Answer:
An invoice was paid an average of 20 days after it was received.
Mean =
Standard deviation =
Now we are supposed to find what percent of the invoices were paid within 15 days of receipt i.e.P(x<15)
Formula :
At x = 15
Substitute the values
Refer the z table for p value
So, p value = 0.1587
So, 15.87% of the invoices were paid within 15 days of receipt
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
All its angles measure 90 degrees or are right angles and one pair of side lengths are longer then the other
The number of copper atoms in a penny of copper is 6.38×10²² atoms.
Given that,
A penny contains 0.106 mol of copper, how many atoms of copper are in a penny is to be determined.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Atom in 1 mole = 6.022×10²³ atom / mole
Number of copper atoms = 0.106 × 6.022×10²³
Number of copper atoms = 6.38×10²² atoms
Thus, the number of copper atoms in a penny of copper is 6.38×10²² atoms.
Learn more about simplification here: brainly.com/question/12501526
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Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e. ![\mu=23.50](https://tex.z-dn.net/?f=%5Cmu%3D23.50)
![\sigma=5](https://tex.z-dn.net/?f=%5Csigma%3D5)
We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let
be the sample mean.
Formula : ![z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
Then, the probability that the sample mean is at least $25.00 will be :-
![P(\overline{x}\geq\25.00)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\geq\dfrac{25-23.50}{\dfrac{5}{\sqrt{50}}})\\\\=P(z\geq2.12)\\\\=1-P(z](https://tex.z-dn.net/?f=P%28%5Coverline%7Bx%7D%5Cgeq%5C25.00%29%3DP%28%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5Cgeq%5Cdfrac%7B25-23.50%7D%7B%5Cdfrac%7B5%7D%7B%5Csqrt%7B50%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%5Cgeq2.12%29%5C%5C%5C%5C%3D1-P%28z%3C2.12%29%5C%5C%5C%5C%3D1-0.9830%3D0.0170)
Hence, the likelihood the sample mean is at least $25.00= 0.0170
Answer:
the expression representing the area of the patio has four terms
the expression representing the area of the patio is a polynomial
the expression representing the area of the patio has a constant term
the expression representing the area of the patio is cubic
Step-by-step explanation: