The scatter plot shows data collected on the number of students who get off the bus at the first and the last stop of various sc
hool bus routes. Which statement is true? A. The data in the scatter plot shows a negative linear correlation. B. The data in the scatter plot shows a nonlinear correlation. C. The data in the scatter plot shows a positive linear correlation. D. The data in the scatter plot shows no correlation.
1 answer:
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Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
The probability of 3 successes is 0.0384
<h3>How to determine the probability?</h3>The given parameters are:
- Trials, n = 4
- Probability of success, p = 0.4
The binomial probability is represented as:
So, the probability of three successes is:
Evaluate the factors in the expression
Evaluate the combination expression
P(3) = 1 * 0.0384
Evaluate the product
P(3) = 0.0384
Hence, the probability of 3 successes is 0.0384
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