If x+ 1/x=8, find x^2+ 1/x^2​

26.17%

Step-by-step explanation:

Probability she scored at least 8 goals = probability that she scores 8 goals + probability that she scores 9 goals + probability that she scores 10goals.

Probability of each goal is approximated by the probability distribution formula for selection. From a larger n sample, with a varied sample r, probability is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where p = probability of success = 65% = 0.65

q = 1-p = 1 - 0.65 = 0.35

n = 10

r is varied between 8, 9 and 10.

When r = 8

P(X=8) = 10C8 × 0.65^8 × 0.35² = 0.1757

When r = 9

P(X=9) = 10C9 × 0.65^9 × 0.35¹ = 0.0725

When r = 10

P(X=10) = 10C10 × 0.65^10 × 0.35^0 = 0.0135

Summation of all probabilities = 0.1757 + 0.0725 + 0.0135 = 0.2617

Probability of scoring at least 8goals = 0.2617 = 26.17%