A standard number cube will be painted on each side that has an even number. The length of one side of the cube is 10 mm. What i
1 answer:
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Answer:
and
Step-by-step explanation:
Let
x -----> the altitude of a commercial aircraft
we know that
The expression " A minimum altitude of 29,000 feet" is equal to
All real numbers greater than or equal to 29,000 ft
The expression " A maximum altitude of 41,000 feet" is equal to
All real numbers less than or equal to 41,000 ft
therefore
The compound inequality is equal to
and
All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft
The solution is the interval ------> [29,000,41,000]
Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:
The 3*2*1 cancels out and leaves us with:
So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
6 goes into 38 6 times (6 * 6 = 36). We can bring out a whole number of 6 into our mixed number. Now, we have 2/6 left over. That can be reduced to 1/3. Your mixed number is 