Answer:
Radius is 5.1 Diameter is 10.2
Step-by-step explanation:
could i get brainliest please :D
Answer:
What problem?
Step-by-step explanation:
I dont see anything
Answer:
![X \sim N(\mu= 70, \sigma=15)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%3D%2070%2C%20%5Csigma%3D15%29)
From this info and using the empirical rule we know that we will have about 68% of the scores between:
![\mu -\sigma = 70-15=55](https://tex.z-dn.net/?f=%20%5Cmu%20-%5Csigma%20%3D%2070-15%3D55)
![\mu +\sigma = 70+15=85](https://tex.z-dn.net/?f=%20%5Cmu%20%2B%5Csigma%20%3D%2070%2B15%3D85)
95 % of the scores between:
![\mu -2\sigma = 70-2*15=40](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2070-2%2A15%3D40)
![\mu +2\sigma = 70+2*15=100](https://tex.z-dn.net/?f=%20%5Cmu%20%2B2%5Csigma%20%3D%2070%2B2%2A15%3D100)
And 99.7% of the values between
![\mu -3\sigma = 70-3*15=25](https://tex.z-dn.net/?f=%20%5Cmu%20-3%5Csigma%20%3D%2070-3%2A15%3D25)
![\mu +3\sigma = 70+3*15=115](https://tex.z-dn.net/?f=%20%5Cmu%20%2B3%5Csigma%20%3D%2070%2B3%2A15%3D115)
Step-by-step explanation:
For this problem we can define the random variable of interest as "the student grades" and we know that the distribution for X is given by:
![X \sim N(\mu= 70, \sigma=15)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%3D%2070%2C%20%5Csigma%3D15%29)
From this info and using the empirical rule we know that we will have about 68% of the scores between:
![\mu -\sigma = 70-15=55](https://tex.z-dn.net/?f=%20%5Cmu%20-%5Csigma%20%3D%2070-15%3D55)
![\mu +\sigma = 70+15=85](https://tex.z-dn.net/?f=%20%5Cmu%20%2B%5Csigma%20%3D%2070%2B15%3D85)
95 % of the scores between:
![\mu -2\sigma = 70-2*15=40](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2070-2%2A15%3D40)
![\mu +2\sigma = 70+2*15=100](https://tex.z-dn.net/?f=%20%5Cmu%20%2B2%5Csigma%20%3D%2070%2B2%2A15%3D100)
And 99.7% of the values between
![\mu -3\sigma = 70-3*15=25](https://tex.z-dn.net/?f=%20%5Cmu%20-3%5Csigma%20%3D%2070-3%2A15%3D25)
![\mu +3\sigma = 70+3*15=115](https://tex.z-dn.net/?f=%20%5Cmu%20%2B3%5Csigma%20%3D%2070%2B3%2A15%3D115)
Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:
m = (5 - 1)/(5 - 0) = 4/5 = 0.8.
Hence the equation that gives the approximate height after x weeks is:
y = 0.8x + 1.
After 8 weeks, the expected height is:
y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.
More can be learned about linear functions at brainly.com/question/24808124
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