Answer:
78.95cm^2
Step-by-step explanation:
The equation for a cylinder is rπ^2 · h
2π²·4≈78.95
Given that,
Sample size= 83
Mean number= 39.04
Standard deviation= 11.51
We know the critical t-value for 95% confidence interval which is equal to 1.989.
We also know the formula for confidence interval,
CI=( mean number - critical t-value*standard deviation/(sample size)^(1/2), mean number + critical t-value*standard deviation/(sample size)^(1/2))
So, we have
CI= (39.04 - 1.989*11.51/83^(1/2), 39.04 + 1.989*11.51/83^(1/2)
CI= (39.04 - 2.513,39.04 + 2.513)
CI= (36.527,41.553)
Therefore, 95% confidence interval for these data is (36.527,41.553), and this result interpret that the true value for this survey sample lie in the interval (36.527,41.553).
The value of the function at x = -1 is 5
<h3>What is function?</h3>
Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.
From the information given, we have that;
f (x) = 3 (2)x with x=-1
Now, let's substitute the value of x as - 1 in the function given;
f (x) = 3 (2)x
f (x) = 3 (2) -1
Expand the bracket;
f (x) = 6 - 1
f(x) = 5
Thus, the value of the function at x = -1 is 5
Learn more about functions here:
brainly.com/question/6561461
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Find Slope
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4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2
Slope = -2
Perpendicular slope = 1/2
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Insert slope into the general equation y = mx + c
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y = 1/2x + c
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Find y-intercept
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y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2
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Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
2y = x + 7
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Answer: 2y = x + 7
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