Mean = (89 + 90 + 87 + 95 + 86 + 81 + 102 + 105 + 83 + 88 + 91 + 79)/12 = 1,076/12 = 89.67
a.) 95% C.I. = 89.67 + or - 1.96(0.23) = 89.67 + or - 0.4508 = 89.22 to 90.12
b.) 99% C. I = 89.67 + or - 2.575(0.23) = 89.67 + or - 0.5923 = 89.08 to 90.26
hello
so to find x, we need to use a rule.
the rule is: the exterior angle of a triangle is equal to the sum of the opposite interior angles.
so our exterior angle is xº, and the opposite interior angles are 53º and 45º.
we could set up a basic equation (although not completely necessary)
xº=53º+45º
xº=98º
hope this helps
have a nice day :)
Euclid of Alexandria is known as the father of modern geometry.
Answer:
363.22
Step-by-step explanation:
<u>Method 1: </u>
You could find the whole figure surface area than divided by 1/2
<u>Method 2:</u> (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
<u>For one face of figure 1</u>
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
The domain of a function is the set of all the x terms of the function and the range of a function is the set of all the y terms of a function.
For example, take a look below.
The domain is the set of all x terms in each ordered pair and the
range will be the set of all the y terms in each ordered pair.
