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2 years ago

Which ordered pairs are solution to the system of inequalities? {X+2y>4, 3x-y<2

Mathematics

1 answer:

Dahasolnce [82]2 years ago

6 0

The ordered pairs which is the solution of the system of Inequalities is;

x > 0 and y < 2

<h3>How to find the ordered pair of inequalities?</h3>

We are given the inequalities;

x + 2y > 4 ----(1)

3x - y < 2 -----(2)

Subtract 2y from both sides in eq 1 to get;

x > 4 - 2y ----(3)

Put 4 - 2y for x in eq 2 to get;

3(4 - 2y) - y < 2

12 - 4y - y < 2

12 - 5y < 2

Subtract 12 from both sides to get;

-5y < -10

Divide both sides by -5 to get;

y < 2

Put 2 for y in eq 3 to get;

x > 4 - 2(2)

x > 0

Read more about Inequality Ordered Pairs at; brainly.com/question/1528681

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

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4 years ago

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kkurt [141]

Step-by-step explanation:

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3 years ago

How many solutions does the system have?<br> x + 4y = 6<br> 2x + 8y = 12

Katarina [22]

Answer:

none :)

Step-by-step explanation:

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3 years ago

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URGENT!!!! PLS HELP MEEE DUE IN 5 MINUTEESS!!

agasfer [191]

Answer:

the answer is c

Step-by-step explanation:

I saw it said it was due in 5 min so i ryed to solve fastt

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3 years ago

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41) Gabriella invests $8,193 in a retirement

nataly862011 [7]

Answer:

Option C. $\$34,252.67$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

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n is the number of times interest is compounded per year

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$t=18\ years\\ P=\$8,193\\ r=0.08\\n=6$

substitute in the formula above

$A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67$

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4 years ago