Answer: 0.444225
Step-by-step explanation:
Given : The total number of tickets = 50
Number of tickets are randomly sampled without replacement =6
Since the order of selection is not important , so we use combinations.
Total number of ways to select 6 tickets = 
The number of winning tickets = 6
So, number of tickets that are not winning = 50-6=44
Number of ways of selecting zero winning numbers= 
Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be 
Hence, the required probability = 0.444225
Answer:
<h3>
A Geometric sequence with common ratio 3</h3>
Step-by-step explanation:
A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers
ratio between 2 adjacent numbers in a sequence will be a constant and is called common ratio.
in the given sequence the ratio between any pair of adjacent numbers is 3.
∵ this is a geometric sequence with common ratio 3
Answer:
Step-by-step explanation:
Area = pi*r^2
Area = pi*9^2
Area =
Answer:
a) 50S + 30C ≤ 800
b) 1) MAX = S + C
2) Max = 0.03S + 0.05C
3) Max = 6S + 5C
Step-by-step explanation:
Given:
Total space = 800 square feet
Each sofa = 50 square feet
Each chair = 30 square feet
At least 5 sofas and 5 chairs are to be displayed.
a) Write a mathematical model representing the store's constraints:
Let S denote number of sofas displayed and C denote number of chairs displayed.
The mathematical model will be:
50S + 30C ≤ 800
At least 5 sofas are to be dispayed: S ≥ 5
At least 5 chairs are to be displayed: C ≥ 5
b)
1) Maximize the total pieces of furniture displayed:
S + C = MAX
2) Maximize the total expected number of daily sales:
MAX = 0.03S + 0.05C
3) Maximize the total expected daily profit:
Given:
Profit on sofas = $200
Profit on chairs = $100
Max Expected daily profit =
Max = (200S * 0.03) + (100C * 0.05)
<em>Max = 6S + 5C</em>
Answer:
(x-6)(x-4) = 0
Step-by-step explanation:
Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2. Now put two linear factors into parathesis to get (x-6)(x-4) = 0.
