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timama [110]
3 years ago
8

A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef

t in the tank. How many liters of water leaked out per hour?
Mathematics
1 answer:
disa [49]3 years ago
8 0
20-14=6
6÷24=1/4
1/4 liters of water leaked out per hour
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1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by
Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by  distribution with

  mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

 second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

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∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = \frac{290-304}{8} = -1.75

* Let us use the normal distribution table to find the corresponding

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∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

  onto the green if he hits the ball a distance  in the top 10% of all

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- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

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∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = \frac{x-304}{8}

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0
3 years ago
Filipemarcosdesouza
Margaret [11]

Answer:

noted, thanks for the note

7 0
3 years ago
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blsea [12.9K]

Answer:

the first one in the picture

Step-by-step explanation:

8x8x8x8=4096

9x9x9x9=6561

4096x6561=26873856

72x72x72x72=26873856

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Which of the following represent the same level of precision? Check all that
JulijaS [17]
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