let's firstly, convert the mixed fractions to improper, and then do equation.
Answer:
hello, This can be solved using your standard rise over run slope calculation. Think of the number of years after 1990 as your input variable. 2007 would be 17 years after 1990, so the "y" variable would be 17. This is your "run", and it goes in the denominator of your slope calculation. Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500. Dividing, you will get 5441.17. Since we're talking about humans, we can't have a decimal, so let's round up to 5442.
Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000. Do you know why we add the 123000? It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.
Hope this helps.
Step-by-step explanation:
Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
Answer:
a
The estimate is
b
Method B this is because the faulty breaks are less
Step-by-step explanation:
The number of microchips broken in method A is
The number of faulty breaks of method A is
The number of microchips broken in method B is
The number of faulty breaks of method A is
The proportion of the faulty breaks to the total breaks in method A is
The proportion of the faulty to the total breaks in method B is
For this estimation the standard error is
substituting values
The z-values of confidence coefficient of 0.95 from the z-table is
The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as
substituting values
The interval of the difference between proportions of improperly broken microchips for the two breaking methods is
Answer:
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Step-by-step explanation: