C) Consider the time 3:40pm where the initial side is the hour hand and terminal side is theminute hand. Draw the angle between the two hands in standard position. State the angle in

positive degrees and then restate the angle as a negative angle. (2 pts.)

Answer:

By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.

Step-by-step explanation:

Chebyshev's theorem states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 26,400

Standard deviation = 1200

Between $22,800 and $30,000

22800 = 26400 - 3*1200

So 22800 is 3 standard deviations below the mean

30000 = 26400 + 3*1200

So 30000 is 3 standard deviations above the mean.

By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.

Final answer:

Using Chebyshev's theorem, we conclude that at least 88.9% of recent graduates have salaries between $22,800 and $30,000, given a mean salary of $26,400 and a standard deviation of $1200.

Explanation:

The question is asking for the minimum percentage of recent graduates who have salaries within a specific range using Chebyshev's Theorem. By definition, Chebyshev's theorem states that at least 1 - 1/k^2 of data from a sample will fall within k standard deviations from the mean, where k is any number greater than 1. The range in this question can be represented as being within 3 standard deviations from the mean (because ($30,000 - $26,400)/$1200 = 3 and ($26,400 - $22,800)/$1200 = 3). Thus, the minimum percentage of recent graduates having salaries within this range is at least 1 - (1/3^2) = 1 - 1/9 = 8/9 = 88.9%. So, at least 88.9% of the recent graduates fall within this salary range according to Chebyshev's theorem.

Learn more about Chebyshev's Theorem here:

brainly.com/question/34274356

#SPJ3

The value of ABC is 340.

The multiplication problem can be written as follows:

ABC

x 3

-----

BBBB

The product of the two numbers is a 4-digit number, so the product of the units digits must be 4. Since 3 x 4 = 12, and the product of the units digits is 4, the units digit of the product is 4, and the carryover is 1.

The product of the tens digits must be a multiple of 10, since the product of the units digits is 4 and the carryover is 1. The only possibility is 3 x B = 1B, where B is an even digit. Since B is a single digit, the only even digit that works is 4. Therefore, B = 4, and the carryover is 1.

The product of the hundreds digits must be a multiple of 100, since the product of the tens digits is a multiple of 10 and the carryover is 1. The only possibility is 3 x A + 1 = 1A, where A is a digit greater than or equal to 3. Since A is a single digit, the only digit greater than or equal to 3 that works is 3. Therefore, A = 3, and the product of the hundreds digits is 10.

The product of the thousands digits must be 0, since the product of the hundreds digits is 10 and the carryover is 0. Therefore, C = 0.

Therefore, the value of ABC is 340.

For such more question on value

brainly.com/question/30390056

#SPJ2

Answer:

ABC = 148, 3*148 = 444

Step-by-step explanation:

We know that 111 = 3*  37, so all numbers of the form BBB has the factor 37.

So we need a multiple of 37 such thant when multiplied, we get three digits the same as the middle digit.

Try 4*37 = 148, 148*3 = 444, bingo, we got the right combination.

So ABC is 148.

Answer: You got to multiply 22,000 times 5 and that will equal 110,000

Step-by-step explanation:

Final answer:

To have a final balance of $22,000 in a CD account after 5 years with continuous compounding at an interest rate of 6.625%, Steven needs to initially deposit approximately $15,895.68.

Explanation:

To calculate how much principal Steven should start with in his CD account, we need to use the formula for continuous compounding, which is A = Pe^(rt), where:

• A is the amount of money accumulated after n years, including interest.
• P is the principal amount (the initial amount of money).
• e is the base of the natural logarithm, approximately equal to 2.71828.
• r is the annual interest rate (decimal).
• t is the time the money is invested for in years.

In Steven's case, he wants A = $22,000 after t = 5 years, at an interest rate r of 6.625% or 0.06625 in decimal format. Substituting these values into our formula and solving for P, we get:

P = A / e^(rt)

P = 22000 / e^(0.06625 * 5)

After calculating this expression, we find that Steven needs to deposit approximately $15,895.68 into his CD account to have $22,000 after 5 years with continuousinterest compounding at 6.625%.

Learn more about Continuous Compounding here:

brainly.com/question/36501885

#SPJ2