Answer:
Step-by-step explanation:
Given that:
The sample size = 150
The sample mean = 70.69
The standard deviation = 29.60
The sample mean is equal to the point estimate of the population = 70.69
At 99% confidence interval level is:
∝ = 1 - 0.99
∝ = 0.01
The critical value:

The Margin of error = 

= 2.58 × 2.4168
≅ 6.235
At 99% confidence interval; the estimate of the population mean lies within the interval:
= 
= 70.69 - 6.235 < μ < 70.69 + 6.235
= 64.455 < μ < 76.925
= (64.455
, 76.925
)
Answer:
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Answer: The answer is 51
Step-by-step explanation:
The value of r is -24
Step-by-step explanation:
Given points are:
(1,r) and (5,-4)
Let the points be:
(x1,y1) = (1,r)
(x2,y2) = (5,-4)
m = 5
The slope is given by:

Hence,
The value of r is -24
Keywords: Slope, coordinates
Learn more about slope at:
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This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate o
juin [17]
27.5 is the answer
For this case we know that the average rate of change of a function is given by this general expression:
m = f(b) - f(a)/ b-a
For this special case from the info in the table we have:
a =2 , f(2) = 9
a =4 , f(4) = 64
And replacing the data with the average rate formula we got:
m = 64 - 9/4 - 2 = 27.5
And then the best answer for this case would be:
27.5
The exponential function is a mathematical function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a positive value of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as matrices and Lie algebras.
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