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djyliett [7]
2 years ago
11

A bowl contains 4 tangerines and 5 clementines. John randomly selects one piece of fruit, and then Pam randomly selects one of t

he remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects a clementine? Show all work and this is a independent/dependent question.
Mathematics
1 answer:
Drupady [299]2 years ago
4 0

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                       = 4/9 * 5/8 =5/18

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Daniel wrote the following two-column proof for the given information.
Pavel [41]

The information given about the proof does that Daniel made an error on line 2.

<h3>How to illustrate the information?</h3>

Given:

1. AB = 3x +2;  BC = 4x + 8;  AC = 38

2. AB + BC = AC      incorrect (not an angle angle addition postulate)

3. 3x+2 + 4x + 8 = 38         correct

4. 7x + 10 = 38                    correct

5. 7x = 28                           correct

6. x = 4

Daniel made an error on line 2.

Here is the complete question:

Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5

Learn more about proof on:

brainly.com/question/4134755

#SPJ1

8 0
2 years ago
F(x)=4x+1 and g(x)=x^2-5find(f-g)(x)
Vinvika [58]

Answer:

<h2>-x²+4x +6</h2>

Step-by-step explanation:

Given f(x)=4x+1 and g(x)=x²-5

(f-g)(x) is derived by taking the difference of both functions

(f-g)(x) = f(x)-g(x)

(f-g)(x) = 4x+1 - (x²-5)

(f-g)(x)  = 4x+1-x²+5

(f-g)(x)  = -x²+4x +6

This gives the requires expression

4 0
4 years ago
Who know the answer of this? And can u pls explain for me?
anyanavicka [17]

Answer:

1.5 kg

Step-by-step explanation:

17*92 g = 1564

1564/1000= 1.564 kg

4 0
3 years ago
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F(x)=1/2x+4 For R={5,6,7,8}
anzhelika [568]

Hey there!!

Remember : R = range and f ( x ) = y and y = range

R : { 5 , 6 , 7 , 8 }

( 1 ) 5 = 1 x / 2 + 4

... 5 - 4 = x / 2

... 1 = x / 2

... x = 2 = ( 2 , 5 )

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... x = 4 = ( 4 , 6 )

( 3 ) 7 = x / 2 + 4

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... x = 6 = ( 6 , 7 )

( 4 ) 8 = x /2 + 4

... 4 = x/2

... x = 8 = ( 8 , 8 )

Hope my answer helps!

7 0
4 years ago
I need to prove the following statement: a number is even if and only if its last digit is even.
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It is basically like 82 84 76 94
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