The contents of two boxes are shown below. What is the probability of drawing a vowel from box 1 and an even number from box 2?
Box 1: A, B, C, D, E
Box 2: 1, 2, 3, 4, 5, 6, 7, 8, 9

PLEASE SHOW ALL YOUR WORK AND GET 30 POINTS !!!!!!! THANK YOU

Answer:

vowel = 2/5

even number = 4/9

Step-by-step explanation:

vowel:

total of all letters in the box= 5

cound total number of vowels in the box = 2

[tex]\frac{2}{5}[/tex] because out of the 5 letters there is 2 vowels so overall you have a [tex]\frac{2}{5}[/tex]chance of pulling out a vowel.

Same logic for the even numbers one.

Even numbers:

total amount of numbers in the box: 9

total amout of even numbers: 4

[tex]\frac{4}{9}[/tex] because you have 9 numbers in total and you want the chnce of finding an even number. That means you need to put the amout of even numbers on top of the fraction and the total amount below.

OVERALL:

simple way of remembering it is:

p = total amout of the thing you want the probability of finding (in this case even numbers or vowels)

t = total amout of all options in the box (or any container)

[tex]\frac{p}{t}[/tex]

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• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.



(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
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and add
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(B) The expression for total cost described in part A is
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+
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(C) Another way to express the total cost is to add the cost of
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bottles of water plus
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Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?

A. Group A, because a child in the group has the least forearm length of 10 inches.

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C. Group B, because no child in the group has a forearm length longer than 12 inches.

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2. 1,230,000

Write the following back to standard form

3. 3.42 x 10^6

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1) If y is the amount of dog food in the bin, and x is the number of days the dogs have been fed, write an equation to represent the amount of food left in the old dog's bin.


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The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.

Table 1

people who wear corrective lenses 762
people who wear glasses 638
people who wear contact lenses 124
Part A
What percentage of Americans would you predict wear corrective lenses?

Part B
What percentage of Americans would you predict wear glasses?

Part C
What percentage of Americans would you predict wear contact lenses?

Part D
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?

Part E
Of the 320 million people in the United States, how many would you predict wear glasses?

Part F
How many of the 320 million people in the United States would you predict wear contact lenses?

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A different random sample of 1,000 people yielded the results recorded in table 2. Use this data to answer the questions that follow.

Table 2

people who wear corrective lenses 745
people who wear glasses 618
people who wear contact lenses 127
Part A
What percentage of Americans would you predict wear corrective lenses?

Part B
What percentage of Americans would you predict wear glasses?
Part C
What percentage of Americans would you predict wear contact lenses?

Part D
How many of the 320 million Americans would you predict wear corrective lenses?

Part E
How many of the 320 million Americans would you predict wear glasses?

Part F
How many of the 320 million Americans would you predict wear contact lenses?

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