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Nadusha1986 [10]
2 years ago
5

Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
3 0

Answer:

  • a = 2
  • d = 1

Step-by-step explanation:

The value of d is the average of the maximum and minimum values of the graph:

  d = (3 +(-1))/2 = 1

The value of 'a' is the difference between the maximum value and the value of d:

  a = 3 -d = 3 -1 = 2

The required values of 'a' and 'd' are 2 and 1, respectively.

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t=56/-7=-8

Answer: t=-8

To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
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I'm not sure, it looks like you do k12. Are u in 9th grade Algebra 1?

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Add 8 and 17, double the sum, and then subtract three​
shepuryov [24]

The Answer is 47, hope this helpssss!

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What is 40 divided by five
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40÷5= 8 You have to see how many time 5 can go into 40 
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3 years ago
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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