College

1. Find the mean of the set of numbers: [tex]16, 10, 5, 9, 10, 7, 3, 20[/tex]

2. Solve: [tex]609 + 37 = 812[/tex]

3. Solve: [tex]1876 - 618 =[/tex]

4. Solve: [tex]34 \times 97 =[/tex]

5. Solve: [tex]26 \div 324 =[/tex]

6. The heights of Michele's family members are 67 inches, 81 inches, 70 inches, and 68 inches. Find the range in height of Michele's family members.

7. Convert 3:15 P.M. Standard Time to Universal Time.

Answer :

Sure, I'd be happy to provide a step-by-step solution for each part of the question.

1. Find the mean of the set of numbers: [tex]\(16, 10, 5, 9, 10, 7, 3, 20\)[/tex]

To find the mean, add all the numbers together and then divide by the number of numbers.
[tex]\[ \text{Sum} = 16 + 10 + 5 + 9 + 10 + 7 + 3 + 20 = 80 \][/tex]
[tex]\[ \text{Number of items} = 8 \][/tex]
[tex]\[ \text{Mean} = \frac{\text{Sum}}{\text{Number of items}} = \frac{80}{8} = 10 \][/tex]

So, the mean is 10.0.

2. Compute [tex]\(609 + 37\)[/tex]

[tex]\[ 609 + 37 = 646 \][/tex]

3. Compute [tex]\(1876 - 618\)[/tex]

[tex]\[ 1876 - 618 = 1258 \][/tex]

4. Compute [tex]\(34 \times 97\)[/tex]

[tex]\[ 34 \times 97 = 3298 \][/tex]

5. Compute [tex]\(324 \div 26\)[/tex]

[tex]\[ 324 \div 26 \approx 12 \text{ (quotient, excluding the remainder)} \][/tex]

6. Find the range in height of Michele's family members: 67 inches, 81 inches, 70 inches, and 68 inches

To find the range, subtract the smallest number from the largest number.
[tex]\[ \text{Range} = 81 - 67 = 14 \][/tex]

The range in height is 14 inches.

7. Convert 3:15 P.M. Standard time to Universal time

If the local time is in UTC, then 3:15 P.M. in 24-hour format is 15:15.

So the Universal time is 15:15 UTC.

I hope this helps! Let me know if you have any other questions.