If f(x)= sqrt(x) - 2 and 1 is less than or equal to x which is less than or equal to 6, find the Riemann sum with n=5, taking the sample points to be midpoints. Give your answer correct to six decimal points.

Q: Consider a sports car which accelerates from 0 ft/sec to 85 ft/sec in 5 seconds (85 ft/sec = 58…

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Q: Find the summation of E3º 12(2r + 5) r3D12

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Q: If Z~N(0,1), calculate Pr(1.55 < Z < 2.65). You can use Excel. Round your answer to three decimal…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: 0 1 2 3 4 where p = 4. Left sum = Right sum = 0 1234

A: p=4

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: We need to find summation.

Q: P(Z<c)=0.1294 Find c rounded to 2 decimal places.

A: It is given that the area to the left of c is 0.1294.

Q: If Z~N(0,1), calculate Pr(2.26 < Z < 2.89). You can use Excel. Round your answer to three decimal…

A: Solution: Let Z be the standard normal distribution.

Q: Perform the following index shifts: i. Write y = E=0 anx" as a series that starts at n = 2 ii. Write…

A: According to bartleby guidelines we give answer of first three subparts and rest part can be…

Q: Find the numerical value of the following expression by finding the pattern. Without using the…

A: This is problem is solved  by finding the pattern of the expression

Q: P(z < c) = 0.4311 Find c rounded to two decimal places.

A: Obtain the value of c. The value of c is obtained below as follows:

Q: The average number of fish per square kilometer in a lake is determined by the SDD 400xt 200 +0.2xt…

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Q: (c) Consider the information given above and suppose that the number 10 was observed on 26 occasions…

A: here we data id provided that dice has 13 sides and it is rolled 208 times.

Q: t (seconds) 0 4 8 12 16 Velocity (ft/sec) 0 11 22 43 69 A. Estimate how far the car traveled during…

A: We have to estimate the distance travelled using left and right sums.

Q: The Riemann sum approximates the net decrease in the volume of the balloon from t = 1 minute to t =…

A: The given table is  To find: the right options.

Q: Describe how the inverse transform method is used to generate a sequence of 5 service times (unit:…

A: We are required to generate 5 simulated numbers using the given decimal numbers lying between 0 and…

Q: am that will be providing income in the future. The present value is useful in deciding when to…

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Q: Find P(X = 3, Y=3) Round your answer to 3 decimal places. 10 1 2 3 1X0 1 2 3 0.20 0.15 0.10 0.05…

A: Given data is  Y\X 0 1 2 3 0 0.20 0.15 0.10 0.05 1 0.12 0.09 0.06 0.03 2 0.04 0.03 0.02…

Q: For Exercise, find the sum. E(-3k") k=1 – 3k')

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Q: You really struggle remembering to bring your lunch to work. Each day seems to be independent as to…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A cabinet maker monitors the number of defects in their cabinets. They have a historical average of

A: Solution is given below

Q: Perform the summation below using the following set of data: 4, 5, 5, 6, 7, 8. Σ (422 - 5)

A: The answer for the given summation problem is 830

Q: Fill in the table below (last row is for sums) ry 16 8 18 (last row of table is for sums) 7. 4. 9,

A: Provided data is:   x 7 4 9 y 16 8 18   The correlation can be calculated…

Q: Q2: The following values are recorded for the variables x and y are: x, = 1.5, x,= 3.5, 13= 0.7, x4…

A: Given information: The bivariate data in terms of X and Y is provided as follows: i Xi Yi 1 1.5…

Q: time (seconds) 05 10 velocity (ft/sec) 0 -3 6 A remote control car drove on a straight track.…

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Q: (a) Find the t-value such that the area in the right tail is 0.02 with 23 degrees of freedom. (Round…

A: In this given problem, The t table provided by the student is not sufficient because it is giving…

Q: Find the sum of E=1n(n+ 1)æ" = ? 00 for Q < æ <

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Q: P(0.32<z<k)=0.3583, k=? round to two decimal places

A: We have value of k...

Q: What is the value of P(Z< -0.21)? Please report your answer in 3 decimal places_

A: given data  standard normal distribution Z~N(0,1) P(z&lt;-0.21) = ?

Q: Find the following sum:

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Q: For a group of individuals all age (x), given: 25% are smokers (s) and 75% are non-smoker (ns) i =…

A: Given, 25% are smokers(s) and 75% are non-smokers(ns) i=0.02 It is a mixed distribution and the…

Q: A car is accelerating along a race track in a straight line. Its speed (in feet per second) is given…

A: To approximate using right-hand sum, we need to consider the right height of the rectangles.  The…

Q: If Z~N(0,1), calculate Pr(2.73 < Z < 2.87). You can use Excel. Round your answer to three decimal…

A: The required probability is given as P(2.73&lt;Z&lt;2.87)=P(Z&gt;2.73)-P(Z&gt;2.83)…

Q: Let f(x) = x sin x and P = {0, 7/3, 27/3, 7, 3T/2}. Compute the left sum, right sum, and midpoint…

A: NOTE: Due to time limit answer for first question is given here, for second question please ask in a…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.