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
STEP
1
:
Equation at the end of step 1
((49 • (x2)) + 12xy) + 26y2
STEP
2
:
Equation at the end of step
2
:
(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 49x2 + 12xy + 64y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
49x2 + 12xy + 64y2
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20
Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200
Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200
The investment will be worth $1,200 in 10 years
This is how I did it, I really hope it helped you with your homework
Find the base price per pound, $15/11, or $1.36 = 1lb, then multiply it by 16, 16 x 1.36 = $21.82. Now just subtract $20 from $21.82 = $1.82. So, You would save, on average, $1.82 by buying the sale.
