In a nutshell, the Riemann's sum that represents the <em>linear</em> equation is A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 5]] - [[4 - (- 6)] / 5], for i ∈ {1, 2, 3, 4, 5}, whose picture is located in the lower left corner of the image.
<h3>How to determine the approximate area of a definite integral by Riemann's sum with right endpoints</h3>
Riemann's sums represent the sum of a <em>finite</em> number of rectangles of <em>same</em> width and with <em>excess</em> area for y > 0 and <em>truncated</em> area for y < 0, both generated with respect to the <em>"horizontal"</em> axis (x-axis). This form of Riemann's sum is described by the following expression:
A ≈ [(b - a) / n] · ∑ f[a + i · [(b - a) / n]], for i ∈ {1, 2, 3, ..., n}
Where:
- a - Lower limit
- b - Upper limit
- n - Number of rectangle of equal width.
- i - Index of the i-th rectangle.
Then, the equation that represents the <em>approximate</em> area of the curve is: (f(x) = 2 · x - 1, a = - 6, b = 4, n = 5)
A ≈ [[4 - (- 6)] / 5] · ∑ 2 [- 6 + i · [[4 - (- 6)] / 5]] - [[4 - (- 6)] / 5], for i ∈ {1, 2, 3, 4, 5}
To learn more on Riemann's sums: brainly.com/question/28174119
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All of the surfaces are rectangular
Answer:
Transverse axis
Step-by-step explanation:
Just search it up and you will see...
Brainliest! like you promised!
Answer:
Step-by-step explanation:
Hello!
The variable of interest is X: number of individuals that hold multiple jobs in a sample of 225.
And you need to calculate the probability of the proportion of individuals being between 0.14 and 0.18.
Considering that the parameter of interest is the proportion and the sample is large enough you can use the standard normal approximation to calculate this interval.
Unfortunately, there is no given value for the population proportion of individuals that have multiple jobs. Let's say, for example, that his proportion is 10%.
You can symbolize the probabilities as:
P(0.14≤X≤0.18)= P(X≤0.18)-P(X≤0.14)
Using the approximation of the standard normal you can standardize these proportion values:
P(Z≤(0.18-0.1)/√[(0.1*0.9)/225])-P(Z≤(0.14-0.1)/√[(0.1*0.9)/225])
P(Z≤4)-P(Z≤2)
Now you have to look for the corresponding values in the table of the Z distribution (right table, positive numbers of Z)
P(Z≤4)-P(Z≤2)= 1 - 0.97725= 0.02275
I hope it helps!
The flat fee(added on at the end) is $1.There is $7 per attendee. If there are 14 people going, how much money is payed?
Here is our equation: (7*14)+1
Let's use GEMDAS/PEMDAS for this equation.
Groups/Parenthesis(7 times 14): 98+1
Addition for answer: 99
Answer: There is a total amount of $99 payed to the charity gala
Put this into the box: 99