Refer to the diagram shown below.
m∠A = 120°
b = 13 cm
c = 15 cm
From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
= 0.5*13*15*sin(120°)
= 84.4375 cm²
Answer: 84.4 cm² (nearest tenth)
Answer:
i need the awnser too someone help
Step-by-step explanation:
Answer:
x = 2y + 1 + (z/2)
Step-by-step explanation:
Just manipulate the equation to isolate x.
Step-by-step explanation:
Y = 3 X-6
... . .... ... ...
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
