1) 1/2
2) 7/8
3) 4
4) 19/8 = 2 3/8
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
There are 5 even numbers from 1 to 10.
The number of ways to draw all even numbers is 5!/(2!*3!) = 10
The number of ways to draw from the hat is 10!/(7!*3!) = 128
Therefore the probability is 10/128 = 5/64 or roughly 7.81%
Answer:24
Step-by-step explanation: