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3 years ago

Please help

Mathematics

1 answer:

Harrizon [31]3 years ago

3 0

Answer:

(-1/2, 3/4)

Step-by-step explanation:

Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:

2(24x - 4y = -15) => 48x - 8y = -30

Now combine this result (this equation) with the first equation:

2x + 8y = 5

+48x -8y = -30

---------------------

50x = - 25

Dividing both sides by 50, to isolate x, we get

x = -25/50 = -1/2.

Now substitute -1/2 for x in the first equation and solve the resulting equation for y:

2x + 8y = 5

2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)

Dividing both sides of 8y = 6 by 8 leads to determining the value of y:

y = 6/8 = 3/4

The solution is (-1/2, 3/4).

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5 9 17 11 8 11 16<br><br><br> How do you do standard deviations with these numbers

BlackZzzverrR [31]

Answer:

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6)² = 36

9 - 11 = (-2)² = 4

17 - 11 = (6)² = 36

11 - 11 = (0)² = 0

8 - 11 = (-3)² = 9

11 - 11 = (0)² = 0

16 - 11 = (5)² = 25

Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

²√15.71 = 3.96

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3 years ago

Joe has created a budget and has allocated $250 per month for food. at the end of the month he finds that he actually spent $340

Lilit [14]

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4 years ago

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nikitadnepr [17]

Answer:

270

Step-by-step explanation:

Greg is making 3 times as many pies, so he needs 3 times as many cherries.

Greg needs 720 cherries to make 9 perfect cherry pies.

7 0

3 years ago

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zepelin [54]

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3 years ago

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What is the length of x?

Marat540 [252]

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

$a ^{2} + b^{2} = {c}^{2}$

$a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4$

Therefore x = 4

8 0

3 years ago