Answer:
The value that is greater than 45% of the data values is approximately 137.84.
Step-by-step explanation:
The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.
We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:
The critical z value (from z-score table, online) is: -0.12, so:
The value that is greater than 45% of the data values is approximately 137.84.
The question is incomplete. Here is the complete question:
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit 10 such targets in a row.
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:
40.13%
Step-by-step explanation:
Let 'A' be the event of not missing a target in 10 attempts.
Therefore, the complement of event 'A' is 
Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.
Now, 
We know that the sum of probability of an event and its complement is 1.
So, 
Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.
Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=
It is given that the height is 'x' units.
Therefore, 
Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.
Answer:
The answer to your question is below
Step-by-step explanation:
Just cancel the parentheses and simplify
Result Addition
5xy² + 2x²y ⇒ (5xy² - x²y) + 3x²y = 5xy² + 2x²y
-3x²y - 2xy² ⇒ x²y + (-2xy² - 4x²y) = -3x²y - 2xy²
3x²y - 2xy² ⇒ 2x²y + (x²y - 2xy²) = 3x²y - 2xy²
5x²y + xy² ⇒ 4x²y + (x²y + xy²) = 5x²y + xy²
<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>
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</span></span></span>
<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>
<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>
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