Answer:
0.28 = (76 - 103)/σ (B)
Step-by-step explanation:
Let X be a random variable for capturing moths every night
Mean(μ) = 103
σ is the standard deviation
Pr(X<76) = 28%
Pr(X<76) = 0.28
For normal distribution, Z = (X - μ)/σ
Pr(X<76) = (X - μ)/σ
0.28 = (76 - 103)/σ
The equation to find the standard deviation is
0.28 = (76 - 103)/σ
Answer:
3
Step-by-step explanation:
I got this by, 24-0 over 8-0 and got 24/8 and divided and got 3. Hope this helps! Brainly me if correct!
I can’t answer this because I don’t have the story or the organizer but you have to look at the two (story and organizer) and see what the author is trying to tell you the theme is the message of the story! THE MEssage
This equation involves no x variable, so I assume you want to solve this for D.
First of all, you can divide both sides by 0.785 to get
![0.785D^2 = 0.54 \iff \dfrac{0.785D^2}{0.785} = \dfrac{0.54}{0.785} \iff D^2 = \dfrac{0.54}{0.785} =](https://tex.z-dn.net/?f=%200.785D%5E2%20%3D%200.54%20%5Ciff%20%5Cdfrac%7B0.785D%5E2%7D%7B0.785%7D%20%3D%20%5Cdfrac%7B0.54%7D%7B0.785%7D%20%5Ciff%20D%5E2%20%3D%20%5Cdfrac%7B0.54%7D%7B0.785%7D%20%3D%20)
Since the right hand side is positive, the equation make sense (otherwise we would be asking a square, i.e. a positive number, to equal a negative number). So, we can extract the square root from both sides:
![D^2 = \dfrac{0.54}{0.785} \iff \sqrt{D^2} = \pm\sqrt{\dfrac{0.54}{0.785}} \iff D = \pm\sqrt{\dfrac{0.54}{0.785}}](https://tex.z-dn.net/?f=%20D%5E2%20%3D%20%5Cdfrac%7B0.54%7D%7B0.785%7D%20%5Ciff%20%5Csqrt%7BD%5E2%7D%20%3D%20%5Cpm%5Csqrt%7B%5Cdfrac%7B0.54%7D%7B0.785%7D%7D%20%5Ciff%20D%20%3D%20%5Cpm%5Csqrt%7B%5Cdfrac%7B0.54%7D%7B0.785%7D%7D)
Answer: 49.6
Step-by-step explanation:
62/100 ×80
=0.62×80
=49.6
For the fraction; 62/80 = 31/40