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Sedaia [141]
3 years ago
15

Burnem Inc. manufactures thumb drives and sells them to a distributor. Burnem's total cost and total revenue (in dollars) for x

thumb drives are given by the following equations. Total cost = 4x + 4884 and Total revenue = 15x How many thumb drives must Burnem sell to break even?
Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0

Answer:

444 thumb drives

Step-by-step explanation:

Break even is the point at which the proceeds are equal to the costs i.e. when Total cost = Total revenue. So using the equations provided, the breakeven point for Burnem Inc. will be 4x + 4884 = 15x, where x is number of thumb drives. We solve for x to get the answer:

4x + 4884 = 15x

4884 = 15x - 4x

4884 = 11x

x = 4884/11

x = 444 thumb drives

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In 2010, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephon
Zepler [3.9K]

<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

Step-by-step explanation:

As per given , we have

H_0: \mu=9.4\\\\H_a:\mu\neq9.4, since H_0 is two-tailed so , the test is a two tail test.

Since population standard deviation is unknown, so we use t-test.

Critical value (two-tailed) for significance level of 0.01= t_{n-1,\alpha/2}=t_{49, 0.005}\pm2.609228

For n =50 , \overline{x}=8.6 and s= 4.8

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

t=\dfrac{8.6-9.4}{\dfrac{4.8}{\sqrt{50}}}\approx-1.18

Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.

We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

4 0
3 years ago
The circumference of a circular field is 285.74 yards. What is the diameter of the field? Use 3.14 for it and do not round your
trapecia [35]

Answer:

The diameter is 91.

Step-by-step explanation:

The formula for circumference is 2*pi*radius(you can use circumference = diameter*pi too). Plug 285.74 into it. Divide both sides by 3.14, and you get 2*radius(aka the diameter) = 91

8 0
3 years ago
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Please help ASAP for question b
zlopas [31]

Answer: The height of the new player is 210 cm

Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3

What this means is that, we have a summation of the observed data and a summation of the frequency of data.

The mean was calculated as

Sum FX/Sum F = 200.3

Where Sum FX is 2604 and Sum F is 13

However, our calculation should now read thus,

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By cross multiplication we now have

Sum FX = Sum F x 201

Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus

Sum FX = 14 x 201

Sum FX = 2814

If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be

2814 - 2604 = 210

So the height of the new member added to the team is 210 cm.

6 0
3 years ago
Help please quickly thank you so much
STALIN [3.7K]

Answer:

120 deg

Step-by-step explanation:

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4.4a-7.3 is equal to
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