Answer: 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%
Answer:
3(x + 6) and 4x + 18 - x
Step-by-step explanation:
Let's solve each option to see whether we would get 3x + 18:
✔️2x + 9 + 2x + 9
Add like terms
2x + 2x + 9 + 9
4x + 18
✔️3(x + 6)
3*x + 3*6
3x + 18 (it is an equivalent)
✔️4x + 18 - x
Add like terms
4x - x + 18
3x + 18 (it is an equivalent)
✔️2(4x + 9)
8x + 18
Therefore, the expressions 3(x + 6) and 4x + 18 - x are equivalent to 3x + 18
The correct answer is -27
There are linear relationships so long as the power of x is 1 when power of y is 1 / power of x is not 2 and above when power of y is 1. This is assuming you plot the vertical axis as y-axis and the horizontal axis as the x-axis.
So using this concept, the equation with linear relationships are:
1, 3, 4, and 5.
Hope this helps! :)
Answer:
The answer is 51+52+53
Step-by-step explanation:
