Examples for college students - last page

Remember: Solve each problem thoughtfully and make sure to show your complete solution for every question.

Number of problems found: 77

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.
Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail?
University bubble
You'll notice that the college is up slowly every other high school. Many people in Slovakia/Czech Republic study political science, mass media communication etc.. Calculate how many times more earns clever 24-year-old mason with a daily net income of 163
Sales
From statistics of sales goods, item A buys 57% of people, and item B buys 76% of people. What is the probability that from 18 people buy 10 item A and 8 item B?
TV fail
After 10,000 hours, the TV has an average of 25 failures. Find the probability of TV failure after 400 hours of operation.
Derivation
Does there exist a function whose derivation is the same function?
Fall
The body was thrown vertically upward at speed v₀ = 39 m/s. Body height versus time describes equation h = v₀ * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach?
Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.

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