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ivanzaharov [21]
3 years ago
6

Solve by the square root method 2b^2=96(^2=squared)

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
Divide both sides by 2
b^2 = 48

b = +/- sqrt 48
   = +/- 6.93  to nearest hundredth
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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

   290 yards

∵ 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

  his drives

- 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%

  to the right or 90% to the left

∵ 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
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Drupady [299]

Answer:

The point-slope form of this equation is y - 2 = 3/2(x + 1)

Step-by-step explanation:

To find the answer to any equation in point slope form, start with the base form of the equation.

y - y1 = m(x - x1)

Now input the slope for m and the point at (x1, y1)

y - 2 = 3/2(x + 1)

3 0
3 years ago
four sisters bought a present for their grandfather that cost each sister $8. they recieved a 20% discount how much was the orig
Westkost [7]
8x4=$32
80%-$32
100%= 32/80 x 100 = $40
4 0
3 years ago
Solve for base. 450 crates is 0.90% of ___ crates
Tema [17]
Well... if 450 is 90% of the crates then 500 is 100%. 450 crates is 0.90% of 500 crates.
8 0
3 years ago
What’s the answer to 5 + 2x = 2x + 6
Firlakuza [10]

Answer:

Your answer is: No solution

Step-by-step explanation:

Hope this helped : )

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3 years ago
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