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Aleks [24]
4 years ago
13

mary pulls out a bead from a bag containing white, red, and yellow beads. she records the color and places it back into the bag.

the table below shows the frequency of each color after 100 beads are pulled out. color of beads white red yellow number of draws 27 35 38 how many white draws can you expect if the beads are pulled out 1,000 times? 270 350 390 926
Mathematics
2 answers:
Verdich [7]4 years ago
7 0
P(white) = 27/100 = 270/1000

Therefore, in 1,000 pulls, we eaxpect 270 white beads,
anyanavicka [17]4 years ago
4 0

Answer:

270/1000

Step-by-step explanation:

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Answer:

The two numbers are <em>16</em> and <em>26</em>.

Step-by-step explanation:

We can solve this question using 2 simultaneous equations based on the given information from the question.

Let number 1 = x

Let number 2 = y

xy = 416 -> ( 1 )

x + y = 42 -> ( 2 )

We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.

Make y the subject in ( 2 ):

x + y = 42 -> ( 2 )

y = 42 - x -> ( 3 )

Substitute ( 3 ) into ( 1 ):

xy = 416 -> ( 1 )

x ( 42 - x ) = 416

42x - x^2 = 416

-x^2 + 42x - 416 = 0

- [ x^2 - 42x + 416 ] = 0

- [ x^2 - 16x - 26x + 416 ] = 0

- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0

- ( x - 16 ) ( x - 26 ) = 0

x = 16 -> ( 4 ) , x = 26 -> ( 5 )

Substitute ( 4 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 16 )

y = 26

Substitute ( 5 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 26 )

y = 16

Therefore:

x = 16 , y = 26

x = 26 , y = 16

The two numbers are 16 and 26.

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Step-by-step explanation:

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