2
-5x+3=0
x=
x=3/2;x=1
x=
x=3/2;x=1
You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved
1 answer:
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Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Answer:
A)Mean :10.65
Median =10.7
Mode : 10.7
B)Range = 3.5
Standard deviation :0.89916
C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times
Step-by-step explanation:
A)
Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2
Mean = 10.65
Median: The mid value of the data
Data in ascending order
8.3
10.3
10.5
10.6
10.7
10.7
10.9
11.2
11.5
11.8
n=10(even)
Mode : the most occurring frequency
10.7 is occurring twice while others are occurring once
So, Mode is 10.7
B) Range = Maximum - Minimum=11.8-8.3=3.5
Standard deviation :
Standard deviation :
Standard deviation :0.89916
C)
8.3
,10.3
,10.5
,10.6
,10.7
,10.7
,10.9
,11.2
,11.5
,11.8
For Q1 ( Median of lower quartile )
8.3
,10.3
,10.5
,10.6
,10.7
For Q3( Median of Upper quartile )
10.7
,10.9
,11.2
,11.5
,11.8
IQR = Q3-Q1=11.2-10.5=0.7
Range :(Q1-1.5IQR, Q3-1.5IQR)
Range :
Range :(9.45, 10.15)
8.3 does not lie in this interval
So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times