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3 years ago

15x=-32-14y 9x=-64+14y

Mathematics

1 answer:

adell [148]3 years ago

5 0

1) (15x=-32-14y)-1<span>
2) 9x=-64+14y
</span>
1) -15x=32+14y
-
2) 9x=-64+14y

3) -24x=96
3) x=-4

Substitute x into 1) equation

1)<span> 15*-4=-32-14y
</span>1) -60+32=-14y
1) -28=-14y
1) y=2

Answer:

x=-4
y=2

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For the rhombus, what are the slopes of the two diagonals? DO NOT introduce any new variables.

Jobisdone [24]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

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If two lines are perpendicular to each other, their slope values will be negative reciprocals.

<h3>What is the Diagonals of a Rhombus?</h3>

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

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Slope (m) = change in y / change in x = b - f/a - e

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2 years ago

Six gallons of gasoline cost $15.06. What is the price of gasoline per gallon

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3 years ago

Read 2 more answers

a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of

oee [108]

Step-by-step explanation:

if each the bonus is shared equally each will get 420

if 40% is shared by managers each manager will get 560

if 7 sales persons share 60% each will get 360

therefore Peter salesperson will get 360

but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct

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3 years ago

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The number of subjects needed to estima

Ludmilka [50]

Answer:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Assuming that the deviation is known we can express the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

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3 years ago

Hi! can someone please help? i added a pic so that u can see what i need help on. hopefully it helps

almond37 [142]

Answer:

I'm pretty sure that the answers would go, Wrong, increased, 9 1/2 points, 6 5/8 points, dropped, 12 3/4 points.

Step-by-step explanation:

The reason why it would be wrong is because the amount of points lost was less than the total amount of points gained.

In week one and two the company gained 9 1/2 points and 6 5/8 points. When you add them together, you get 16 1/8 points.

In week three the company lost 12 3/4 points. If you multiply the fraction to change the denominator to 8, the mixed fraction becomes 12 6/8.

16 1/8 - 12 6/8 = 3 3/8

As you can see, there are still points left over.

In the fourth week, they ended up losing all of their points and then some more, but from my understanding it's just asking about the third week.

Hope that this helps!

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2 years ago