Answer:
Option (C) n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Step-by-step explanation:
A new car is available in a sedan model and a hatchback model.
So that means customers can select the model of the car in,
n₁ = 2 ways
It is available in eight different colors.
After selecting the model, customers can select the color of the car in,
n₂ = 8 ways
Customers can choose to add any combination of four optional features.
After selecting the color, customers have the choice to add any combination of 4 optional features,
n₃ = 4² = 16 ways
Which means that there are 16 different ways to add 4 optional features e.g.
1. 0, 0, 0, 0
2. 0, 0, 0, 1
3. 0, 0, 1, 0
4. 0, 0, 1, 1
and the list goes on to 16 different ways.
Now the total ways to select a car is given by
n = n₁*n₂*n₃
n = 2*8*16
n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
And the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that 
Value of the test-statistic:
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
x = 2(180 - x) - 12
3x = 348
x = 116
The measure of the angle is 116 degrees.
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
