Answer:
Mean = 2.95
Median = 3
Step-by-step explanation:
The mean of the number of visits of 40 adults to the gym is
![\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95](https://tex.z-dn.net/?f=%5Cdfrac%7B0%5Ccdot%204%2B1%5Ccdot%203%2B2%5Ccdot%2012%2B3%5Ccdot%205%2B4%5Ccdot%208%2B5%5Ccdot%205%2B6%5Ccdot%202%2B7%5Ccdot%201%7D%7B40%7D%3D%5C%5C%20%5C%5C%3D%5Cdfrac%7B3%2B24%2B15%2B32%2B25%2B12%2B7%7D%7B40%7D%3D%5Cdfrac%7B118%7D%7B40%7D%3D2.95)
The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).
20th term = 3 visits
21th term = 3 visits
Hence, median is 3 visits
Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.
Answer:
Step-by-step explanation:
-4=2x+16
-16. -16
-20=2x
20/2=2x/2
10=x
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:
![x+16=\frac{420-y}{5}...(1)](https://tex.z-dn.net/?f=x%2B16%3D%5Cfrac%7B420-y%7D%7B5%7D...%281%29)
![x=\frac{y}{5}...(2)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7By%7D%7B5%7D...%282%29)
Upon substituting
in 1st equation we will get,
![\frac{y}{5}+16=\frac{420-y}{5}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B5%7D%2B16%3D%5Cfrac%7B420-y%7D%7B5%7D)
Upon multiplying both sides of our equation by 5 we will get,
![5(\frac{y}{5}+16)=420-y](https://tex.z-dn.net/?f=5%28%5Cfrac%7By%7D%7B5%7D%2B16%29%3D420-y)
![y+80=420-y](https://tex.z-dn.net/?f=y%2B80%3D420-y)
![y+80+y=420-y+y](https://tex.z-dn.net/?f=y%2B80%2By%3D420-y%2By)
![2y+80=420](https://tex.z-dn.net/?f=2y%2B80%3D420)
![2y=420-80](https://tex.z-dn.net/?f=2y%3D420-80)
![2y=340](https://tex.z-dn.net/?f=2y%3D340)
Upon substituting y=170 in 2nd equation we will get,
![x=\frac{170}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B170%7D%7B5%7D)
![x=34](https://tex.z-dn.net/?f=x%3D34)
Therefore, Charlene's speed is 34 miles per hour.