Choose all of the equivalent ratios for 64:80 8:12 32:40 4:5 16:24 120:160
2 answers:
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Answer:
The equation of a linear function is:
Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)
Determining the slope between the points (-3, -2), (1, 6)
Determining the slope between the points (1, 6),(2, 8)
As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation
substituting the values m = 2 and any point let say (1, 6)
Therefore, the equation of a linear function is:
Answer:
a) The 99% confidence interval for the true mean milk production is (26.35 kg/d, 29.65 kg/d).
b) They would need to use a confidence level of 94.52%.
Step-by-step explanation:
a)
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample. So
The lower end of the interval is the mean subtracted by M. So it is 28-1.65 = 26.35 kg/d
The upper end of the interval is the mean added to M. So it is 28 + 1.65 = 29.65 kg/d.
The 99% confidence interval for the true mean milk production is (26.35 kg/d, 29.65 kg/d).
(b) If the farms want the confidence interval to be no wider than 1.25 kg/d, what level of confidence would they need to use?
Now we want to find the value of z when M = 1.25. So:
, that has a pvalue of 0.9726.
So the confidence level should be 1 - 2*(1-0.9726) = 0.9452
They would need to use a confidence level of 94.52%.
Answer:
Option B) 18 is the correct answer.
Step-by-step explanation:
Let n(A) be the shoppers who purchased at an online store
Let n(B) be the shoppers who purchased at a locally-owned store
Let n(C) be the shoppers who purchased at a big-box store
n(A ∩ B) is the shoppers who purchased at an online store and at a locally-owned store
n(B ∩ C) be the shoppers who purchased at a locally-owned store and at a big-box store
n(C ∩ A) is the shoppers who purchased at an online store and at a locally-owned store and at an online store
From the Venn diagram,
n(A) = 109
n(B) = 34
n(C) = 107
n() = 38
n(B ∩ C) = 17
n(C ∩ A) = 57
On Comparing the Venn Diagrams, we could find that shoppers made a purchase at an online store, a locally-owned store, and a big-box store [n( A ∩ B∩ C)] = 18
