Answer : 25/51
The probability of drawing two red cards without replacement is 25/102 , and the probability of drawing one red card is 1/2 .
probability(drawing a second red card, given that the first card is red)
= Probability (drawing two red cards without replacement) divide by probability (drawing a one red card)
probability(drawing a second red card, given that the first card is red)
= ![\frac{\frac{25}{102}}{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B25%7D%7B102%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
= ![\frac{25}{102} * \frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B102%7D%20%2A%20%5Cfrac%7B2%7D%7B1%7D)
= ![\frac{50}{102}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B102%7D)
= ![\frac{25}{51}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B51%7D)
<h3><u>The function used to find the perimeter of a square, represented by y, given the length of a side, represented by x is: y = 4x</u></h3>
<em><u>Solution:</u></em>
Let "y" be the perimeter of square
Let the length of side be "x"
From given,
The perimeter of a square is the product of four and the length of a side
Which means,
![\text{Perimeter of square } = 4 \times \text{ length of side }](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20square%20%7D%20%3D%204%20%5Ctimes%20%5Ctext%7B%20length%20of%20side%20%7D)
Substituting the given variables,
![y = 4 \times x\\\\y = 4x](https://tex.z-dn.net/?f=y%20%3D%204%20%5Ctimes%20x%5C%5C%5C%5Cy%20%3D%204x)
Thus perimeter of square is y = 4x
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-2, -2) and (-4, 1). Substitute:
![m=\dfrac{1-(-2)}{-4-(-2)}=\dfrac{1+2}{-4+2}=\dfrac{3}{-2}=-\dfrac{3}{2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1-%28-2%29%7D%7B-4-%28-2%29%7D%3D%5Cdfrac%7B1%2B2%7D%7B-4%2B2%7D%3D%5Cdfrac%7B3%7D%7B-2%7D%3D-%5Cdfrac%7B3%7D%7B2%7D)
<h3>Answer: slope =
![-\dfrac{3}{2}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B2%7D)
</h3>
Answer:
-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
Add -1 and -4
Multiply -5 * 4
Add 20 and -20
Answer: The power is reduced by one from the
Dividend. -3x^2 – x - 5
Step-by-step explanation: