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1 year ago

a rectangle on a coordinate plane is translated 5 units up and 3 units to the left. which rule describes the translation?

Mathematics

2 answers:

andre [41]1 year ago

9 0

The correct answer is (x, y) → (x – 3, y + 5)

Ymorist [56]1 year ago

5 0

The correct answer is c

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The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828

solong [7]

Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

We can see that the number of data points at and below 41 is 13.

We will use percentile formula to solve our given problem.

$\text{Percentile rank of x}=\frac{\text{Number of values below x}}{\text{Total number of data points}}\times 100$

$\text{Percentile rank of 41}=\frac{13}{36}\times 100$

$\text{Percentile rank of 41}=0.361111\times 100$

$\text{Percentile rank of 41}=36.11\approx 37$

Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.

8 0

2 years ago

Stephen says that the numbers 38 and 40 are relatively prime. explain why he is incorrect in making this statement

bonufazy [111]

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

I hope I answered your question. Thank you J

5 0

2 years ago

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What is the recursive formula for this arithmetic sequence? -4, 3, 10, 17, ...

MatroZZZ [7]

a1 = 3
an = a (n-1) +7

5 0

1 year ago

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Jerry goes to the bank and borrows $9,000 for farm equipment. The simple yearly interest is 9.5% and he pays off the loan over a

creativ13 [48]

To solve this problem you must appply the formula for simple interest, which is:

I = RxPxN

I: Simple Interest.
R:Rate (9.5$/100=0.095/12).
P: The principal (P=$9000).
N:number of periods (N=24).

When you substitute these values into the formula, you obtain:

I=RxPxN
I=(0.095/12)x9000x24
I=$1710

Therefore, the monthly payment is:

$1710/24=$71.25

What is Jerry's monthly payment?

The answer is: Jerry's monthly payment is $71.25

4 0

1 year ago

Determine the total annual FICA tax for an annual salary of $165,000. Use $106,800 for maximum taxable earnings.

Slav-nsk [51]

The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are: 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000 In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65% The FICA tax will be 165,000 * 0.0765 FICA tax = $12,622.50

7 0

2 years ago

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