The total amount Serena earns is the sum of her regular wage and the tips. The amount she earns from the wage is equal to 9h. This total should be more than or equal to $110. This is mathematically expressed as,
9h + 15 ≥ 110
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
x + 55° + 55° = 180°
x = 70°
The appropriate choice is the 2nd one:
70°
4/11 is 0.363636363636
And "36" just keeps repeating
The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
Read more at; brainly.com/question/24239758
