Answer:
9
Step-by-step explanation:
Multiply the total number of tiles by the fraction of tiles that are blue
24 *3/8
24/8 *3
3*3
9
X³ - 9x² + 5x - 45
x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT
x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.
x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT
Subtract 6 from 50:
50-6 = 44
Divide 44 by 2:
44/2 = 22
add 6:
22+6 = 28
There is 22 in the smaller class and 28 in the larger class.
Museum admission fee = $12.50
Lunch = 5.95 + 1.25 + 1.69 = $8.89
Tax = 7.25% of 8.89 = 0.66675
Tip = 15% of 8.89 = 1.3335
Total spend for lunch = 8.89 + 0.66675 + 1.3335 = 10.89
Total spend for the day = 10.89 + 12.50 = $23.39
Answer:
0.8343
Step-by-step explanation:
From the question, we have the following values:
Probability of vehicles that pass within the check point that are from within the state = 75% = 0.75
Probability of vehicles that pass within the check point that are from outsode the state = 100 - 75 = 25% = 0.25
P = 0.25
n = number of random variables = 9
The probability that fewer than 4 of the next 9 vehicles are from out of state is calculated as:
P < 4 = P ≤ 3
n = 9
P(x) = n!/(n - x)! x! × p^x × q^(n - x)
x = 3
p = 0.25
q = 0.75
P(x) = 9! /(9 - 3)! × 3! × 0.25^3 × 0.75^(9 - 3)
P(x) =0.8343
