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3 years ago

Solve the following system of linear equations using elimination. −2x+7y=16 8x−6y=24

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

mark brainlist please

Step-by-step explanation

-2x+7y=16 x=-8,0 y=0,16/7

8x-6y=24 y=(3,0) x=(0,-4)

Jet001 [13]3 years ago

3 0

It’s should be (6, 4)

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2 4/10 + 3 5/8 = what does it equal

photoshop1234 [79]

2 4/10 + 3 5/8
= 6 1/40

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2 years ago

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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

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3 years ago

The numerator and the denominator of a fraction are thirteen and fifty, respectively. When a certain number is added to this num

Talja [164]

(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
100 - 2x = 13 + x
add 2x to both sides
100 -2x + 2x = 13 + x + 2x
100 = 13 + 3x
Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x

(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio

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2 years ago

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a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?

ICE Princess25 [194]

Answer:

The discount is $49.90 the final price is $449.10

Step-by-step explanation:

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2 years ago

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In 15 years lisa will be four times as old as she is now. how old is she now

Eva8 [605]

Answer:

Lisa is 5 years old

Step-by-step explanation:

we can make an equation like

4x=15+x

X can represent Lisa’s current age

Now just solve for X

3x=15

x=5

And we can check

If Lisa is 5 years old now

In 15 years she would be 20

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So Lisa is 5 years old now.

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3 years ago