Answer:
1. 15 grapes eaten per minute.
Step-by-step explanation:
We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.
Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.
=Difference between two y-coordinates.
=Difference between corresponding x-coordinates of y-coordinates.
Upon substituting coordinates of any two points in above formula we will get,
We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.
We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³
The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²
The answer is 6,000 units².
First hjk undergoes translation that make it goes upward. then they reflect to become lmn
Answer:
The confidence interval for the difference in proportions is
No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.
Step-by-step explanation:
We have to construct a confidence interval for the difference of proportions.
The difference in the sample proportions is:
The estimated standard error is:
The z-value for a 95% confidence interval is z=1.96.
Then, the lower and upper bounds are:
The confidence interval for the difference in proportions is
<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>
No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.
This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.
