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Calculate the pressure in kPa, produced by a piston that applies a force of 12 kN, in the oil contained in a closed cylinder. Plunger diameter It is 75mm.

We must carry out the process of distributing the number of users with whom two work. members of a social project. However, one has more time available and can work with 40 more users than the other. If it is considered that we will carry out the project with a Approximately 290 users. How many users will each one work with? Generalize the situation previous in an equation

Design a footing for a column with a section of 30 × 70 cm, with a load of 1,000 kN, for an allowable soil stress of \sigma_{adm}=0.450 MPa.

They offer to sell you a motorcycle on credit payable in 24 equal advance monthly installments of $200,000. If the effective monthly interest rate is 2.5%, and it is estimated that it will remain constant for the next 2 years. What is the cash price of the motorcycle?

On January 1, 1990, 50 frogs are released at a lake that previously had no frogs. 12 years later, it is estimated that there are 12,000 frogs around the lake. Assume that the annual percentage increase in the frog population has been the same over this time period. Determine in which year there are one million frogs at the lake if the population continues to increase exponentially at the same rate.

After deducting 15% discount and 3% cash discount, the cash price including 20% VAT is €4,350.00. How much was the value of the goods?

How many integers between 100 and 999, inclusive, have all their digits odd and distinct?

68fivifed by what equals 3

You conduct a poll of FIU students in order to determine the percentage of students (p) who agree with the statement “Hot-dogs are one of my favorite foods”. In your poll, you find that 80 out of 100 students agree. You conduct a two-sided hypothesis test where H0: p = 0.7, where p is the proportion of students whose favorite food is hot dogs. Which of the following statements are true: I. You reject the null hypothesis when α = 0.05 II. You reject the null hypothesis when α = 0.01 III. The test statistic (Z) equals Z = +1.5

It takes 14 days to make a work 15 meters long, 8 meters wide and 4.75 meters high, at a rate of 6 hours of work each day. If 8 days are spent making another work of the same width and twice the length, working 7 hours a day with the difficulty of this work being 3/4 of the previous one, what is the height of the work?