Answer:
should be 66.4
Step-by-step explanation:
<u>triangular prism:</u>
Using the formulas
AB=s(s﹣a)(s﹣b)(s﹣c)
V=ABh
s=a+b+c
2
Solving forV
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1
4·3·﹣24+2·(2·2)2+2·(2·2)2﹣24+2·(2·2)2﹣24≈5.19615
5.2 · 2 = 10.4
<u>Rectangular prism:</u>
<u>V=whl=2·2·14=56</u>
<u />
<u>10.4+56=66.4</u>
Answer:
f(x) + 2.
Step-by-step explanation:
Example:
If we have say f(x) = x + 1 then 2 units will be added to f(x) when it is moved up 2 units.
So the equation of this line will be f(x) + 2 which in this example is
x + 1+ 2.
The new function is x + 3.
Answer:
Step-by-step explanation:
<u>a)</u>
- Given that ; X ~ N ( µ = 65 , σ = 4 )
From application of normal distribution ;
- Z = ( X - µ ) / σ, Z = ( 64 - 65 ) / 4, Z = -0.25
- Z = ( 66 - 65 ) / 4, Z = 0.25
Hence, P ( -0.25 < Z < 0.25 ) = P ( 64 < X < 66 ) = P ( Z < 0.25 ) - P ( Z < -0.25 ) P ( 64 < X < 66 ) = 0.5987 - 0.4013
- P ( 64 < X < 66 ) = 0.1974
b) X ~ N ( µ = 65 , σ = 4 )
From normal distribution application ;
- Z = ( X - µ ) / ( σ / √(n)), plugging in the values,
- Z = ( 64 - 65 ) / ( 4 / √(12)) = Z = -0.866
- Z = ( 66 - 65 ) / ( 4 / √(12)) = Z = 0.866
P ( -0.87 < Z < 0.87 )
- P ( 64 < X < 66 ) = P ( Z < 0.87 ) - P ( Z < -0.87 )
- P ( 64 < X < 66 ) = 0.8068 - 0.1932
- P ( 64 < X < 66 ) = 0.6135
c) From the values gotten for (a) and (b), it is indicative that the probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
Answer:
it does not matter
Step-by-step explanation:
Because you still have to put both numbers but it still does not matter what goes first as long as it is on the graph it is alright to use whichever steps feel first but x is more commonly used before y
