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tatiyna
3 years ago
15

Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

Mathematics
1 answer:
gogolik [260]3 years ago
3 0

Answer:

18.84 green units

Step-by-step explanation:

Circumference = pi × d

3.14 × 6

= 18.84 green units

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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
3 years ago
Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of
scZoUnD [109]

Answer:

a) X ~ e(0.03)

b) μ = 100/3

c) \sigma = 100/3

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ e(0.03)

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is \sigma = 1/0.03 = 100/3

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0
3 years ago
A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted livin
Veronika [31]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

4 0
3 years ago
The table gives the vertices of a preimage and its image under what transformation? (x, y) (?, ?)
ankoles [38]
The first one is 8 and the second one is 6
3 0
2 years ago
Jeremy measured the room to be 10 feet long and 4.5 feet wide. He plans to purchase carpet for the entire room. The carpet cost
Andreyy89

Answer:

$205.73

Step-by-step explanation:

First we find the square area,

multiply 10 by 4.5 and we get 45

we convert feet to meters by dividing it by 3.281

45/3.281=13.71533

we the multiply 13.71533 by 15 to get the total price

we get 205.72996 and round it to 205.72

5 0
2 years ago
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