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Nataly_w [17]
3 years ago
12

Use a form of the distributive property to rewrite the given algebraic expression without parentheses. 2(3x-3)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

6x-6

Step-by-step explanation:

The Distributive property says that a(b+c) = ab+ac

In my example you distribute the value on the outside to the things on the inside

In your problem you have a two on the outside that needs to be distributed to a 3x and a -3

1) 2 multiplied by 3x equals 6x giving you the first part of your answer!

2) 2 multiplied by -3 equals -6 giving you the second part of your answer!

Don't forget that there is a - sign between the 3x and 3, don't drop it!

Put the two values together to get 6x-6

Let me know if you have any further questions :)

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Need help not quiz need help please and​
Eva8 [605]

Answer:

b

Step-by-step explanation:

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6 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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

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 0.05 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)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
Renee hiked for 3 3/4 miles. After resting, Renee hiked back along the same route for 2 1/4 miles. How many more miles does Rene
Shtirlitz [24]

Answer:

1 1/2 miles

Step-by-step explanation:

3 3/4 - 2 1/4..

3/4 - 1/4 = 2/4=1/2

3-2= 1

1+1/2=1 1/2 miles

3 0
3 years ago
What is 3*5/2 A.5/6 B.15/2 C.8/2 D.15/6
alina1380 [7]

Answer:

The correct answer to this question is B

4 0
3 years ago
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The question is in the pictureee
Bogdan [553]
A. 12 centimetres.

Hope this helps!
3 0
4 years ago
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