To start, find the area of the triangles. The formula for the area is B times H divided by 2. To find the base, add 1.5 plus 1.5. The answer to that is 3, so the base is 3. The height is 2.6, so now you need to multiply 3 by 2.6. The answer to that is 7.8, so the last step to find the area is 7.8 divided by two. The answer to that is 3.9, but there is also another triangle on the back of the triangular prism, so 3.9 times 2 is 7.8. Yes, I know you could just easily just do 7.8 as the answer to both areas, but whatever, we already did that. The second to last step of finding the surface area is finding the area of the rectangle faces. The formula for that is L times W, so the length is 5 and the width is 3. Multiplying those together gives us the answer of 15, and since there are two rectangles, the final area of both rectangles is 30. The last step is to add 7.8 to 30, giving us the final surface area of 37.8!
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
(original - new)/original * 100%
(48-15)/48 * 100%
33/48 *100%
68.75 % decrease
Answer:
10x + 6
Step-by-step explanation:
When distributing, you need to multiply the number on its own by both terms of the binomial (the 5x + 3). 5 times 2 is 10, and then you have the x, so it is 10x. Multiply 3 times 2 and get 6. Hope this helps!