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vaieri [72.5K]
2 years ago
7

Martin and three of his friends take turns driving on a trip. The gas mileage for their car ranges from 28.94 to 24.56 miles per

gallon. Each friend drives between 58 and 64 miles, so Martin estimates they will need about 7 gallons of fuel for their trip. Is this a reasonable estimate?
A. No, the estimate should be higher.
B. No, the estimate should be lower.
Mathematics
1 answer:
mart [117]2 years ago
8 0

Answer:

A. No, the estimate should be higher

Step-by-step explanation:

To determine the maximum number of gallons of fuel the car can consume, we express this as;

Maximum miles driven=highest consumption per gallon×Maximum gallons

where;

Maximum miles driven per person=64 mile

Maximum miles driven=64×4=256 miles

highest consumption per gallon=24.56 miles per gallon

Maximum gallons=g

replacing;

256=24.56×g

24.56 g=256

g≥256/24.56=10.42 gallons

g≥10.42 gallons

No, the estimate should be higher

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The growth in the mouse population at a certain county dump can be modeled by the exponential function A(t)= 906e0.012t, where t
tatyana61 [14]

Answer:

A(t) = 906 e^{0.012t}

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

A(36) = 906 e^{0.012*36}= 1395.54

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

A(t) = 906 e^{0.012t}

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

A(36) = 906 e^{0.012*36}= 1395.54

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

5 0
2 years ago
The data set below shows the number of books checked out from a library during the first two weeks of the month: 10, 89, 80, 95,
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2 years ago
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The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d
lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(person is between 160 and 170 centimeters)

P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%

b) P(person is higher than 190 centimeter)

P(x > 190)

P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)

= 1 - P(z \leq 1.2328)

Calculation the value from standard normal z table, we have,  

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7 0
2 years ago
What is the area of the regular octagon below? 9m
Feliz [49]

Answer:

No diagram and no explanation what 9 is.

However, if it is an octagon with each side equal to 9 then

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area = 8 * 9 * 9 / (4* tan (180 / 8)

area = 648 / 4 * 0.41421

area = 391.1059607446

answer is C

Step-by-step explanation:

8 0
2 years ago
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