Answer: (1.5, 1.5)
Step-by-step explanation:
Answer:
![Time = 11\frac{2}{3}\ min](https://tex.z-dn.net/?f=Time%20%3D%2011%5Cfrac%7B2%7D%7B3%7D%5C%20min)
Step-by-step explanation:
Given
![Security\ A = 2\ mins, 20\ secs](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5C%20mins%2C%2020%5C%20secs)
![Security\ B = 1\ mins, 40\ secs](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5C%20mins%2C%2040%5C%20secs)
Required
After how many minutes, will they round together
First, convert the given time to minutes
![Security\ A = 2\ mins, 20\ secs](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5C%20mins%2C%2020%5C%20secs)
![Security\ A = 2\ mins+ 20\ secs](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5C%20mins%2B%2020%5C%20secs)
![Security\ A = 2\ mins+ \frac{20}{60}\ min](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5C%20mins%2B%20%5Cfrac%7B20%7D%7B60%7D%5C%20min)
![Security\ A = 2\ mins+ \frac{1}{3}\ min](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5C%20mins%2B%20%5Cfrac%7B1%7D%7B3%7D%5C%20min)
![Security\ A = 2\frac{1}{3}\ min](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5Cfrac%7B1%7D%7B3%7D%5C%20min)
![Security\ B = 1\ mins, 40\ secs](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5C%20mins%2C%2040%5C%20secs)
![Security\ B = 1\ mins+ 40\ secs](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5C%20mins%2B%2040%5C%20secs)
![Security\ B = 1\ mins+ \frac{40}{60}\ min](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5C%20mins%2B%20%5Cfrac%7B40%7D%7B60%7D%5C%20min)
![Security\ B = 1\frac{2}{3}\ min](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5Cfrac%7B2%7D%7B3%7D%5C%20min)
So, we have:
![Security\ A = 2\frac{1}{3}\ min](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5Cfrac%7B1%7D%7B3%7D%5C%20min)
![Security\ B = 1\frac{2}{3}\ min](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5Cfrac%7B2%7D%7B3%7D%5C%20min)
List out the multiples of the time of both security personnel take round.
![Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...](https://tex.z-dn.net/?f=Security%5C%20A%20%3D%202%5Cfrac%7B1%7D%7B3%7Dmin%2C%5C%204%5Cfrac%7B2%7D%7B3%7Dmin%2C%5C%207min%2C%5C%209%5Cfrac%7B1%7D%7B3%7Dmin%2C%5C%2011%5Cfrac%7B2%7D%7B3%7Dmin...)
![Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...](https://tex.z-dn.net/?f=Security%5C%20B%20%3D%201%5Cfrac%7B2%7D%7B3%7Dmin%2C%5C%203%5Cfrac%7B1%7D%7B3%7Dmin%2C%5C%205min%2C%5C%206%5Cfrac%7B2%7D%7B3%7Dmin%2C%5C%208%5Cfrac%7B1%7D%7B3%7Dmin%2C%5C%2010min%5C%20%2C11%5Cfrac%7B2%7D%7B3%7Dmin%2C...)
In the above lists, the common time is:
![Time = 11\frac{2}{3}\ min](https://tex.z-dn.net/?f=Time%20%3D%2011%5Cfrac%7B2%7D%7B3%7D%5C%20min)
<em>This implies that they go on round after </em>
<em></em>
You're gonna want to divide 16 from 40. the answer to that is how many containers being bought. because its one dollar per pint its will be the same answer
Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B
![V_s_p=\frac{1}{3}V_r_p](https://tex.z-dn.net/?f=V_s_p%3D%5Cfrac%7B1%7D%7B3%7DV_r_p)
Find the relationship between the volume of a rectangular prism and the volume of a square pyramid
![\frac{V_r_p}{V_s_p}=3](https://tex.z-dn.net/?f=%5Cfrac%7BV_r_p%7D%7BV_s_p%7D%3D3)
therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Choosing the points (2,6) and (3,9)
substitute
----> is correct