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Leni [432]
2 years ago
14

the amount of gasoline at a gas station changes from 58,432.4 gallon to 56,475.2 gallon from 2:00 pm to 4:00 pm. what rational n

umber represent the average​
Mathematics
1 answer:
jarptica [38.1K]2 years ago
4 0

Answer:

I take it you mean the average gallons lost an hour, in which case you would do 58,432.4 - 56,475.2 to get 1,597.2 to which you divide by 2 getting your final answer of 978.6

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densk [106]

Answer:

a) 10/3  

b) hyperbola

c) x = ± 6/5

Step-by-step explanation:

a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

r=\frac{ep}{1\pm e*cos\theta}

Given the conic equation: r=\frac{12}{3-10cos\theta}

We have to make it to be in the form r=\frac{ep}{1\pm e*cos\theta}:

r=\frac{12}{3-10cos\theta}\\\\multiply\ both\ sides\ by\ \frac{1}{3} \\\\r=\frac{12*\frac{1}{3}}{(3-10cos\theta)*\frac{1}{3}}\\\\r=\frac{12*\frac{1}{3}}{3*\frac{1}{3}-10cos\theta*\frac{1}{3}}\\\\r=\frac{4}{1-\frac{10}{3}cos\theta } \\\\r=\frac{\frac{10}{3}(\frac{6}{5} ) }{1-\frac{10}{3}cos\theta }

Comparing with  r=\frac{ep}{1\pm e*cos\theta}

e = 10/3 = 3.3333, p = 6/5

b) since the eccentricity = 3.33 > 1, it is a hyperbola

c) The equation of the directrix is x = ±p = ± 6/5

6 0
2 years ago
Nga, Kai, and Jason volunteer in the school library. They want to find the average number of pages of a library book. It would b
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Answer: Kai

Step-by-step explanation:

I did the assignment and got it correct

4 0
2 years ago
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Answer: The lower bound of confidence interval would be 0.116.

Step-by-step explanation:

Since we have given that

p = 13.2%= 0.132

n = 1105

At 90%  confidence,

z = 1.645

So, Margin of error would be

z\sqrt{\dfrac{p(1-p)}{n}}\\\\=1.645\times \sqrt{\dfrac{0.132\times 0.868}{1152}}}\\\\=0.0164

So, the lower bound of the confidence interval would be

p-\text{margin of error}\\\\=0.132-0.0164\\\\=0.116

Hence, the lower bound of confidence interval would be 0.116.

3 0
1 year ago
The Hartman family is saving $400 monthly for Ronald's college education. The family anticipates they will need to
butalik [34]

Answer:

D. The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

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