Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
X = first number
x - 8 = 2nd number
5x = 3rd number
x + x - 8 + 5x = 69
7x - 8 = 69 <=== this is the equation u would use
7x - 8 = 69
7x = 69 + 8
7x = 77
x = 11
1st number = 11
2nd number : x - 8 = 11 - 8 = 3
3rd number : 5x = 5(11) = 55
Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into 
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is 
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.
Answer:
Step-by-step explanation:
(-8+2)/2= -6/2 = -3
(-3+7)/2= 4/2 = 2
(-3, 2) midpoint
(0 , 3) is the ordered pair
