Answer:
The value of k is greater than or equal to 0, i.e. k≥7.
Step-by-step explanation:
The given equation is
The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.
Subtract 48 from both the sides.
Using ![[\frac{r^m-1}{r-1}=r^{m-1}+r^{m-2}+...+1]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Br%5Em-1%7D%7Br-1%7D%3Dr%5E%7Bm-1%7D%2Br%5E%7Bm-2%7D%2B...%2B1%5D)
, we get
Divide both sides by 48k.
Note: The value of m can be 0 or 1.
The value of k is positive integer, so the right hand side of the above equation must be a positive integer.
Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.
Add 1 on both sides.
Therefore the value of k is greater than or equal to 0.
Answer:
8.8 david
13.2 jo
22 mary
Step-by-step explanation:
Answer:
t = 34.548
Step-by-step explanation:
Here X₁ = Solid values / n
= 26.3 +25.3+26.1+25.6+26.7+25.9/6
=155.9 / 6
=25.984
X₂ = Liquid values/n
= 16.9 +16.6+16.5+17.4+17.4+17.2 / 6
=102/6 = 17
Formula for the sample standard deviation is
we get
s₁ = 0.49967
s₂ = 0.3949
Construction of hypothesis
H₀ :μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Apply test statistic formula we get the value
putting all these values
t = 25.984 - 17 / √ (o.49967)²/6 + (0.39497)²/6
t = 34.548
Do you know how to translate that in English
Answer:
Option B
Step-by-step explanation:
I solved in the picture
Hope this helps ^-^
