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Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:
For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:
Applying cross multiplication:
h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
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Answer:
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Answer:
(a) P-value = 0.074, α = 0.05 do not reject H0
(b) P-value = 0.006, α = 0.001 do not reject H0
(c) P-value = 0.494, α = 0.05 do not reject H0
(d) P-value = 0.074, α = 0.10 reject H0
(e) P-value = 0.028, α = 0.01 do not reject H0
(f) P-value = 0.296, α = 0.10 do not reject H0
Step-by-step explanation:
The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not.
In order to reject the null hypothesis, the p-value should be lower than the significance level (α).
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
