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Nostrana [21]
3 years ago
11

What would be the vertex of X+6=0??​

Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

Any point on the line.

Step-by-step explanation:

x+6=0 is a straight line, and this line is infinite. You can pick three points on the line and the middle point is the vertex. This vertex can be any point on the line because there are an infinite amount of points to choose.

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I need some help with this question :/
Masteriza [31]
You have one of the answers correct. The fraction 4/8 is equal to 1/2

Other answers are: 5/10, 10/20, and 6/12

If you reduced each of those fractions, you'd get to 1/2. 

You can use a calculator to find that
4/8 = 0.5
1/2 = 0.5
5/10 = 0.5
10/20 = 0.5
6/12 = 0.5
All fractions mentioned lead to the same decimal value, so this confirms all of the fractions are equivalent to one another.
7 0
3 years ago
Read 2 more answers
Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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, t_{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 0.01 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)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
baherus [9]
The answer is C (SAS)

Explanation:
AC = EC
BC = DC
angle ACB = angle DCE (Vertically Opposite Angles)
Therefore, the triangles are congruent by the Side-Angle-Side congruency
4 0
3 years ago
I have 5 numbers in a data set that have:
CaHeK987 [17]

Answer:

2,2,3,4,5

Step-by-step explanation:

Just show how to get the mean, median, mode, and range to justify the answer

Also hey Brailen

3 0
3 years ago
What is the true solution to 2 In 4x= 2 In 8?
Pachacha [2.7K]

Answer:

x=2

Step-by-step explanation:

2In(4x)=2In(8)

determine the defined range

2In(4x)=2In(8) , x is greather than 0

divide both sides by 2

In(4x)=In(8)

set the arguments equal

4x=8

divide both sides by 4

x=2, x is greater than 0

x=2

6 0
3 years ago
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