Answer:
x = 2
Step-by-step explanation:
Here, we want to find the value of x
(m^5/6)(m^1/6)^7 = m^x
= (m^5/6)(m^7/6) = m^x
Using the law of indices for power multiplication
m^(5/6 + 7/6) = m^x
m^(12/6) = m^x
m^2 = m^x
we simply equate the powers in this case since the base are equal
Thus we have
x = 2
Answer :
A prism __<u>always</u>___ has two congruent, parallel bases.
always
sometimes
never
Answer:
The height of the building is 153.664 meter.
Step-by-step explanation:
Consider the provided function.
Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.
It is given that the splash is seen 5.6 seconds after the stone is dropped.
That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.
Substitute respective values in the above function.
As height can't be a negative number so the value of s₀ is 153.664.
Hence, the height of the building is 153.664 meter.
Answer:
3:7
Step-by-step explanation:
Simplify:
12:28
6:14
3:7
Answer:
0.9986
Step-by-step explanation:
- Prob (Machine tool actually fails) = 0.04
- So, Prob (Machine tool actually functions) = 1 - 0.04 = 0.96
- Prob (functional machine tool claimed fail) = 0.08
- So, Prob (functional machine tool claimed functional) = 1- 0.08 = 0.92
- Prob (fail machine tool claimed fail) = 0.97
- So, Prob (fail machine tool claimed functional) = 1- 0.97 = 0.03
Prob A: P [Machine tool indicated (claimed) functional] :- Functional machine tool or fail machine tool claimed functional = (0.96)(0.92) + (0.04)(0.03) = 0.8844
Prob B: P [Machine tool actually function when passed by QAs] = (0.96)(0.92) = 0.8832
Prob (A given B) = P (A & B) / P (A)
= 0.8832 / 0.8844 = 0.9986