Answer:
3.188
Step-by-step explanation:
Given that :
Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7
Sample standard deviation (s) = 2.728
Mean (mu) = 25
Tstatistic formula :
(x - mu) / (s/sqrt(n))
n = sample size = 6 ; s = 2.728 ; mu = 25
Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6
Sample mean (x) = 171.3 / 6 = 28.55
Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))
Tstatistic = 3.55 / 1.1137013
Tstatistic = 3.1875692
Answer:
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
The seagull is at 125 1/2 feet above the sea level.
The fish is at 45 1/2 feet below the sea level.
The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level
= 125 1/2 + 45 1/2
= 
+ 
= 
= 171
The distance between the seagull and fish is 171 feet.
Since the seagull stops halfway, then;
seagull's position = 
= 85.5
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
Answer:
x=2/3, x=3/2
Step-by-step explanation:
6x^2-13x=-6
6x^2-13x+6=0
6x^2-4x-9x+6=0
2x*(3x-2)-3(3x-2)=0
(3x-2)8(2x-3)=0
3x-2=0
2x-3=0
x=2/3
x=3/2
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
