Examples for college students - page 4 of 5
Remember: Solve each problem thoughtfully and make sure to show your complete solution for every question.Number of problems found: 87
- Unknown number
I think number. If I subtract from the twelfth square the ninth square, I get a number 27 times greater than the intended number. What is this unknown number? - Distribution function
X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5 < ξ < 3.25) p(2.8 < ξ) and p(3.25 > ξ) - The projection
In axonometry, construct the projection of a perpendicular 4-sided pyramid with a square base ABCD in the plane. The base triangle gives the axonometry. We know the center of the base S, the point of the base A, and the height of the pyramid v. - Statistical example
Calculate in the set of patients (attached table 1) A) using the table editor EXCEL B) with the program "Social Science Statistics Calculator" (SSSC) on the web page a) the average age of the patients and the standard deviation (STDEV) b) the average dura - Area and two angles
Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°. - Maximize profit
The manufacturer is deciding whether to carry out a check on his products or to ship the products without check and in case of a defective product to repair it at his expense within the warranty. At the time of the decision about the introduction of outpu - Joint-stock company
In a joint-stock company workers were employed, divided into two categories according to the degree of automation of the production processes. In the workshop with a low degree of automation of production processes worked 25% of all workers, and in this d - Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w - Jar
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca - Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this? - SD - mean
The mean is 10, and the standard deviation is 3.5. If the data set contains 40 data values, approximately how many of the data values will fall within the range of 6.5 to 13.5? - Balls
We have n identical balls (numbered 1-n) selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides wi - Decides
Decide by calculation how many candidates out of a total of 1000 candidates for the position of CEO meet the eligibility requirements for the desired performance of this top management position with at least 67% probability - provided, of course, that the - Goat
The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Nuts, girl and boys
Milena collected fallen nuts and called a bunch of boys to let them share. She took a condition: the first boy takes one nut and a tenth of the rest, the second takes two nuts and a tenth new rest, the third takes three nuts and a tenth new rest, and so o - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Hot air balloon
A hot air balloon ascends 25 meters for a minute after launch. Every minute, it ascends 75 percent of the height it climbed in the previous minute. a) How many meters will ascend six minutes after takeoff? b) What is the overall height of the 10 minutes a - Euclidean distance
Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price.
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