Let y = f(x)
y = ln(3x)
Exchange place with x and y.
x = ln(3y)
Solve for y.
y = (e^x)/3
Replace y with the inverse notation.
f^(-1) x = (e^x)/3
Done.
Given that t<span>he
mean lifespan of a sylvania light bulb is 1600 hours with a standard
deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours.
the lifespan distribution is relatively symmetric.
Since, the distribution is relatively symmetric, the measure of
spread that is the best measurement is the standard deviation.</span>
Answer:
X/4 +1
Step-by-step explanation:
The word "quotient" tells us that we'll be dividing X and 4.
This can be modeled as X/4
To this quantity, we will be adding 1.
We now get X/4 +1
Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
Given :
A right angle triangle ABC .
To Find :
The perimeter of ABC .
Solution :
Since, triangle ABC is right angled and angle ∠ABC is 46° .
So, AC = AB cos 46° = 7.64 units.
Also, CB = AB sin 46° = 7.91 units.
Therefore, the perimeter of ΔABC is :
P = 11 + 7.64 + 7.91 units
P = 26.55 units
Hence, this is the required solution.