9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
Answer:
The distribution of the sample data will approach a normal distribution as the sample size increases.
Step-by-step explanation:
Central limit theorem states that the mean of all samples from the same population will be almost equal to the mean of the population, if the large sample size from a population, is given with a finite level of variance.
So, here Option C is not correct conclusion of central limit theorem -The distribution of the sample data will approach a normal distribution as the sample size increases.
We can say that the average of sample mean tends to be normal but not the sample data.
First of all, we know that a professional volleyball player can jump an average of 2.5 times higher than the average person which means that the player could jumps 2.5 times higher than the normal do. For example, if the normal people jumps 3 inches height, the professional player could jumps 2.5(3)=7.5 inches height. In this case, if an an average person can jump 2x inches high which leads to that the professional player could jumps 2.5(2x) higher. As a result, C is your final answer. Hope it help!
Answer: 3.712 hours or more
Step-by-step explanation:
Let X be the random variable that denotes the time required to complete a product.
X is normally distributed.
Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.
Then, 
![P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28z%3E%5Cdfrac%7Bx-3.2%7D%7B%5Csigma%7D%29%3D0.10%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
As, 
[By z-table]
Then,
So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.
To answer the problem above, we must first define the word break even. Break even means there is no gain or loss, the difference between the capital amount and the sale amount is zero. In equation, let x be the number of pies. 5x + 30 = 12x, $5 times the number of pies plus $30 is equal to $12 times the number of pies sold. The answer is letter C.
