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Nina [5.8K]
2 years ago
9

A lab technician has to fill the tank given below. Find it’s volume .

Mathematics
1 answer:
wel2 years ago
6 0

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = \pi×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of  \pi = 3.14

So, V =  \pi × r² × h

Or, V = 3.14 × (5)² × 8

Or, V =  3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V  = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters  Answer

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Step-by-step explanation:

1.\sum_{i=1}^{5}3i

The simplest method is "brute force".  Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

2.\sum_{k=1}^{4}(2k)^{2}

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

3.\sum_{k=3}^{6}(2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

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4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4.  The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

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This is an arithmetic sequence where the first term is -5 and the common difference is 4.  The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

a = 4n − 9

So the series is:

\sum_{j=1}^{5}(4j-9)

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A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird f
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Spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?
tensa zangetsu [6.8K]

Complete Question:

The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% chance of sunshine. If there are 90 days in the season,spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?

Answer:

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Step-by-step explanation

From the question above

The sample space(which means the total number of events that we are considering ) = 90 times of spinning which represents the 90 days  weather forecast

The chance of wind weather occurring is 10% and its observed  frequency of occurrence within the 90 days is  =  (10÷100) × 90 =  9 days

The chance of rain weather occurring is 20% and its observed  frequency of occurrence within the 90 days is  =  (20÷100) × 90 =  18 days

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The chance of sunshine weather occurring is 40% and its observed frequency of occurrence within the 90 days is  =  (40÷100) × 90 =  36 days

We see from the above calculation that the weather with the lowest observed frequency is Wind weather

 

8 0
2 years ago
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Answer:

$9.62

Step-by-step explanation:

15.50 + 3.74 = 19.24

19.24 / 2 = 9.62

so Mindy must pay Nora $9.62

6 0
2 years ago
Read 2 more answers
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