Examples for college students - page 3 of 4
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 77
- Matrix 5221
The rank of matrix A is 3. What rank will this matrix have if we add twice the second row to its first row? - Second-order 5170 What is the rank of a second-order square matrix if we can only say that it is singular?
- Second-order 5138 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 4907
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 - 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? - 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? - Determinant 4161 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?
- Determinant 4137
The determinant of matrix A has the value 2. What will be the value of the inverse matrix determinant to matrix A? - Diameter 4111
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. - 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. - 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°. - 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?
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