for the time when the high school will have exactly 100 students is (1-.06)^x = (250/100).
That simplifies to 94^x = .4.
We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.
x*ln(.94)=ln(.4)
x = ln(.4)/ln(.94)
Solving this gives x ~= 14.80. So in about 15 years, the high school will have 100 students.
Answer:
Step-by-step explanation:
we are given a line
we want to figure out the equation of theline remember the slope-intercept form of linear equation:
where:
- m is the slope of the equation
- b is y-intercept
from the graph we can clearly see that the line passes y-intercept at <u>(</u><u>0</u><u>,</u><u>-</u><u>3</u><u>)</u> point therefore b is <em>-</em><em>3</em>
to figure out m we can consider the following formula:
from the graph we obtain:(0,-3),(2,-4)
simplify substraction:
now altogether substitute:
and we are done!
