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Burka [1]
2 years ago
13

Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.

Mathematics
1 answer:
Andreyy892 years ago
3 0

Answer:

A) Cost is the dependent variable

B) $75.00

Step-by-step explanation:

We are given the following information in the question:

Cost of renting a snowmobile for 5 hours = $37.50

a)

If c represents the cost and h represents the hours. then cost is the dependent variable as it depends upon the number of hours for which the snowmobile is rented.

b)

Cost of renting a snowmobile for 1 hour =

\displaystyle\frac{\text{Cost for 5 hours}}{\text{Number of hours}} = \frac{37.5}{5} = \$7.5

Cost of renting 2 snowmobiles for 5 hours =

\text{Cost of renting a snowmobile for 5 hours }\times 2 = 37.5\times 2 = \$75

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Rewrite the equation in standard form by expanding it. <br> y= 3 (x+2)^2 - 4
morpeh [17]

Answer:

y = 3x^2 + 12x + 8

Step-by-step explanation:

To rewrite in standard from by expanding the equation using the distributive property.

y= 3 (x+2)^2 - 4

y = 3(x^2 + 4x + 4) - 4

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3 years ago
What percent of 400 is 260
postnew [5]
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6 0
2 years ago
A triangle forms the front of the Pantheon in Rome, Italy. Classify the triangle based on its sides. Then classify it based on i
SVETLANKA909090 [29]

Answer:

(See explanation for further details)

Step-by-step explanation:

Classification based on sides:

Equilateral - Three sides with same length.

Isosceles - Two sides with same length.

Scalene - No sides with same length.

Classification based on sides:

Acute-Angled - All angles are acute. (0^{\circ} < \theta < 90^{\circ}, 0^{\circ} < \alpha < 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})

Right-Angled - One angle is right. (0^{\circ} < \theta < 90^{\circ};\alpha = 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})

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3 0
2 years ago
The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4
Mrac [35]

Answer:

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

Mean = x1 = \frac{20+24+40+63+76+89}{6}

x1 = \frac{312}{6}

x1 = 52

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37

The deviations will be added then.Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24

So the mean absolute deviation for city 1 is 24 ..

For city 2:

Mean = x2 = \frac{41+50+58+62+72+83}{6}

x2 = \frac{366}{6}

x2 = 61

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22

The deviations will be added then.Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

3 0
2 years ago
Read 2 more answers
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