Can someone please help me with the “Challenge” question??
1 answer:
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Answer: 0.893
Step-by-step explanation:
Given : Sample size of residential water bills: n=100
Number of residences had reduced their water consumption over that of the previous year = 80
Then sample proportion:
Critical value for 98% confidence=
The upper bound for confidence interval for population proportion :
Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893
Answer:
The second graph is correct for this function.
Step-by-step explanation:
The company made combined profits of $40 million after 4 years. The profits increased $30 million per year.
Therefore the rate of change of profit function is 30 and the graph of profit function passing through the point (4,40).
Point slope of a linear function is
Add 40 both sides.
Therefore the profit function is defined as
Put x=0
Therefore y-intercept of function is -80. So, second graph is correct for this function.
Y-intercept of first graph is positive and y-intercept of third and fourth graph are more that -50, therefore option 1, 3 and 4 are incorrect.
Answer:
2x + 3y = -10
Step-by-step explanation:
First convert the line into slope intercept form to find the slope of the line.
2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.
Now convert the line into standard form by using the distributive property.