The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?
1 answer:
The value of the probability P(3≤x<7) is 1
<h3>How to evaluate the probability expression?</h3>The expression is given as: P(3≤x<7)
This is calculated using:
P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)
Using the figure of the probability density function (see attachment), we have:
P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20
Evaluate
P(3 ≤ x < 7) = 1
Hence, the value of the expression is 1
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The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
Answer:
No Solution
Step-by-step explanation:
So we have the inequality:
Distribute on the right:
Subtract 6w from both sides:
5 is <em>not</em> greater than 6.
Therefore, the answer to this inequality is no solution.