Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
<h3>What does the Central Limit Theorem state?</h3>
It states that the sampling distribution of sample means of size n is approximately normal has standard deviation
, as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
- For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
- For item b, the probability can be calculated, as the sample size is greater than 30.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
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Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is

In this case we have k=6



Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
2(x-5) + 4x - 7 = 7
2x-10 + 4x -7 -7 =0
6x - 24 = 0
6x = 24
x= 24/6
x= 4
Micah's answer is incorrect because X=4
The maximum height reached is 2.87 meters
<h3>What is maximum height?</h3>
The maximum height of an object is the highest vertical position along the trajectory of the object.
The given parameters are:
--- the initial velocity
--- the final velocity
--- the acceleration
To calculate the height (s) of the ball, we make use of the following equation of motion:

Substitute known values


Collect like terms

Substitute 9.8 for g


Divide both sides by 19.6

Hence, the maximum height reached is 2.87 meters
Read more about acceleration and maximum height at:
brainly.com/question/14638187