23.390625
That is your answer
Yes that is right
x=-4 is a vertical line passing through the points (-4,y)
where y can be any value
Given:
1st purchase: <span>38 bed sheets and 61 towels for $791.50
2nd purchase: </span><span>54 bed sheets and 50 towels for $923
Let x = bed sheets ; y = towels
38x + 61y = 791.50
54x + 50y = 923.00
Find the value of y:
50y = 923.00 - 54x
y = 923/50 - 54x/50
y = 18.46 - 1.08x
Substitute y to find the value of x.
38x + 61y = 791.50
38x + 61(18.46 - 1.08x) = 791.50
38x + 1126.06 - 65.88x = 791.50
38x - 65.88x = 791.50 - 1126.06
- 27.88x = -334.56
x = -334.56/ -27.88
x = 12
Find the value of y using the value of x.
y = 18.46 - (1.08x)
y = 18.46 - (1.08*12)
y = 18.46 - 12.96
y = 5.5
Each bed sheet costs $12 and each towel costs $5.50
To check:
</span>38x + 61y = 791.50
38(12) + 61(5.5) = 791.50
456 + 335.5 = 791.50
791.50 = 791.50
<span>54x + 50y = 923.00</span>
54(12) + 50(5.5) = 923
648 + 275 = 923
923 = 923
It would be 29 because 8hours - 45minutes =7hours 15 minutes
7hours 15minutes divided by 15 minutes =29
In order to make a frequency plot first we need to find the proportion of each outcome.
Total number of results = 15+20+5+5+5 = 50
Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3
Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4
Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1
Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1
Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1
Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.