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olga nikolaevna [1]
3 years ago
5

Solve each system of equations or inequalities by graphing 3x - 2y = 6 2x + y = 4

Mathematics
1 answer:
gregori [183]3 years ago
4 0

Answer:

x=2    y=0

Step-by-step explanation:

y=4-2x

3x-2y=6

3x-8+4x=6

7x-8=6

7x=14

x=2

y=4-4

y=0

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PLEASE HELP FAST simplify: sqrt 8 + 2 sqrt 15
Ket [755]

Answer:

2\sqrt{2} + 2\sqrt{15}

Step-by-step explanation:

\sqrt{8} = \sqrt{4}\sqrt{2} = 2\sqrt{2}

7 0
3 years ago
I bought 10 piece chicken nuggets (400 calories) I ate 8 and left the 2 how much calories did I consume???
aivan3 [116]
400 divided by 10 is 40
Then you multiply 8 by 40 because you ate ate chicken nuggets
You should get 320
5 0
3 years ago
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Ivahew [28]

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5 0
3 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

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 margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
Select from the drop-down menu to correctly compare the numbers.
OverLord2011 [107]
This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.

We also know that √ 108  is greater than √ 100 =10

So we can conclude that
√ 108 > √ 100 = 10  > 9.4247
or simply

√ 108 > 9.4247

by the transitive property of logical propositions.


6 0
3 years ago
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