A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist
has remaining, y, after creating x hats.
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Check all that apply.
positive slope
negative slope
zero slope
constant slope
increasing function
decreasing function
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Check all that apply.
positive slope
negative slope
zero slope
constant slope
increasing function
decreasing function
2 answers:
Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:
- Negative slope.
- Constant slope.
- Decreasing function.
Step-by-step explanation:
We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.
Clearly from the graph we could that it is a linear function.
Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.
Also, we can calculate the slope of the line.
as the line is passing through (0,500) and (100,0)
Hence, the slope of line is:
Hence, the graph has a negative slope.
Also, we know that a slope of a line is always constant.
So, the correct statements are:
Negative slope.
Constant slope.
Decreasing function.
Answer:
The line has a negative slope
The line has a constant slope
The function is decreasing function.
Step-by-step explanation:
Given is a graph showing the number of balloons the artist has remaining, y and x is the no of hats created.
The graph shown is a straight line passing through (0,500) amd (100,0)
Hence in intercept form we can write the equation as
Slope of this line =
Since slope is negative, we find that when x increases y decreases and vice versa
Hence answers would be
The line has a negative slope
The line has a constant slope
The function is decreasing function.
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Answer:
test statistic (Z) is 2.5767 and p-value of the test is .009975
Step-by-step explanation:
: percentage of students who smoke did not change
: percentage of students who smoke has changed
z-statistic for the sample proportion can be calculated as follows:
z= where
- p(s) is the sample proportion of smoking students (
=0.25)
- p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
- N is the sample size (200)
Then, z= ≈ 2.5767
What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.
This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years
ANSWER
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.
600/30=20.
20*20=400.
Your answer is 400.