write an equation for the line through the point -6 and -1 and parallel to the line 3x + y equals negative 7. write your answer
1 answer:
Answer:
y = -3x - 19
Step-by-step explanation:
The line passes trough (-6,-1)
The line is parallel to line whose equation is 3x + y = -7
Writing the equation of this parallel line in slope intercept form:
y = -3x - 7
Because the two lines are parallel, their slopes are the same.
Since the slope(m) is -3, equation of our first line will be:
Slope(m) = Change in y ÷ change in x
Taking another point (x,y) lying on our first line:
-3 = =
Cross multiplying gives;
y + 1 = -3x - 18
y = -3x - 19
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Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 < < 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% < × 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.