Divide a two - digit number by another two - digit number. The quotient and remainder are equal

Divide a two - digit number by another two - digit number. The quotient and remainder are equal

99/10=9…… nine
So it's 99

A mathematical problem: if P and P + 2 are prime numbers and P is greater than 3, find the remainder of P divided by 3

P and P + 2 are both prime numbers. There are only three kinds of remainder obtained by dividing any number by 3: 0, 1 and 2. If the remainder = 0, then p is a multiple of 3, because P is a prime number, then p can only be 3. If the remainder = 1, then p + 2 is a multiple of 3, and P + 2 is a prime number, then p can only be 3. But p cannot be 1, which is not true. If the remainder = 2, then the remainder obtained by dividing P + 2 by 3 is 1, which is true

How to translate the image of function y = 1 / X to get function y = 2-x / X-1

Y = 2-x / X-1 y = - (X-2 / x-1) y = (X-1-1 / x-1) y = 1 - (1 / x) y = - (1 / x) + 1 y = 1 / X flip along the y-axis to get y = - (1 / x), and then move up one unit to get y = - (1 / x) + 1, which is y = 2-x / X-1

There are three points a, B and C on the number axis, if the number corresponding to point a is - 2, and the distance between two points AB is 3

What's the problem

Joint probability density in probability theory
In shooting, the coordinates x and y of the impact point a (x, y) are independent of each other and obey the n (0,1) distribution
Point a falls in the region D1 = {(x, y) | x ^ 2 + y ^ 2 ≤ 1} and gets 2 points;
Point a falls in area D2 = {(x, y) | 1 ＜ x ^ 2 + y ^ 2 ≤ 4} and gets 1 point;
Point a falls in area D3 = {(x, y) | x ^ 2 + y ^ 2 ＞ 4} and gets 0 point;
Write the joint probability density of X and y, and find the distribution law of Z

It is known that the probability densities of X and y are
p(x)=(1/√2π)e^(-x²/2)
p(y)=(1/√2π)e^(-y²/2)
And because X and y are independent of each other, the joint probability density of (x, y) is 0
p(x,y)=p(x)p(y)=(1/2π)e^[-(x²+y²)/2]
All possible values of Z are 0,1,2
P(Z=2)=∫∫D1 p(x,y)dxdy=1-e^(-1/2)
P(Z=1)=∫∫D2 p(x,y)dxdy=e^(-1/2)-e^(-2)
P(Z=0)=∫∫D3 p(x,y)dxdy=e^(-2)
Where D1, D2, D3, is the area given by the title, using polar coordinates to calculate the above double integral!
If you don't understand, you can ask. If you are satisfied, please click "select as satisfactory answer"

Matlab uses for statement to write y = sin (314 * t) and plot
It seems that the figures are all dots

for i=1:1:100
y(i)=sin(pi*i/10);
end
t=1:1:100;
plot(t,y,'r.-');

1. 5 / 2 of a is equal to 7 / 3 of B, a: B = (): ()
2. 5 / 3 kg: 60 kg, written as the simplest integer ratio is (), the ratio is ()
3. The ratio of radius to circumference of a circle is (): ()
4. A: B: C: = (): ()
5. When shopping malls buy two brands of mobile phones, their unit price ratio is 3:2, the quantity ratio is 4:3, and their total price ratio is ()

1. 5 / 2 of a equals 7 / 3 of B, a: B = (14): (15)
2. 5 / 3 kg: 60 kg, the simplest integer ratio is (1:36), and the ratio is (1 / 36)
3. The ratio of radius to circumference of a circle is (1:): (6.28)
4. A: B: C: = (8): (6): (3)
5. When shopping malls buy two brands of mobile phones, the unit price ratio is 3:2, the quantity ratio is 4:3, and the total price ratio is (2:1)

Divide the trapezoid into two figures to form a parallelogram, triangle and equal area

In the trapezoidal ABCD, the upper bottom ad = a, the lower bottom BC = 3A, the AE parallel CD intersects BC at e, and the height is h,
Then the area of triangle Abe = 1 / 2 * 2A * H = ah, the area of parallelogram = a * H = ah
OK

Let the image with inverse scale function y = K / X pass through two points a (2.1) and B (A. - 6). (1) find the analytic expression of inverse scale function. (2) find the coordinates of point B

Because y = K / X passes through point a (2.1), then 1 = K / 2, and the solution is k = 2;
The analytic expression of inverse proportion function is y = 2 / X
Because y = 2 / X passes through point B (A. - 6), then: - 6 = 2 / A, and the solution is a = - 1 / 3
Then the coordinate of B is (- 1 / 3. - 6)

If the square of x minus 14x plus the square of M is a complete square, then M =?

(x-14/2)^2=x^2-14x+49
So m = 49