Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer:
Step-by-step explanation:
given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.
59 84 90 54 42 45 77 85
a) Mean = total /8 = 536/8 = 67
For median arrange in ascending order
42 45 54 59 77 84 85 90
Middle entries are 59 and 77
b) Median = average of 59 and 77 = 68
c) If highest changes to 100, data set becomes
42 45 54 59 77 84 85 100
sum increases by 10 i.e. 546
Mean = 546/8 = 68.25
Median will not change remain the same = 68
Mean increases and median stays the same
d) If Var = 369.1429
std dev = square root of variance
= 19.2131
e) Part b answer is the II quartile
f) Mean = 67 and median = 68
Mean < median
So negatively skewed shape
Answer:
Each student gets 11 pieces.
Step-by-step explanation:
80 ÷ 7 = 11.42857
80 divided by 7 comes out to a decimal therefore, you will have a remainder. 7 × 11 = 77
The answer would be 11 remainder 3.
Area of circle = πr2 = π(23)^2
Based on the time it took the patient to recover and the mean and standard deviation, the z-score is 1.5.
<h3>What is the z-score?</h3>
The z-score for this patient who takes 7 days to recover can be found as:
= (Time taken to recover - Mean) / Standard deviation
Solving for the z-score gives:
= (7 - 5.2) / 1.2
= 1.8 / 1.2
= 1.5
The first part of the question is:
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 1.2 days.
Find out more on the z-score at brainly.com/question/25638875
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