Answer:
you have to figure out how big the angle is and then add the 38 and 21 and subtract that from the total i dont know if any of that made sense
Step-by-step explanation:
Answer:
![Interval = [666.78, 781.62]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B666.78%2C%20781.62%5D)
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:
From the dataset:
So:
The standard deviation is:
First, calculate the mean
So, the standard deviation is:
Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
![Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B%5Cbar%20x%20-%202%2A%5Csigma%2C%20%5Cbar%20x%2B%202%2A%5Csigma%5D)
![Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B724.2%20-%202%2A28.71%2C%20724.2%20%2B%202%2A28.71%5D)
Answer:
first one is C
the second it is A
Step-by-step explanation:
the equation of a circle=(x-h)^2 + (y-k)^2 = r^2
h and k are the coordinate of the origin of a circle
to find the origin which is the midpoint of the diameter which has end points
(9,1) and (1,9)
h=9+1/2 = 10/2=5
k=9+1/2 = 10/2=5
(x-5)²+(x+5)²=r²
find r which is the half distance of the diameter
d of diameter : √(x2-x1)²+(y1-y2)²
d=√(9-1)²+(1-9)²
d=√8²+8²=8√2
radius=8√2/2=4√2
(x-5)²+(x+5)²=r²
(x-5)²+(x+5)²=(4√2)²
(x-5)²+(x+5)²=32
TR>TS the sides RS and TS are congruent opposite angles are equal.
Answer:
12
Step-by-step explanation:
24/2=12
Answer:
volume= 1040
surface area=696
Step-by-step explanation:
1/2x 13x10x16
=1040#
(1/2x12x10)2
=120
(16x13)2
=416
16x10
=160
120+426+160
=696#
