Answer:
![Total = \frac{1}{2}](https://tex.z-dn.net/?f=Total%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given
![Carol = \frac{1}{8}](https://tex.z-dn.net/?f=Carol%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
![Luke = \frac{3}{8}](https://tex.z-dn.net/?f=Luke%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Required
How far did they row together
To do this, we simply add the distance they both covered.
![Total = Carol + Luke](https://tex.z-dn.net/?f=Total%20%3D%20Carol%20%2B%20Luke)
This gives;
![Total = \frac{1}{8} + \frac{3}{8}](https://tex.z-dn.net/?f=Total%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20%2B%20%5Cfrac%7B3%7D%7B8%7D)
Take LCM
![Total = \frac{1+3}{8}](https://tex.z-dn.net/?f=Total%20%3D%20%5Cfrac%7B1%2B3%7D%7B8%7D)
![Total = \frac{4}{8}](https://tex.z-dn.net/?f=Total%20%3D%20%5Cfrac%7B4%7D%7B8%7D)
Simplify
![Total = \frac{1}{2}](https://tex.z-dn.net/?f=Total%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
<em>Hence, they both rowed 1/2 mile</em>
Answer:
The number is
students
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is ![\sigma = 34.4](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2034.4)
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
![P(250 < X < 305 ) = P(\frac{ 250 - 281}{34.4 } < \frac{X - \mu }{\sigma } < \frac{ 305 - 281}{34.4 } )](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%20P%28%5Cfrac%7B%20250%20-%20281%7D%7B34.4%20%7D%20%20%3C%20%20%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3C%20%5Cfrac%7B%20305%20-%20281%7D%7B34.4%20%7D%20%20%20%29)
Generally
![\frac{X - \mu }{\sigma } = Z (Standardized \ value \ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%20%28Standardized%20%5C%20value%20%5C%20%20of%20%20%5C%20%20X%20%29)
So
![P(250 < X < 305 ) = P(-0.9012< Z](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%20P%28-0.9012%3C%20%20Z%3C0.698%20%20%29)
![P(250 < X < 305 ) = P(z_2 < 0.698 ) - P(z_1 < -0.9012)](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20P%28z_2%20%3C%200.698%20%29%20-%20%20P%28z_1%20%3C%20%20-0.9012%29)
From the z table the value of ![P( z_2 < 0.698) = 0.75741](https://tex.z-dn.net/?f=P%28%20z_2%20%3C%200.698%29%20%3D%20%200.75741)
and ![P(z_1 < -0.9012) = 0.18374](https://tex.z-dn.net/?f=P%28z_1%20%3C%20-0.9012%29%20%3D%20%200.18374)
![P(250 < X < 305 ) = 0.75741 - 0.18374](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%200.75741%20-%200.18374)
![P(250 < X < 305 ) = 0.57](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%200.57)
The percentage is ![P(250 < X < 305 ) = 57\%](https://tex.z-dn.net/?f=P%28250%20%3C%20%20X%20%3C%20%20305%20%29%20%3D%20%2057%5C%25)
The number of students that will get this score is
![N = 2000 * 0.57](https://tex.z-dn.net/?f=N%20%20%3D%202000%20%2A%200.57)
![N =1147](https://tex.z-dn.net/?f=N%20%20%3D1147)
Answer:
The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere.So following options are correct options
- slowly increasing global temperature
- caused when atmospheric gases trap heat
- increasing because of carbon dioxide emissions
Answer:
9x + 3 = 7x + 19
Step-by-step explanation:
Given that,
Jeffrey set up chairs for a meeting.
He arranged the chairs in 9 equal rows but had 3 chairs left over.
Let x be the number of chairs. So,
9x+3 .....(1)
Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,
7x+19 ......(2)
From equation (1) and (2),
9x+3 = 7x+19
9x-7x = 19-3
2x = 16
x = 8
Hence, the correct option is (b).
To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9