The standard deviation from the mean of the data with a variance of 36 is: B. 6.
<h3>What is Standard Deviation?</h3>
Standard deviation can be described as the average of the distance each of the value lies from the mean of the data.
The standard deviation is the square root of the variance.
Variance of the data is given already as 36.
Standard deviation = √36 = 6.
The answer is B. 6.
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The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
It's not a multiple choice answer is it?
(-2,2)(5,1)
slope(m) = (1 - 2) / (5 - (-2) = -1 / 7
y = mx + b
slope(m) = -1/7
use either of ur points....(5,1)....x = 5 and y = 1
now sub and find b, the y int
1 = -1/7(5) + b
1 = -5/7 + b
1 + 5/7 = b
7/7 + 5/7 = b
12/7 = b
equation is : y = -1/7x + 12/7....but we need it in standard form...
y = -1/7x + 12/7
1/7x + y = 12/7
x + 7y = 12 <== standard form
