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WINSTONCH [101]
3 years ago
5

Which of the ordered pairs is a solution to the system of inequalities? y > 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Plug the y value in for y and plug the x value in for x

> less than

<u>></u> less than or equal to

Example:

(4,5)

y > 5y <u>></u> x

5 > 5x5 <u>></u> 4  =  5 > 25 <u>></u> 4  =  false

they all should be false

if one had to be correct, I would say (0, 0)

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Answer:

9 weeks

Step-by-step explanation:

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Alloy, c, weighing 500 ounces and having 35% aluminum, is obtained from melting together x ounces of alloy, a, containing 25% al
boyakko [2]
From the given scenario in this item, we can say that the sum of x and y is 500. By the aluminum balance, the equation that we can formulate from this,
                            0.25x + 0.40y = (500)(0.35)
The system of linear equations that can best express the given is,
                                   x + y = 500
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3 years ago
Community college students conduct a survey at their college. They ask "Do you plan to transfer to a university to pursue a bacc
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Answer:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

Step-by-step explanation:

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".  

Solution to the problem

For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:

np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The estimated proportion is given by \hat p =\frac{80}{100} =0.8. If we replace the values obtained we got:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

6 0
3 years ago
You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to
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Answer:

10.5

Step-by-step explanation:

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2 years ago
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Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.
alexgriva [62]

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

-1.5

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

-0.5

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

-1.5

Hence, option C is correct.

One half is equal to 0.5.

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Hence, option D is incorrect.

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