Answer:
B y = -.001x +100
Step-by-step explanation:
(0,100) (2000,98)
98-100/ 2000-0 = -2/2000 = -1/1000
y-100 = -.001(x -0)
y= -.001x +100
Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
<h3>What does Chebyshev’s Theorem state?</h3>
When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by .
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620
Answer:
Step-by-step explanation:
3x + 11 + x - 9 + 56 = 180
4x + 58 = 180
4x = 122
x = 30.5
Step-by-step explanation:
since the volume formula is given in the picture,
volume of the cylinder = π x 3.75^2 x 6.21 = 274.349....in^3 (this is the exact answer)
HOWEVER,
since question says round off to nearest whole number,
Volume = 3 x 4^2 x 6 = 288in^3
therefore, answer = option C.
Hope that helps.
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This function shows growth because the value that the base value of 6 is being multiplied by is 1.2. If the multiplication value is greater than 1, the function will grow. However, if it is less than 1, the function will decay.