What is an equation of the parabola with vertex at the origin and focus (-5, 0)?
David wants to survey his friends about their favorite animal. He distributes the following survey. Is this an appropriate survey for David to use?
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1 point
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Yes, with this survey David can tell what his friends’ favorite animals are.
Yes, even though this survey doesn’t show what other types of animals students like, it does show how many students at the school like dogs.
No, this survey only shows student results using one type of data display.
No, this survey encourages students to choose dogs as their favorite animal and doesn’t allow them to choose another type of animal.
Option 5
No, this survey encourages students to choose dogs as their favorite animal and doesn’t allow them to choose another type of animal.
The survey only offers the option to choose dogs, which could bias the results and not accurately represent his friends' favorite animals.
Jake recorded the average temperatures for his hometown over a period of 20 days as shown in the chart. He used the data to determine the mean temperature. In a report, he stated, “The typical temperature in my hometown is about 61°.”
How is this statement misleading?
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1 point
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There is not enough data to decide what the typical temperature is.
The mean of the data is not about 61°.
The mean is not a good measure of the typical temperature because a few higher temperatures pull the mean higher than most of the daily temperatures.
The mean is not misleading. The typical temperature is about 61°.
The mean is not a good measure of the typical temperature because a few higher temperatures pull the mean higher than most of the daily temperatures.
The statement is misleading because the mean temperature is not a good measure of the typical temperature. The data shows a range of temperatures, and the mean is pulled higher by a few higher temperatures, which do not represent the typical temperature experienced over the 20-day period. Therefore, it is not accurate to state that the typical temperature in his hometown is about 61° based only on the mean temperature.
The record high temperatures were recorded for 20 states. The frequency table below displays the data. Which histogram represents the data?
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1 point
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Option 1
Option 2
Option 3
Option 4
Option 5
Unfortunately, the frequency table is not provided. Please provide the necessary information or table to select the appropriate histogram.
Which display is best to determine the relationship between the number of hours worked and the amount of money paid?
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1 point
histogram with intervals of 5
histogram with intervals of 3
line plot
line graph
line graph
A line graph is the best display to determine the relationship between the number of hours worked and the amount of money paid, as it allows for a continuous representation of the data over time. The x-axis can represent the number of hours worked, while the y-axis can represent the amount of money paid. This type of display shows the trend or pattern between the two variables, making it easier to analyze the relationship and make predictions based on the data. Histograms and line plots are better for displaying frequencies and individual data points, respectively.
Carrie asked 50 randomly selected middle school students at King’s High School about their favorite fast food item. Twenty-one selected french fries. If there are 350 middle school students at King’s High School, estimate how many will select french fries as their favorite fast food.
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1 point
141
153
147
159
By using proportion, we can estimate how many will select French fries as their favorite fast food:
21/50 = x/350
x = 147
Therefore, an estimated 147 middle school students at King's High School will select French fries as their favorite fast food.
So, the answer is 147.
For a school project, Alice surveyed several male students in her class to determine whether there is a relationship between their heights and weights. Which scatter plot represents the data displayed in the table below?
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1 point
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Option 1
Option 2
Option 3
Option 4
Unfortunately, the table with the data is not provided. Please provide the necessary information or table to select the appropriate scatter plot.
You are surveying students to find out their opinion of the quality of food served in the school cafeteria. You decide to poll only those students who buy hot lunch at the school cafeteria on a particular day. Is your sample random?
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1 point
yes
no
sometimes
it depends
No.
The sample is not random because students who buy hot lunch at the school cafeteria on a particular day do not represent the entire student population. This sample only includes a subset of students who have chosen to buy hot lunch on that day, so it is not a random sample. A random sample would be selected by choosing students from the entire student population using a random selection method, such as using a random number generator or a random stratified sampling technique.
You are surveying students to find out their opinion of the quality of food served in the school cafeteria. You decide to poll only those students who buy hot lunch at the school cafeteria on a particular day. Who might you have excluded?
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1 point
absent students
students who bring their lunch
students who don't eat lunch
all of the above
All of the above.
By polling only those students who buy hot lunch at the school cafeteria on a particular day, the survey would exclude absent students, students who bring their lunch, and students who don't eat lunch. Therefore, the sample would not represent the entire student population and could potentially introduce sampling bias, as the opinions of those who bring their lunch or are absent could differ significantly from those who buy hot lunch at the school cafeteria.
What is the key consideration for a survey to be random?
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1 point
everyone in the population has to have equal rights
everyone in the population has to be surveyed
everyone in the population has to be surveyed at the same time
everyone in the population has to have an equal chance at being surveyed
Everyone in the population has to have an equal chance at being surveyed.
The key consideration for a survey to be random is that everyone in the population has to have an equal chance at being surveyed. This ensures that the sample is representative of the population and reduces sampling bias. Random selection can be achieved using a random number generator or a random stratified sampling technique.
The graph shows the rainfall, in inches, in the month of July for the years 2006 through 2011.
In what way could the graph be misleading?
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1 point
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vertical axis doesn't begin at 0
horizontal axis doesn't begin at 0
vertical axis uses very small intervals
horizontal axis uses very small intervals
1st & 3rd answer
2nd & 4th answer
none of the above - the graph is not misleading
Vertical axis doesn't begin at 0.
The graph could be misleading if the vertical axis doesn't begin at 0. Even though it makes the differences in rainfall more noticeable, it can also exaggerate the differences between the values making them appear larger than they actually are. This can create a false impression of the data and lead to misinterpretation of the graph.
The graph shows the rainfall, in inches, in the month of July for the years 2006 through 2011.
How could you redraw the graph so that it is less misleading?
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1 point
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begin vertical axis at 0
begin horizontal axis at 0
make vertical axis with larger intervals
make horizontal axis with larger intervals
1st & 3rd answer
2nd & 4th answer
no changes needed - the graph is not misleading
Begin vertical axis at 0.
To make the graph less misleading, we can begin the vertical axis at 0. This will give us a more accurate representation of the rainfall levels and prevent the data from becoming exaggerated. By accurately showing the scale of the vertical axis, it can provide viewers a better understanding of the changes in the amount of rainfall over the years. Therefore, the answer is to begin the vertical axis at 0.
If the focus is at (-5,0), then the directrix is the line x=5.
y^2 = -20x
Find the volume of a closed cylinder with thickness 1.2cm and diameter 17.1cm take pie=3.14
a regular parabola with vertex at 0,0 is y=x^2
what the question is asking is to move the parabola 5 units left
you can move any formula horizontally by replacing x with (x+/-n) where number is the amount you want to move it.
moving right means you do x-n and moving left is x+n (opposite of what you'd expect be right is positive direction and left is negative direction)
thus y = (x+5)^2