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densk
11 hours ago
15

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 comp

anies showed that 110 beat estimates, 29 matched estimates, and 23 fell short. (a) What is the point estimate of the proportion that fell short of estimates? If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05? If required, round your answer to the next integer. n* =
Mathematics
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A cylindrical tank has a radius of 2 m and a height of 9 m. The tank is filled with water. Find the work needed to pump the top
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The required work to pump water is 3,325,140 Joules. Step-by-step explanation: Work done by the pump is calculated by multiplying the force exerted on the pump by the distance the water is moved. Force equates to mass multiplied by gravitational acceleration. Consequently, Force = (water density × tank volume) × gravitational acceleration, leading to F = ρVg. Therefore, Work done = (ρVg) * d. Given the values of ρ = 1000 kg/m³, g = 9.8 m/s², d = 3 m, we compute the work done: Work = 1000 * 113.10 * 9.8 * 3 = 3,325,140 Joules.
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2 months ago
Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met
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Answer:

The area of the new pumpkin patch can be represented as  Area_2  =  15 x² + 380 x + 2400

Step-by-step explanation:

Given as:

The length of the original patch is L = 40 meters

The width of the original patch is W = 60 meters

Thus, the area of the rectangular patch is calculated as Length × Width

Or, Area_1 =  L × W

So,  Area_1  =  40 meters × 60 meters

Or,  Area_1 =  2400 meters²

Moreover, the width of the new patch becomes (40 + 3 x) meters

And the length of the new patch becomes (60 + 5 x) meters

Or, Area_2  =  L × W

Thus,Area_2  =  (40 + 3 x) meters × (60 + 5 x) meters

Or,  Area_2  = 2400 + 200 x + 180 x + 15 x²

Or,  Area_2  =  15 x² + 380 x + 2400

Therefore, the area of the new pumpkin patch is given by  Area_2  =  15 x² + 380 x + 2400  Answer

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Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to
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Plans A and D are incorrect because plan C states that it would have a consistent price for 8 weeks, whereas plan D would require 16 weeks to reach $12, which eliminates A and D as options. If the price were to be increased by 10% weekly, it would take 5 weeks to hit $12, as 10% of $8 amounts to 80 cents, leading to a total increase of $4 after 5 weeks, making the price $12. This confirms that B is the right choice.
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"There are 3 teams of 18 employees working today. Company policy says that we need to have 1 supervisor for every 8 employees on
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They require six supervisors.
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