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erastovalidia [21]
3 years ago
13

When seven basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select

the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name.
Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

1 / 5040

Step-by-step explanation:

The number of ways that 7 basketball players can be arranged is 7! = 5040.  Only one of these arrangements is alphabetical.  So the probability is 1/5040.

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An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from t
Aleonysh [2.5K]

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m

So, the height of the plane is 404.98 m.

6 0
2 years ago
Deandre just bought 9 bags of 15 cookies each. He already had 6 cookies in a jar. How many cookies does deandre have now?
djverab [1.8K]

Answer:

141 cookies

Step-by-step explanation:

amount of cookies

= 9(15) + 6

= 135 + 6

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6 0
3 years ago
Find the length of the third side to the nearest tenth<br> 7<br> 1
AlexFokin [52]

Answer:

10.7

Step-by-step explanation:

3 0
3 years ago
(3x-4y)^2-(3x-4y)(3x+4y)
zheka24 [161]

Answer:

-24xy + 32y^2

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

  • (a + b)^2 = a^2 + 2ab + b^2
  • (a + b)(a - b) = a^2 - b^2

<h3>Simplify</h3>
  • (3x - 4y)^2 - (3x - 4y)(3x + 4y)
  • (9x^2-24xy+16y^2) - (9x^2 - 16y^2)
  • 9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2
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The simplified form is -24xy + 32y^2

6 0
1 year ago
How can you be sure that 0.1 ÷ 100 = 0.001?
KATRIN_1 [288]

Answer: When dividing by 100, move the decimal two places to the left

Step-by-step explanation: 0.1 / 100 = 0.001

There are 2 zeros in 100 so you move the decimal to the left 2 times when you are dividing. When you move the decimal 2 times in 0.1 you get 0.001

8 0
3 years ago
Read 2 more answers
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