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Liula [17]
2 years ago
13

How many solutions exist for the given equation? 3(x-2) =22 -x

Mathematics
1 answer:
kenny6666 [7]2 years ago
6 0

Answer:

one solution

Step-by-step explanation:

3(x-2) =22 -x

Distribute

3x - 6 = 22-x

Add x to each side

3x+x-6 = 22-x+x

4x+6 = 22

Subtract 6 from each side

4x+6-6 = 22-6

4x= 16

Divide by 4

4x/4 = 16/4

x=4

There is one solution

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Suppose a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 h
vladimir2022 [97]

A) The probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

B) The probability the golfer got exactly two holes-in-one during a single game is 8.57%.

C) The probability the golfer got six holes-in-one during a single game is close to 0%.

<h2 /><h2><u>How to determine probabilities</u></h2>

Since a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each, to determine A) what is the probability the golfer got zero or one hole -in-one during a single game, B) what is the probability the golfer got exactly two holes-in-one during a single game, and C) what is the probability the golfer got six holes-in-one during a single game , the following calculations must be performed:

  • 1 - 0.12 = 0.88
  • 0.88 ^ 17 = 0.1138
  • 0.88 ^ 18 = 0.1001

Therefore, the probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

  • 0.88 ^ 18 - 0.12 ^ 2 = X
  • 0.0857 = X

Therefore, the probability the golfer got exactly two holes-in-one during a single game is 8.57%.

  • 0.12 ^ 6 x 0.88 ^ 12 = X
  • 0.0000000001 = X

Therefore, the probability the golfer got six holes-in-one during a single game is close to 0%.

Learn more about probabilities in brainly.com/question/25273534

3 0
3 years ago
4x-5=19 please help thank you
frosja888 [35]

Answer:

x=6

Step-by-step explanation:

4x - 5 = 19

4x = 19 + 5

4x = 24

x =  \frac{24}{4}

x = 6

4 0
2 years ago
Read 2 more answers
My Space Mathematician Teacher needs this answer,
GaryK [48]

219864070186 - 277409297400 = -57545227214 x 780498 = -4.4913935e+16 - 1274806769367926946610431 = -1.2748068e+24 x 3.6614422e+21 = -4.6676314e+45 - 437913 = -4.6676314e+45 - 88878 = -4.6676314e+45

Ф = 500 , 5,000

5,000 / ∞ x ∞ x ∞ = 5,000^+++∞/ 68307147 = 0.00007319878^+++∞ - 917 - 974 - 9 - 19344381 = -19346280.9999^+++∞

-4.6676314e+45 -19346280.9999^+++∞ = -4.6676314e+45^+++∞

I believe that will be your answer.

I tried my best.

4 0
3 years ago
A spherical ball of wax with a radius of 5 inches is melted and poured into a container shaped like a rectangular prism with a 1
Novosadov [1.4K]

Answer:

4.36 in

Step-by-step explanation:

To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height

So the steps should look like

(4/3)*π*5³=523.599 in³

523.599 in³=12*10*Height

(523.599/(12*10))=4.36 in

7 0
3 years ago
Read 2 more answers
As an estimation we are told £3 is 4 euro.Convert £13.50 to euros
bixtya [17]

Answer:

15.07 Euro

Step-by-step explanation:

3 0
3 years ago
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