Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
estimated proportion of defectives from the company B
is the value to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
![-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\](https://tex.z-dn.net/?f=-5x%20%2B%204y%20%5Cge%20-1%20%5C%5C%5C%5C-5%284%29%20%2B%204%280%29%20%5Cge%20-1%20%5C%5C%5C%5C-20%20%5Cge%20-1%20%5C%5C%5C%5C)
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Answer:
y=2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-1)
y=2x-2+9
y=2x+7
Answer: 328 feet, 1 inch
Step-by-step explanation:
3.281 feet makes 1 meter
To solve the question, Multiply the value by 3.281:
100 meters = 100 x 3.281 feets
=328.1 feet
I hope this helps.
Answer: 8000
Step-by-step explanation: