Answer:
- P(x < 84) = 0.3085 or approximately 31%
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<em>Hello to you from Brainly team!</em>
<h3>Given</h3>
- Mean grade μ = 86,
- Standard deviation σ = 4,
- Grade limit x = 84.
<h3>To find </h3>
- Probability of that a randomly selected grade is less than 84 or P(x < 84).
<h3>Solution</h3>
Find z-score using relevant equation:
Substitute values and calculate:
Using the z-score table find the corresponding P- value.
- P(x < 84) = 0.30854 or approximately 31%
Answer:
7
Step-by-step explanation:
f(x) = 2x^3 + x^2 − 3x + 1
f'(x) = 6x^2 + 2x − 3
The slope at -2:
f'(-2) = 6(-2)^2 + 2(-2) − 3
f'(-2) = 24 + -4 − 3
f'(-2) = 17
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The slope at 0:
f'(0) = 6(0)^2 + 2(0) − 3
f'(0) = − 3
The average rate of change is (17+(-3))/2, or 14/2, or 7
Since the product of the slope is -1, hence the lines are perpendicular
<h3>Parallel and Perpendicular lines</h3>
Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3
Similarly for the coordinate points (-1, -7) and (1, -1).
Slope = -1+7/1+1
Slope of line 2 = 6/2
Slope = 3
Take the product of the slopes
Slope = -1/3 * 3
slope = -1
Since the product of the slope is -1, hence the lines are perpendicular
Learn more on parallel and perpendicular lines here: brainly.com/question/25429151
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Yes. hope this is helpful
One solution to your problem is 15(1-2x)
