Answer:
There isn't enough evidence to reject H0
Step-by-step explanation:
Null hypothesis :
H0: μ = 150
H1 : μ > 150
Decision region :
Reject Null if ;
Pvalue < α
Zstatistic = (x - μ) / (s/sqrt(n))
Zstatistic = (158 - 150) / (65/sqrt(85))
Zstatistic = 0.1135
Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128
Pvalue = 0.128
Since ; 0.128 > 0.10
Pvalue > α
We cannot reject H0:
Answer:
<em>40</em>
Step-by-step explanation:
Given that:
Number of options available for transmission = 2 (Standard or Automatic)
Number of options for doors = 2 (2 doors or 4 doors)
Number of exterior colors available = 10
To find:
Total number of outcomes = ?
Solution:
First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.
1. Standard - 2 doors
2. Standard - 4 doors
3. Automatic - 2 doors
4. Automatic - 4 doors
Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2
)
Now, these 4 will be mapped with 10 different exterior colors.
Therefore total number of outcomes possible :
Number of transmission modes
Number of doors options
Number of exterior colors
2
2
10 = <em>40</em>
Answer:
4
Step-by-step explanation:
By intersecting chords theorem:
![12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4](https://tex.z-dn.net/?f=12x%20%3D%203%28x%20%2B%2012%29%20%5C%5C%20%20%5C%5C%2012x%20%3D%203x%20%2B%2036%20%5C%5C%20%20%5C%5C%2012x%20-%203x%20%3D%2036%20%5C%5C%20%20%5C%5C%209x%20%3D%2036%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B36%7D%7B9%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%204)