If lines are parellel, alternate interior angles are equal
Answer:
a; 2,305 houses
b; Year 2002
Step-by-step explanation:
In this question, we are tasked with calculating the number of homes in 2015 and the year when the town will have 1213 houses.
To work with both questions, we will need to go back to the equation of the line
y = 84x + 625
To the first question, since we want to find the number of houses in 2015, we are definitely looking to calculate the value of y here.
hence y = 84(2015-1995) + 625
y = 84(20) + 625
y = 2,305 houses
Kindly note that we had to subtract 1995 from 2015 because we were made to know that 1995 is the y we start to count the number of years making it a point that whatever x value we want to calculate, we need to subtract the value
Now to the second part, we insert the value 1213 here for y so as to get x
1213 = 84x + 625
84x = 1213 - 625
84x = 588
x = 588/84
x = 7 years
Now from the question, we were made to know that x is the number of years since 1995. This means that the year in which the number of houses will be 1213 will be 1995 + 7 years = 2002
Do 7*42 and then get...............
Complete question :
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
If a population is 5000
Answer:
blank A: 3450
blank B: 3750
Step-by-step explanation:
Number of inhabitants surveyed = 880
Population size = 5000
Error margin = 3%
Percentage that answered 'yes' = 72%
The confidence interval :
Mean ± Error margin
Lower Bound = 72% - 3% = 69% = 0.69
Upper bound = 72% + 3% = 75% = 0.75
Since the question want us know the overall inhabitants of the kingdom who fall between this interval :
Blank A = lower boundary = 0.69 * 5000 = 3450
Blank B = upper boundary = 0.75 * 5000 = 3750
Answer: The first one to the right is 12x^2 + 31x + 14 and the second one to the right is -7x^2 + 27.
Step-by-step explanation: Factored them! :)
