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aleksandr82 [10.1K]
2 years ago
13

Help me please and remember SHOW ALL WORK TYSM!

Mathematics
2 answers:
gulaghasi [49]2 years ago
7 0
The probability of getting a vowel is 2/5 because a vowel is A E I O U and sometimes Y, and there’s 2 vowels out of 5 letters

Box 2 would be 4/9
Dima020 [189]2 years ago
4 0
Vowels include AEIOU, so in the first box there is 2 vowel out of the 5 letters so 2/5 probability for the first box. Box 2 includes 2,4,6,8 as the even numbers out of the 9 numbers so 4/9
If you were solving the probability for each box individually that would be your answer
However if you are doing statistics and need to do it in a certain order you multiply the fractions
2/5 x 4/9 = 8/45
(.17777)
This leaves you with a 17% (8/45) chance of picking a vowel then an even number.
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The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
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Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
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Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
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Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
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1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
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