The sum of three consecutive integers is 267 what is the largest integer

Answers

Answer 1
Answer: Well 88 + 89 + 90 = 267. So the largest integer is 90.
Answer 2
Answer: If we cal lthe first number 'n' then we know that the numbers are n, n+1 and n+2 and we know the sum:
n+(n+1)+(n+2)=267
therefore:
3n+3=267
3n=264
n=88

The numbers are 88,89,90, the largest of which is 90.

To check: 88+89+90=267. Checks.

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What is the answers ?

Find the distance between A and B

Answers

Answer:

The distance between A and B is 2.6

Step-by-step explanation:

We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.

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day

Answer:

27 cm or 2in and 6cm!

Step-by-step explanation:

count the lines.

Compare the mean and standard deviation of Set A and Set B.Set A: 7, 3, 4, 9, 2
Set B: 5, 8, 7, 6, 4

Answers

Set A: {7, 3, 4, 9, 2}
Finding the Mean of Set A: \bar{x} = (7 + 3 + 4 + 9 + 2)/(5)
                                            \bar{x} = (25)/(5)
                                            \bar{x} = 5

Finding the Standard of Set A: \sigma = \sqrt{\frac{(\bar{x} - x_(1))^(2) + (\bar{x} - x_(2))^(2) + (\bar{x} - x_(3))^(2) + (\bar{x} - x_(4))^(2) + (\bar{x} - x_(5))^(2)}{n}}
                                                  \sigma = \sqrt{((5 - 7)^(2) + (5 - 3)^(2) + (5 - 4)^(2) + (5 - 9)^(2) + (5 - 2)^(2))/(5)}
                                                  \sigma = \sqrt{((-2)^(2) + (2)^(2) + (1)^(2) + (-4)^(2) + (3)^(2))/(5)}
                                                  \sigma = \sqrt{(4 + 4 + 1 + 16 + 9)/(5)}
                                                  \sigma = \sqrt{(34)/(5)}
                                                  \sigma = √(6.8)
                                                  \sigma \approx 2.6

Finding the Mean of Set B: \bar{x} = (5 + 8 + 7 + 6 + 4)/(5)
                                            \bar{x} = (30)/(5)
                                            \bar{x} = 6

Finding the Standard Deviation of Set B: \sigma = \sqrt{\frac{(\bar{x} - x_(1))^(2) + (bar{x} - x_(2))^(2) + (\bar{x} - x_(3))^(2) + (\bar{x} - x_(4))^(2) + (\bar{x} - x_(5))}{n}}
                                                                 \sigma = \sqrt{((6 - 5)^(2) + (6 - 8)^(2) + (6 - 7)^(2) + (6 - 6)^(2) + (6 - 4)^(2))/(5)}
                                                                 \sigma = \sqrt{((1)^(2) + (-2)^(2) + (-1)^(2) + (0)^(2) + (2)^(2))/(5)}
                                                                 \sigma = \sqrt{(1 + 4 + 1 + 0 + 4)/(5)}
                                                                 \sigma = \sqrt{(10)/(2)}
                                                                 \sigma = √(5)
                                                                 \sigma \approx 2.236

The mean and standard deviation of Sets A and B are different.

Final answer:

Mean of Set A is 5 and Set B is 6. Standard deviation of Set A is approximately 2.83, and for Set B, it's approximately 1.67. This indicates that values in Set B are generally closer to their mean than values in Set A to their mean.

Explanation:

To compare the mean and standard deviation of Set A and Set B, we first need to calculate these for each set. Mean is the average of the numbers and standard deviation is a measure of the amount of variation or dispersion of a set of values.

First, calculate the mean by adding the numbers in each set and dividing by the total number of values. For Set A, the mean is (7+3+4+9+2)/5 = 5. For Set B, the mean is (5+8+7+6+4)/5 = 6.

The standard deviation is a bit more complex, as it involves subtracting the mean from each value, squaring the result, finding the mean of these squares, and then taking the square root of that mean. For Set A, these steps result in a standard deviation of approximately 2.83. For Set B, these steps result in a standard deviation of approximately 1.67.

In conclusion, Set B has a higher mean and a lower standard deviation compared to Set A which means values in Set B are generally closer to the mean of Set B than values in Set A are to the mean of Set A.

Learn more about Mean and Standard Deviation here:

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In a right triangle, find the length of the side not given, if a=8 and b=15

Answers

to find the length of a missing side of a right triangle you have to use the Pythagorean theorem. so 8*8=64 15*15=225 so to find side c you add the two answers 225+64 and the answer is and find the square root which is 17. Hope this helps

       a² + b² = c²
(8)² + (15)² = c²
   64 + 225 = c²
           289 = c²
             17 = c

Put brackets in the expression to make this correct

3*2+5*8=88

Answers

Put brackets in the expression to make this correct


(3*2+5)*8=88

Which of the following options best describes the function graphed below?A graph shows a slanting straight line that starts at the origin and goes up.
Nonlinear increasing Nonlinear decreasing Linear increasing Linear decreasing I believe the answer is C. but I also think its D but I'm seriously stuck

Answers

Answer:

The graph of the function is:

                   Linear increasing.

Step-by-step explanation:

  • We are given a graph such that it is a slanting straight line.

This means that the relationship is linear.

  • Also the graph starts at origin and goes up.

This means that the graph of the function is continuously  increasing.

Hence, the option that best describes the function graphed is:

Linear increasing.

It is going to be : Linear increasing (C)

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. Howmany of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.