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Pani-rosa [81]
3 years ago
11

Square ABCD is shown below.

Mathematics
1 answer:
valentina_108 [34]3 years ago
6 0

Answer:

35 is the length of BE

Step-by-step explanation:

2(2x + 5) = 8x - 50

4x + 10 = 8x -50

10+50 = 8x-4x

60= 4x

15 = x

2x + 5 = length of BE equal to length of DE

2(15) +5 = BE

30 +5

35 is the length of BE

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3 years ago
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

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(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
3 years ago
X^2+17x+50=0 to the nearest tenth.
goldenfox [79]

Answer: 2.1      Find the Vertex of   y = x2-17x-50

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   8.5000  

Plugging into the parabola formula   8.5000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0

or   y = -122.250

Step-by-step explanation:

6 0
3 years ago
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pochemuha

Answer:

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