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gavmur [86]
3 years ago
10

♫ I have a Brainliest♫ Math situation

Mathematics
1 answer:
wel3 years ago
5 0
<span>13 3/4 length board needed 44.4 hours Since you need 5 lengths of 2 Âľ feet boards, multiply 2 Âľ by 5, giving 5 * 2 3/4 = 5 * 11/4 = 55/4 = 13 3/4 So the answer is 13 3/4 although technically, you'll need a board that's longer since the kerf for a saw blade is greater than 0 ( a typical saw kerf is from 1/16" to 1/8" so in reality Philly and Boston will need a board about 1/2" longer than the minimum. For the second problem, subtract the start time from the end time for each days to figure out how many hours Allison worked each day. Then sum up the hours to get the total time Allison worked. For this problem, it's easier to convert AM/PM times to 24 hour time. Basically, keep the AM times the same and add 12 hours to the PM times. So 5:13 PM - 8:03 AM = 17:13 - 8:03 = 9:10 4:49 PM - 7:58 AM = 16:49 - 7:58 = 8:51 4:41 PM - 7:46 AM = 16:41 - 7:46 = 8:55 4:50 PM - 8:23 AM = 16:50 - 8:23 = 8:27 4:32 PM - 7:31 AM = 16:32 - 7:31 = 9:01 Now add up the hours and minutes: 9:10 + 8:51 + 8:55 + 8:27 + 9:01 = 42:144 Since you can't have 144 minutes, divide the minutes by 60 to get hours and add the whole hours to the hours and the remainder will be the minutes. 144 / 60 = 2, remainder 24 So your time worked becomes 44:24 which is 44 + 24/60 = 44.4 hours. Since 44.4 isn't one of the available answers to pick from, I'd recommend talking to your teacher about the error in the problem.</span>
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A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. Th
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

s = \dfrac{60}{12}

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours

To minutes;

= 3 \times \dfrac{60}{10} \ minutes

= 18 minutes

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Is 400 pints greater than less than or equal to 100 gallons
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400 Imperial pints are less than 100 Imperial gallons, 
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Which equation represents a line that passes through (2, - 1/2) and has a slope of 4 ?
solmaris [256]

Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

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7 0
3 years ago
A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
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