Examples for college students - page 3 of 5
Remember: Solve each problem thoughtfully and make sure to show your complete solution for every question.Number of problems found: 87
- Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability of 0.04. The problem is reso - Bulbs - short lifespan
The life of the bulbs has a normal distribution with a mean value of 2000 hours and a standard deviation of 200 hours. What is the probability that the light bulb will last for at least 2100 hours? - Normal Distribution Probability
The waiting time in the buffet is governed by the normal distribution with a mean value of 130 seconds and a variance of 400. What is the probability that someone will wait less than a minute and a half? - Geometric Sequence Terms Quotient
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - University students
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Matrix Row Operation Rank
The rank of matrix A is 3. What rank will this matrix have if we add twice the second row to its first row? - Singular Matrix Rank
What is the rank of a second-order square matrix if we can only say that it is singular? - Regular Matrix Rank
What is the rank of a second-order square matrix if we can say that this matrix is regular? - The determinant
The determinant of the unit matrix equals 7. Check how many rows the A matrix contains. - Distribution function
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - The little pub
In an unnamed Prague pub, the Czech Trade Inspection (ČOI) measured draft large beers. From thirty measured half-liters, the sample mean was 0.457085 l and the sample standard deviation was 0.00303. Test at the 1% and 5% significance level the hypothesis - A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c. - Inverse matrix
Find how many times the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix. - The inverse
The inverse matrix for matrix A has a determinant value of 0.333. What value is a determinant of matrix A? - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares? - Matrix determinant
The determinant of the inverse matrix to matrix B has a value of 0.25. What is the value of the determinant of matrix B? - Matrix determinant
The determinant of matrix A has the value 2. What will be the value of the inverse matrix determinant to matrix A? - Balls in circle
How many balls with a diameter of 3.25 cm with a mixture in a circle with a diameter of 27 cm? - Two girl's numbers
Dagmar and Julka had numbers. Dagmar's number was equal to the square root of Julka's number. The sum of Dagmar's and Julka's numbers equals 84. Find what number Dagmar and Julka had.
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