Answer: As the number of cookies eaten increases, the calories consumed increases.
This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.
=-2i
you flip it to the reciprocal which would be -2i
<u>Answer:</u>
19.5 x 29.25 inches
<u>Step-by-step explanation:</u>
We are given that the top of the table, which we are to build in our factory must of the the dimension 50 cm x 75 cm.
Also, out machine is calibrated in inches. So to find the size of the table in the inches, we need to multiply the given dimensions of the table top with the scale (1 cm = 0.39 inches)
50 cm ---> 50 x 0.39 = 19.5 inches
75 cm ---> 78 x 0.39 = 29.25 inches
Therefore, the dimensions of the table in inches are 19.5 x 29.25 inches.
Answer:
The margin of error of u is of 3.8.
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7707
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error of u is of 3.8.
The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes
The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
0.7/729 equals 0.00088383838