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vekshin1
2 years ago
13

Ben and Carmella want to go to a basketball game. Carmella proposes they use a bag of 90 lettered tiles to decide who will pay f

or the tickets. Of the tiles, 35 are vowels and the rest are consonants. She will blindfold Ben and ask to him randomly choose a tile. If Ben picks a vowel, Carmella will pay for the tickets. If Ben picks a consonant, he will pay for the tickets.
Carmella distributes the 90 tiles into two boxes that are located to the left and to right of Ben. She tells Ben that there are a total of 43 lettered tiles in the box on his left, and 43 of the tiles in the box on his right are consonant tiles. Carmella gives Ben three options of how to select his tile.

Method 1: choose randomly from the box on his right

Method 2: choose randomly from the box on his left

Method 3: mix the letter tiles back together, and choose randomly from the entire set of tiles

Use this information to complete the statement.

The probability that Carmella will pay for the tickets is greatest, approximately __%, if Ben selects his tile using method __.

Mathematics
2 answers:
Zigmanuir [339]2 years ago
5 0

Answer:

72.1%

2

Step-by-step explanation:

Please give me brainliest, I really need it.

nataly862011 [7]2 years ago
3 0

Answer:

72.1  and  2

Step-by-step explanation:

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What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20
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Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

[56,78,123,34,67,9,20]

Sum the data and divided by the number of elements

[56+78+123+34+67+91+20]/7=469/7=67

step 2

For each number: subtract the Mean and square the result

[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]

[121,121,3,136,1,089,0,576,2,209]

step 3

Work out the mean of those squared differences

[121+121+3,136+1,089+0+576+2,209]/7=1,036

This value is called the "Variance"    

step 4

Take the square root of the variance

standard\ deviation=\sqrt{1,036}=32.2

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3 years ago
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<h2>Answer and Explanation to questions 13,14,15</h2>

13) \mathbf{\overline{XY}\cong\overline{CD}}        as given in the question.

14) \mathbf{\overline{XY}\cong\overline{YZ}}          Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.

15) \mathbf{\overline{CD}\cong\overline{YZ}}

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<h2>Answer and Explanation to questions 16,17,18</h2>

∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°

And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.

∠3 + ∠1 = 180°    .............(i)

∠1 + ∠2 = 180°    .............(ii)

subtracting equation (i) and (ii) will give ∠3 = ∠2   ..........(iii)

15) ∠3 is supplementary to ∠1                        as given in the question

16) ∠2 is supplementary to ∠1                        as shown be equation (ii)

18) ∠3 ≅ ∠2                                                      as shown by equation (iii)

<h2>Answer and Explanation to questions 19</h2>

∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180°   .......(i)

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subtracting equation (i) and (ii)

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∠3 + ∠4 - ∠4 - ∠5 = 180°-180°

∠3 - ∠5 = 0

∴ ∠3 = ∠5     (Hence Proved)

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