10 friends (6 boys and 4 girls) decided to go to the movies. They only have enough money to buy 7 tickets. What is the probability that 5 boys and 2 girls get the movie tickets?

0.3

Step-by-step explanation:

The number of ways to choose 5 boys from 6 is ₆C₅.

The number of ways to choose 2 girls from 4 is ₄C₂.

The number of ways to choose 7 people from 10 is ₁₀C₇.

P = ₆C₅ ₄C₂ / ₁₀C₇

P = 6 × 6 / 120

P = 0.3

d. 9

step-by-step explanation:

54/12 = 4.5

sf = 4.5

so x = 2 · 4.5 = 9

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.