Actually Welcome to the Concept of the Inverse of real function.
Let's consider here, g(n) = y ,
so we get as,
no, cubing the power both side we get as,
=>
now,
so finally, we get as,
=>
hence,here, n = inverse of the g(n) function.
so,
g^-1 (n) = 2y^3+1.
Answer:
Choice B: Only (-2, 9)
Step-by-step explanation:
Of the two choices, only the point (-2, 9) satisfies the equation:
... y = -2x +5
... 9 = -2(-2) +5 = 4 +5 = 9
Answer:
Check the explanation
Step-by-step explanation:
Let X denotes steel ball and Y denotes diamond
= 1/9( 50+57+......+51+53)
=530/9
=58.89
= 1/9( 52+ 56+....+ 51+ 56)
=543/9
=60.33
difference = d =(60.33- 58.89)
=1.44
s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2
=31686/8 - 9/8( 3468.03)
=3960.75 - 3901.53
=59.22
s1 = 7.69
s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2
=33295/8 - 9/8 (3640.11)
=4161.875 - 4095.12
=66.75
s2 =8.17
sample standard deviation for difference is
s=
=
=
=7.93
sd =
=
=7.93* 0.47
=3.74
For 95% confidence level =1.96
confidence interval is
=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)
=(1.44 - 7.35 , 1.44 + 7.35)
=(-2.31, 8.79)
There is sufficient evidence to conclude that the two indenters produce different hardness readings.