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Brilliant_brown [7]
3 years ago
12

Find the solution of (x+2)^2 +2=6 by using square roots method​

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

  • (x + 2)² +2 = 6
  • (x + 2)² = 4
  • √(x + 2)² = √4
  • x + 2 = ± 2
  • x = -2 ± 2
  • x = -4, x = 0
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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
3 years ago
Can someone graph this?<br> I'll give brainliest.
vodomira [7]

<em>It's nice of you to offer, but no thanks.</em>

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define <em>y</em> as the total cost and <em>x</em> as the number of water bottles sold.

y=1.5x

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, <em>x</em>, gets you the total, <em>y</em>. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the <em>amount of bottles</em> and returns the  <em>total cost. </em>Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x      y

--------

0     0

1      1.5

2     3

3     4.5

4     6    

5     7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.


7 0
3 years ago
What's the expression for subtract 20 divided into fourths from 55 divided into fifths
alexira [117]
The expression is 55/5 - 20/4
11-5
the answer is 6
5 0
3 years ago
What is 3.1 × 2.57? (6-6)<br> A 8.432<br> B 7.967<br> C 6.621<br> D 5
Contact [7]

Answer:

B. 7.967

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. Use the given translation rule to find the image coordinates. Rule: (x, y) –(x - 4, y + 3) A(4,6) →A') and B(-2,3) -→B'().O A
artcher [175]

We have to translate the coordinates using the given rule.

The given rule is (x-4,y+3)

Now we have to translate the point A(4,6) using the given rule.

Then,

A' is (4-4,6+3)=(0,9)

Now the point B(-2,3) is to be transformed.

Then,

B' is (-2-4,3+3)=(-6,6)

Hence the answer is A'(0,9) and B'(-6,6)

4 0
1 year ago
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