need help to see if I did ok. Question: Consider points A(-2,0), B(2,3) and C(5, -1) forms a triangle. What is slope AB, AC and BC. I got AB=1/2, BC= -2, and AC = i1/2. Correct or did I goof?
Looks like 3 strikes, none are correct
slope AB = (3-0)/(2-(-2))
= 3/4
slope AC = (-1-0)/(5-(-2))
= -1/7
slope BC = (-1-3)/(5-2)
= -4/3
Researchers at Jackson Hospital asked 40 randomly selected patients about their sleep habits. Sixteen reported sleeping 8 hours or more each night. If there are 700 patients in the hospital, estimate the number of patients who sleep 8 hours or more each night.
We can use a proportion to estimate the number of patients who sleep 8 hours or more each night:
16/40 = x/700
Solving for x, we can cross-multiply:
40x = 16 * 700
x = (16 * 700)/40
x = 280
Therefore, we can estimate that 280 patients at the hospital sleep 8 hours or more each night.
Which survey question is biased?
"Are you in favor of the new policy, or do you think it's a terrible idea?"
This survey question is biased because it is asking respondents to either agree or disagree with the statement that the new policy is a terrible idea, which is a negative and loaded question. The question is designed to elicit a particular response rather than gather unbiased information about respondents' opinions of the new policy. A more neutral and unbiased question would be: "What is your opinion of the new policy?" and then provide response options such as "favorable", "neutral", or "unfavorable".
Jared drew a scatter plot comparing the number of hours worked and the amount of money earned over the course of a week. He graphed the ordered pairs (number of hours, amount paid) for each day worked. Which of the three scatter plots below most likely represents the data?
Unfortunately, we cannot see the scatter plots you are referring to as they have not been provided. Please upload or describe the scatter plots to further assist you.
Katie surveyed people at a grocery store. She wanted to find out which animals were their favorite pets. She asked the people she surveyed which animal they thought was the least expensive to feed. The results are shown in the bar graph below.
Unfortunately, there is no bar graph shown for me to analyze and answer the related questions. Could you provide the bar graph or any questions you may have related to it?
Kendall asked 40 randomly-selected seniors at his high school about their plans for after they graduated. Twenty-nine students said they planned to go to college. If there are 380 seniors at Kendall’s high school, estimate the number who plan to go to college.
We can use a proportion to estimate the number of seniors who plan to go to college:
29/40 = x/380
Solving for x, we can cross-multiply:
40x = 29 * 380
x = (29 * 380)/40
x = 275.5
Therefore, we can estimate that 275.5 seniors at the high school plan to go to college. However, since we can't have a fractional number of seniors, we can either round up to 276 or round down to 275, depending on the level of precision needed.
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? Explain
No, the sample is not random. In order for a sample to be considered random, every member of the population should have an equal chance of being selected for the sample. However, by only polling students who buy hot lunch at the school cafeteria on a particular day, you are introducing bias into the sample, as this group may have different opinions and preferences than students who do not buy hot lunch at the cafeteria or who bring their own lunch to school.
To obtain a random sample in this scenario, you could use a different method, such as selecting a random sample of students from the school and asking them about their opinions of the cafeteria food, or using a system that ensures that all students have an equal chance of being selected for the sample.