3)
(x/3)+(2/5)
(5x/15)+(6/15)
(5x+6)/15
4)
(2/x)+(3/7)
(14/7x)+(3x/7x)
(3x+14)/(7x)
5)
(x/2)+(1/3)+(x/4)
(6x/12)+(4/12)+(3x/12)
(9x+4)/12
Answer:
![\mu = 80.51\\\sigma = 1.56](https://tex.z-dn.net/?f=%5Cmu%20%3D%2080.51%5C%5C%5Csigma%20%3D%201.56)
Step-by-step explanation:
We are given the following information in the question:
Percentage of of the diners who make reservations don't show up = 3%
Number of reservations = 83
Thus, we are given a binomial distribution with n = 83 and p = 0.97
![X\sim \text{ Binom}(p = 0.97, n = 83)](https://tex.z-dn.net/?f=X%5Csim%20%5Ctext%7B%20Binom%7D%28p%20%3D%200.97%2C%20n%20%3D%2083%29)
![\mu = np = (83)(0.97) = 80.51](https://tex.z-dn.net/?f=%5Cmu%20%3D%20np%20%3D%20%2883%29%280.97%29%20%3D%2080.51)
Around 81 people can be expected to show up.
![\sigma = \sqrt{np(1-p)} = \sqrt{(83)(0.97)(1-0.97)} = 1.5541 \approx 1.56](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7Bnp%281-p%29%7D%20%3D%20%5Csqrt%7B%2883%29%280.97%29%281-0.97%29%7D%20%3D%201.5541%20%5Capprox%201.56)
The standard deviation of this distribution is 1.56
So here is the answer. Given that both Eric and Mark got a hamburger which is $4 each. Mark got a lemonade and some cotton candy which costs $5.
So this gives them a total of $4, $4, $5, $?(lemonade). Partial sum is $13 without the lemonade. Since Eric got a $2, the total bill was deducted with $2 and the rest of the amount is $14.50. Therefore, the total bill would have been $16.50. So $16.50 minus $13 (partial sum) is $3.50. So the lemonade costs $3.50. Hope this helps.
Answer:can u pls help answer my question 4d+15 is greater than or equal to -1
Step-by-step explanation:
Fractions can be converted to decimals and vice versa.
<em>The decimal equivalent of the fraction of months with 31 days is 0.583</em>
Given:
<em />
<em> --- months in a year</em>
<em />
<em> --- months with 31 days</em>
<em />
The fraction (n) of months with 31 days is:
![n = \frac{Months}{Total}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7BMonths%7D%7BTotal%7D)
So, we have:
![n = \frac{7}{12}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B7%7D%7B12%7D)
The decimal equivalent is:
![n = 0.583](https://tex.z-dn.net/?f=n%20%3D%200.583)
Hence, (c) is correct.
Read more about fractions and decimals at:
brainly.com/question/548650