Answer:
The answer is below
Step-by-step explanation:
a) The number of pupils who scored more than 7 in a test = pupils who shored 8 + pupils who shored 9 + pupils who shored 10
The number of pupils who scored more than 7 in a test = 7 + 3 + 1 = 11 pupils
b) Total number of pupils = pupils who shored 0 + pupils who shored 1 + pupils who shored 2 + . . . + pupils who shored 9 + pupils who shored 10
Total number of pupils = 0 + 1 + 4 + 0 + 0 + 8 + 0 + 2 + 7 + 3 + 1 = 26 pupils
c) It is assumed that nobody scored either 0 or 3 or 4 or 6. Also the highest mark was assumed to be 10
The angle is 127°, so the Pythagorean theorem does not apply.
Generally, you would use the Law of Cosines to solve for the third side when given two sides and the angle between them.
EF^2 = 7^2 +15^2 -2*7*15*cos(127°)
EF ≈ √(400.3812) ≈ 20.00953
My guess is that you're expected to use 20 for the length of the 3rd side.
By Heron's formula, s = (7 +15 +20)/2 = 21
Area = √(21*(21 -7)*(21 -15)*(21 -20)) = √(21*14*6*1) = √1764 = 42 . . . . yd^2
_____
More directly,
.. Area = (1/2)*7*15*sin(127°) ≈ 41.928 . . . . yd^2
Answer:
0.8188 or 82%
0.0000643
Step-by-step explanation:
Given that engineering specifications on the shelf depth of a certain slug to be turned on a CNC lathe are from .0275 in. to .0278 in.
If x is the dimension then X is N(0.0276, 0.0001)
Or 
is Normal (0,1)
a) Fraction of shelf depths are in specifications
=
b) For 98% to be within the specifications,
Margin of error = 
For 98% critical value Z two tailed is 2.33
Hence std error = 
So sigma should be = 0.0000643
Answer:
The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.
Step-by-step explanation:
this is the exact answer word for word, so id recommend to put it in your own words
ex. when i move one point the other points move so the lengths stay equal to each other
10% of 76.5 is 7.65
x3 to get 30% so 22.95
Take this away from original because discount
76.5-22.95=$53.55
