Answer:
Step-by-step explanation:
We are given that:
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
Answer:
Step-by-step explanation:
The nearest ten thousand is 20,000
Answer: The z score that corresponds to the value x=22 is 0.4 .
Step-by-step explanation:
Given : A normal distribution has a mean 20 and standard deviation 5.
i.e. 
Let x be the random selected variable.
We know that to find the z-score corresponds to the value x is given by :-
For x = 22, we have
Hence, the z score that corresponds to the value x=22 is 0.4
The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.
<h3>How to illustrate the research?</h3>
From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.
The degree of freedom will be:
= (3 - 1) × (3 - 1)
= 4
The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.
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