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UkoKoshka [18]
3 years ago
9

Hurry! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, Fl to Atlanta, Ga

. FedEx makes a graph to represent the miles per gallon the truck uses.
(a) Sketch a graph to represent the situation. Use one axis to represent the number of miles and the other axis to represent the number of gallons. Label your intercepts.
(b) What is the domain in this situation? explain you answer.
(c) What does the origin of the graph represent in this situation? explain your answer
Mathematics
1 answer:
artcher [175]3 years ago
7 0

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to 30()\frac{22}{3} = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is y=\frac{22}{3} x.

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.

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F(x) = (x - 2)²(x+1)​
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(x - 2)²(x+1)​

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multiply the two brackets together

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5 0
3 years ago
The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes
hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

n = 100, \pi = \frac{46}{100} = 0.46

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

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The upper limit of this interval is:

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The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0
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