Answer:
There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant
Step-by-step explanation:
H0 : p0 = 0.09
H1 : p0 ≠ 0.09
Sample size, n = 600 ; α = 0.05
Decision region
Zstatistic < Zcritical ; reject H0
P = 48 / 600 = 0.08
Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)
Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)
Zstatistic = - 0.01 /0.0116833
Zstatistic = - 0.856
Zcritical at 0.05, = - 1.96
Zstatistic > Zcritical
-0.856 > - 1.96
Hence, we fail to reject the Null
See the attached picture:
You would need to facto 2x² + 9x - 35 to get (2x - 5)(x + 7).
We can find this first by dividing the 2x² into 2x and x, which we can put into the brackets:
(2x _ _)(x _ _)
Then we need to find two factors of -35 that have a difference of 9 when one is multiplied by 2, which gives us +7 and -5 as (7 × 2) - 5 = 14 - 5 = 9.
This gives our final answer as:
(2x - 5)(x + 7)
We cannot use foil on this expression as there are no brackets to expand.
I hope this helps!
Answer:
73%
Step-by-step explanation:
The histogram shows that 10 restaurant were rated between 11 and 20, 30 restaurant were rated between 21 and 30 and 40 restaurant were rated between 41 and 50.
So, in total,
restaurant were rated.
