Domain; [-3, ∞), {x ≥ -3}
range; [0, ∞), {y ≥ 0}
Answer:
125,000
Step-by-step explanation:
Multiply 500 by 2.50
Answer:
If she wants at least one comedy, there are 1484 different combinations.
Step-by-step explanation:
The order in which she wants to pick the movies is not important. So, we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
She wants combinations of 3 movies, with at least one comedy. The easiest way to find this is finding the total number of combinations of 3 movies, from the set of 25(18 children's and 7 comedies), and subtract by the total number without comedies(which is 3 from a set of 25). So
Total:
3 from a set of 25.
Without comedies:
3 from a set of 18.
At least one comedy:
If she wants at least one comedy, there are 1484 different combinations.
4 + 5(x - 7)²
4 + 5(8 - 7)²
4 + 5(1)²
4 + 5(1)
4 + 5
9
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%