Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.
According to the given question.
A card is drawn from a shuffled standard deck.
Since, the total number of cards in a shuffled standard deck = 52
And, the total number of aces in a shuffled standard deck = 4
As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".
Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards
= 4/52
= 1/13
Hence, the theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.
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∠VUR and ∠QRU are alternate interior angles, the line that links them is Z-shaped, which means that these angles are equal, so that:
14 miles Substitute AB = 3 and BC = 11 in above equation.
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
