There are 22 roses in the vase
probability of first selecting a red rose = 8/22 = 4/11

P( second one is red) = 7/21 = 1/3

these probabilities are multiplied because the individual picks are independent
so the answer is 4/11 * 1/4 = 4/33

7 0

3 years ago

Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

saul85 [17]

Answer:

$P(x,y) = (0,\frac{11}{5})$

Step-by-step explanation:

Given

$A = (-2,1)$

$B = (3,4)$

$m:n = 2:3$

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

$P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Where

$(x_1,y_1) = (-2,1)$

$(x_2,y_2) = (3,4)$

$m:n = 2:3$

This gives:

$P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})$

$P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})$

$P(x,y) = (\frac{0}{5},\frac{11}{5})$

$P(x,y) = (0,\frac{11}{5})$

5 0

3 years ago

Whoever helps me will be lucky for the rest of your life

Anvisha [2.4K]

Answer:

A) 3.5

16 shovels full

Step-by-step explanation:

9x + 13 = 17x - 15

8x = 28

x = 3.5

20 + 5x = 32 + 4.25x

0.75x = 12

x = 16

7 0

3 years ago

carlos gets a 5% commission on his sales of shoes this week he sold 300 worth of shoes how much will he receive in commission

harkovskaia [24]

$300.00 × 0.05 = $15.00

6 0

3 years ago