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IceJOKER [234]
3 years ago
8

Solve this quadratic equation using the quadratic formula x^2 + 8x - 5 = 0

Mathematics
1 answer:
kompoz [17]3 years ago
3 0

Answer:

x =  − 4 ± √ 21

Step-by-step explanation:

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Nady [450]

You’re welcome stranger

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Find the 20th term of an arithmetic sequence with a first term of 3 and a common difference of 5
musickatia [10]
So just keep subtracting 5 from three or do  5 times 20 - 3. that equals - 97
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An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu
Sholpan [36]

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>
  • At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_0: p \leq 0.5

  • At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_1: p > 0.5

<h3>Test statistic</h3>

The <em>test statistic</em> is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5

The value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}

z = 3.75

Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is z^{\ast} = 1.645.

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

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3 years ago
Find the area of circle with diameter of 52 cm. Use ≈3.14. <br> The area of circle is approximately?
Likurg_2 [28]

Answer:

169.56

Step-by-step explanation:

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3 years ago
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E im so confused-<br> ( Please explain your answer! )
Drupady [299]

Answer:

  B.  180° about the origin

Step-by-step explanation:

You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.

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You have two clues that the rotation is 180° about the origin:

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To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)

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2 years ago
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