The negative 2 tells us that the graph has a horizontal shift of 2 units to the right and the plus 5 tells us that the graph has a vertical shift up by 5 units.
Answer:
There is no evidence to said that the technique performs differently than the traditional method.
Step-by-step explanation:
First, we need to write the null and alternative hypothesis as:
H0: x = 11.7
H1: x ≠ 11.7
Where x is the population mean for the new method.
Taking into account that the population distribution is approximately normal and the standard deviation of the population is unknown, we can calculated the statistic as:

Where t follows a distribution t-student with n-1 degrees of freedom.
So, replacing x' by the mean of the sample, s by the standard deviation of the sample and n by the size of the sample, we get:

Then, we can find the critical points as:
P(t<t1) = 0.025
P(t<t2) = 0.975
So, with 22 degrees of freedom, the critical point t1 and t2 are equal to -2.07 and 2.07 respectively.
Since 1.37 is between the critical points, we can't reject H0. it means that there is no evidence to said that the technique performs differently than the traditional method.
Step-by-step explanation:
There is 6 sides on a rectangular prism
the top would be 6 x 4 = 24 and same for the bottom then I'll do the left amd right sides those are 20 and the front and back sides are 30 so I add all the sides so...
30 + 30 + 20 + 20 + 24 + 24 = 148
so 148 is our answer
Answer:
0 critical points
Step-by-step explanation:
Answer:
Luca has 55 crayons as 42 + 13 = 55