11.) Write each ratio as a fraction in simplest form. Then explain its meaning. 1 pointtriangles to rectangles
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Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

Answer

5-n

Step-by-step explanation:

Answer:

1.80 * 10^19

Step-by-step explanation:

If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.

We select this 4 different songs using the combination formula for selection and multiply our results.

This means we have:

12C4 for blues,

25C4 for country

21C4 for disco.

This gives:

=12C4 * 25C4 * 21C4

= 495 * 12650 * 5985

And the order they can be played = 12!.

We then multiply the number of ways to get these songs by the order they can come in.

That is:

=495 * 12650 * 5985 * 12!

= 1.7951 * 10^19

= 1.80 * 10^19 (nearest hundredth).

Final answer:

DJ Davon can make approximately 3.57 x 10^21 different playlists, if he includes an equal number of blues, country, and disco songs. This calculation utilizes combination and permutation formulas.

Explanation:

DJ Davon wants to play an equal number of blues, country, and disco songs, which means he will play 4 songs from each genre. The number of ways to select 4 songs out of each genre is represented by the combination formula C(n,r) = n! / [r!(n-r)!].

So, for each genre, the number of ways to select 4 songs is:
Blues: C(14,4) = 1001
Country: C(25,4) = 12,650
Disco: C(21,4) = 5985.

After the songs are selected, the order of the playlist matters, so we use the permutation formula. Given 12 slots for the songs, the number of ways to order them is P(n) = n!, which for 12 is 479,001,600. The total number of different playlists is product of blues, country and disco song combinations and the permutations, which gives 3.57 x 10^21. This rounded to the hundredths place in scientific notation is 3.57 x 10^21.

Learn more about Combinations and Permutations here:

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Answer:

82%

Step-by-step explanation:

0.82x100=82

=82%

Hope this helps

Answer:

B. 82%

Step-by-step explanation:

.82 can also be written as 82/100 and 82/100 can be turned into 82% because they are all based on 100

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

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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: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation: