Answer:
y = - 4x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ )= (1, - 2) and (x₂, y₂ ) = (2, - 6) ← 2 ordered pairs from the table
m = = = - 4, thus
y = - 4x + c ← is the partial equation
To find c use any ordered pair from the table
Using (1, - 2), then
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - 4x + 2 ← equation in slope- intercept form
25 pi or 78.5
Hope this helps
Answer: 31 1/2 acres
Step-by-step explanation:
2 1/4 = 2.25
2.25 * 14 = 31.5
31.5 = 31 2/4
31 2/4 = 31 1/2
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Formula to find the confidence interval for population mean :-
, where = sample mean.
t*= critical z-value
n= sample size.
s= sample standard deviation.
By considering the given question , we have
n= 50
Degree of freedom : df = 49 [ df=n-1]
Significance level :
Using students's t-distribution table, the critical t-value for 95% confidence =
Then, 95% confidence interval for the population mean will be :
Hence, a 95% confidence interval for the population mean = (24.24, 27.76)
Since 28 is not contained in the above confidence interval , it means it is not reasonable that the population mean is 28 weeks.