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Determine the largest and smallest value in the range 1 ≤ x ≤ 3 for the function f(x)= x^2 -x + 1

A body of mass 3kg is subjected to the action of two forces of 6N and 4N arranged perpendicularly. determine the total force applied

Here you will receive one confidence interval question. You will need to calculate a confidence interval AND use it to determine whether we will reject or fail to reject a null hypothesis. You can take it as many times as you'd like.  A researcher wanted to know whether novels that are being written during the pandemic are of a different length than normal. She took ten novels written during the pandemic and found that they had a mean length of 345 pages (SD = 11). If the average length for a novel normally is 320 pages, conduct a 95% confidence interval for these data and use it to determine whether she should reject or fail to reject her null hypothesis. Don't forget to write your hypotheses for this problem as well.

Let Z be a N (0.1). Determine the following probabilities a) P (-1.5 <Z<1,5) b) P (Z<0,2) c) P(0<2<2,5) d) P(Z> -2.5)

9)If you invest $19,000 at an annual rate of return of 6%, using the Rule of 72, how many years will it take to double? Round your answer to the nearest whole number.

The magazine mass marketing company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.5. What is the probability that no more than 12 of the entry forms will include an order?

Eugenia has a plot in which she has decided that 2/3 of the land will be used for planting. Of This part, 1/4 will be dedicated to planting lettuce. What total part of the plot's land will be intended for growing lettuce?

Calculate the volume of a trapezoidal prism where b1=3p-6, b2=2p+5, h=4p-8, and a height of 18 cm

Given the cantilevered isostatic beam shown below, determine the support reactions and diagrams of DEC and DMF efforts. A 2.00 m w1 (kN/m) 3.00 m Structures - Fund. Stability and Resistance w3 (kN/m) AB 1.00 m P3 (kN) w2 (kN/m) 4.00 m 2.00 m P1 (kN) P2 (kN) P3 (kN) RA: 0 0 0 00 22 P1 = (7 + 0) kN P2 = (5 + 2) kN P3 = (4 + 2) kN w1 = (3 + 0) kN/m

Suppose that in the market for good X there are 4000 consumers, with an individual demand curve given by: 𝑄 𝐷 = 30 − 0.75𝑃. There are also 100 producers, each of which has a supply curve given by: 𝑄 𝑆 = −300 + 20𝑃 Page 5 of 12 2.1.1. Determine the equilibrium price and quantity in this Marketplace. Represent graphically.