Answer:
f(x) = |x|+48 would make the vertex be (0,48)
Step-by-step explanation:
Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.
Answer:
arithmetic
Step-by-step explanation:
The points fall on a straight line. They won't do that for a geometric sequence.
___
Normally the terms of either sort of sequence are numbered with counting numbers: 1, 2, 3, .... Your x-values are negative, so are obviously not term numbers of a sequence. The differences of x-values are 1, and the differences of y-values are 2.5, so we know the x- and y-values are linearly related. That relationship can be expressed in point-slope form by ...
y = 2.5(x +1) +12.5
which can be simplified to
y = 2.5x +15
__
The arithmetic sequence with first term 17.5 and common difference 2.5 would be described by this same equation.
Answer:
Let me figure it out rq hold on
how to find the surface area:
The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces,
Answer:
There is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Step-by-step explanation:
We have to answer the population proportion for Vermont.
We can only do it by a confidence interval, as we only have information from a sample.
This sample, of size n=100, has a proportion p=0.653.
The degrees of freedom are:
We will calculate a 95% confidence interval, which for df=99 has a critical value of t of t=1.984.
The margin of error can be calculated as:
Then, the upper and lower bounds of the confidence interval are:
Then, we can say that there is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Answer:
Step-by-step explanation: