He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99
Answer:
14 weeks
Step-by-step explanation:
500 - 220 = 280
280 / 20 = 14
The difference in the price per bag for 150 bags versus 50 bags is $0.15 per bag.
<h3>What is the difference in the price of the bags?</h3>
If 150 bags on the x axis is traced to the y axis, the price of the bag is $38.
If 50 bags on the x axis is traced to the y axis, the price of the bag is $20.
Price per bag:
150 bags = 38 / 150 = $0.25
50 bags = $20 / 50 = $0.4
The difference = $0.4 $0.25 = $0.15
Please find attached the graph used in answering this question. To learn more about subtraction, please check: brainly.com/question/854115
Answer:
50%
Step-by-step explanation:
68-95-99.7 rule
68% of all values lie within the 1 standard deviation from mean ![(\mu-\sigma,\mu+\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-%5Csigma%2C%5Cmu%2B%5Csigma%29)
95% of all values lie within the 1 standard deviation from mean ![(\mu-1\sigma,\mu+1\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-1%5Csigma%2C%5Cmu%2B1%5Csigma%29)
99.7% of all values lie within the 1 standard deviation from mean ![(\mu-3\sigma,\mu+3\sigma)](https://tex.z-dn.net/?f=%28%5Cmu-3%5Csigma%2C%5Cmu%2B3%5Csigma%29)
The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.
![\mu = 55\\\sigma = 4](https://tex.z-dn.net/?f=%5Cmu%20%3D%2055%5C%5C%5Csigma%20%3D%204)
68% of all values lie within the 1 standard deviation from mean
=
= ![(51,59)](https://tex.z-dn.net/?f=%2851%2C59%29)
95% of all values lie within the 2 standard deviation from mean
=
= ![(47,63)](https://tex.z-dn.net/?f=%2847%2C63%29)
99.7% of all values lie within the 3 standard deviation from mean
=
= ![(43,67)](https://tex.z-dn.net/?f=%2843%2C67%29)
Refer the attached figure
P(43<x<55)=2.5%+13.5%+34%=50%
Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%
Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
-----------------
To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
================================================
Problem 8)
The answer is choice B) 5
-----------------
Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10