So since this is a linear equation, which is y=mx+b, you use what it tells you in the word problem. so mx is the rate, since in this equation 200 per ton of sugar that's your mx, so its 200x. then for your b value, which in this case is the cost of truck rental, so its 5,400.
your equation is C=200s+5400
the variables are the same so you can use Y and X, but I used the variables used in the word problem.
Y=200x+5400
Answer:
The answer to your question is 1 5/7 or 1.7 hours ≈ 1:43 min
Step-by-step explanation:
Data
Bob lasts 3 hours
Fred lasts 4 hours
Together = ?
Process
1.- Determine what they do in 1 hour
Bob = 1/3 in x hours x/3
Fred = 1/4 in x hours x/4
2.- Write the equation to this problem
x/3 + x/4 = 1
3.- Solve it for x
(4x + 3x)/12 = 1
7x = 12
x = 12/7
x = 1 5/7 or 1.7 hours ≈ 1:43 min
Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
Answer:
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Step-by-step explanation:
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