Evaluate the expression when x = 1/2 and y= – 2/5 x + y .
1 answer:
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Answer:
[300.202 , 329.798]
Step-by-step explanation:
The 95% confidence interval is given by the interval
where
<em>is the sample mean </em>
<em>s is the sample standard deviation </em>
<em>n is the sample size (n = 7) </em>
is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>
Either by using a table or the computer, we find
and our 95% confidence interval is
Answer:
Area of Circle A = 1133.54
Circumference of Circle A= 119.32
Step-by-step explanation:
Given: Sum of both circle diameters= 49 feet.
Circle A radius= Three feet less than twice the diameter of circle B.
Lets assume diameter of Circle B is "x"
∴ Circle A radius (r)=
We know, the diameter of circle is
Diameter of Circle A is
Next as given sum of both circle diameter is 49 feet.
∴
distributing 2 with 2x and -3
⇒
⇒
Adding both side by 6
⇒
Cross multiplying both side.
⇒
∴ Diameter of circle B is 11 feet.
Next, subtituting the value of x to get the value of radius for Circle A.
Radius of circle A=
⇒ Radius of circle A=
∴ Radius of circle A= 19 feet.
Area of circle=
Taking π= 3.14
Area of circle A=
∴ Area of circle A= 1133.54
Circumference of circle= 2πr
Circumference of Circle A=
∴ Circumference of Circle A= 119.32