Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
Step-by-step explanation:
This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.
Answer:
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Step-by-step explanation:
1
8
=
3
(
3
−
6
)
1
8
=
9
−
1
8
2
Add
1
8
18
18
to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Solution
=
4
Answer:
Step-by-step explanation:
The equation for solving for density is:
Density = mass / volume
Then plug in the values:
Density = 6 g / 12 mL
Divide and don't forget the units!
Density = 0.5 g/mL
Answer:
15/40 which is 3/8
Plug in the numbers into the variables then complete it which then gives you 3/8 simplified
