The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: brainly.com/question/25841119
Answer:
1. 45
2. 105
3. 95
4. 85
Step-by-step explanation:
For problems 1 and 4:
Consecutive angles are supplementary in a parallelogram, which means they equal 180.
180 - 135 = 45
180 - 95 = 85
For problems 2 and 3:
Opposite angles are congruent or equal each other in a parallelogram,
Solution:
Perimeter is the sum of the figure's sides.
<u>Note that:</u>
- 10 + 10 + 4 + 10 + 4 + 10 + 10 + 30 = Perimeter of figure
<u>Simplify the expression:</u>
- 5(10) + 2(4) + 30 = Perimeter of figure
- => 50 + 8 + 30 = Perimeter of figure
- => 88 cm = Perimeter of figure
Answer:
represent the mean and,
represent the deviation
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X a random variable distributed normally. For this case we just need to conditions in order to satisfy a standard normal distribution
represent the mean and,
represent the deviation
On this case we say that is a normal standard distribution.