Which is a correct two-column proof? Given: ∠h and ∠c are supplementary. Prove: j || l
1 answer:
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Answer:
Step-by-step explanation:
Hello!
First, let's plot the points and draw a straight line through them (image).
Remember that a coordinate is given in the format of (x,y).
<h3 /><h3>Parts of a Line</h3>Equation format:
- m = slope
- b = y-intercept
The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is .
The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.
The equation is .
Answer:
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
So, the required angle of elevation of the sun is equal to .
Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a <em>normal distribution</em> 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.
In this problem:
- The mean is of 550, hence
.
- The standard deviation is of 125, hence
.
The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:
has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213