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trasher [3.6K]
3 years ago
8

Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a

multiple of 3.
Also, write a prediction about if there is an unlikely, impossible, likely, even, or certain change of drawing a multiple of 3.
Mathematics
2 answers:
Goryan [66]3 years ago
5 0

Answer:

  • 30%
  • Unlikely

Step-by-step explanation:

<u>The balls - multiples of 3 are:</u>

  • 3, 6 and 9

<u>The probability of a multiple of 3 is:</u>

  • 3 out of 10 or
  • P = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

NNADVOKAT [17]3 years ago
5 0
  • Total balls=10
  • Multiples of 3=3,6,9

Total multiples=3

\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}

\\ \sf\longmapsto P(3)=\dfrac{3}{10}

\\ \sf\longmapsto P(3)=30\%

  • It is <50%;

So it is unlikely to happen.

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Solve and show all work |2×+3| -6=11​
mash [69]

Answer:

x = -10; x = 7  

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17                    (2) 2x + 3 = -17

Subtract 3 from each side

         2x = 14                                 2x = -20

Divide each side by 2

          x = 7                                   x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11                     (2) |2(-10) + 3| - 6 = 11

      |14 + 3| - 6 = 11                              |-20 + 3| - 6 = 11

             |17| - 6 = 11                                     |-17| - 6 = 1 1

              17 - 6 = 11                                        17 - 6 = 11

                    11 = 11                                              11 = 11

7 0
3 years ago
You build a fence around garden that measures 10 x 15 feet; how many feet of chain link fence will you need?
Neporo4naja [7]

Answer:

50 feet

Step-by-step explanation:

We have to find the perimeter of the fence surrounding the garden.

2l+2w

2(15) + 2(10)

30 + 20

= 50

50 feet will be needed.

6 0
3 years ago
Read 2 more answers
Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
alexandr402 [8]

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

UV/CA = 17/34 = 1/2

&

VW/AB = 14/28 = 1/2

∵ UV/CA = VW/AB = 1/2

& ∠V = ∠A (Given)

∵ ΔWVU ≅  ΔCAB   (by SAS similarity)

7 0
2 years ago
Find the distance between the points ( - 9, - 12) and (18, - 12)
ANTONII [103]

Hello from MrBillDoesMath!

Answer:

27



Discussion:

By the distance formula (or Pythagorean theorem)

distance =   sqrt ( (change in x)^2 + (change in y)^2)


In our case this becomes

distance =   sqrt (   (18 - (-9) )^2 + (-12 - ( -12))^2)

               =  sqrt (    ( 18 + 9) ^2   + ( -12 + 12) ^ 2)

               =  sqrt (  ( 18 + 9) ^2 + 0^2 )

               = sqrt ( 27^2)

               = 27

 

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before



Thank you,

MrB

4 0
3 years ago
You have a set of 10 cards numbered 1 to 10. You choose a card at random. Event A is
Evgesh-ka [11]

Answer:

35% or 35/100

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

Choosing a number LESS than (not equal to 8) is 7/10 (1,2,3,4,5,6,7)

Chosing an even number is 5/10 (2,4,6,8,10)

so just multiply 7/10 x 5/10 to get 35 over 100, or a 35% chance

6 0
2 years ago
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