Write about the police situations that’s going on right now
THEOREM:
- h² = p² + b² where h is hypotenuse, b is base and p is perpendicular.
ANSWER:
[3] By pythagorean theorem,
- x² = 14² + 9²
- x² = 196 + 81
- x² = 277
- x = √277
- x = 16.64 rounded.
[4] By pythagorean theorem,
- x² = 32² + 24²
- x² = 1024 + 576
- x² = 1600
- x = √1600
- x = 40.
[5] By pythagorean theorem,
- (2x)² = 21² – 12.6²
- 4x² = 441 – 158.76
- 4x² = 284.24
- x² = 284.24/4 = 70.56
- x = √70.56
- x = 8.4
[6] By tangent property,
- 7x – 29 = 2x + 16
- 7x – 2x = 16 + 29
- 5x = 45
- x = 9.
So, WX = 7(9) – 29 = 63 – 29
Using a calculator, it is found that for the two-tailed test of significance, the p-value is of 0.9195.
The correlation coefficient is also called <u>Pearson's r-score</u>, and is used for two-tailed tests. To find the p-value, the information needed is:
- The value of the Pearson's r-score, that is, the value of the correlation coefficients.
- The sample size.
In this problem, we have that the correlation coefficient is of r = 0.02, with a sample size of n = 28.
- Using it as the input for a r-score calculator, the p-value is of 0.9195.
A similar problem is given at brainly.com/question/13873630
Tan52° = x/29
The angle of elevation is 52°, so that must be inside the tan function.
Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.