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n200080 [17]
3 years ago
6

John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the c

ard on each occasion.
b) What is the probability she will choose a consonant?
Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

Vowels: 3

Consonants: 5

5/8 = X

0.625 = X

0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

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Step-by-step explanation:

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would
Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The  ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, A_1 = 2 x × 3 x

Or,  A_1  =  6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or,   A_2  = 4 x × 4.5 x  = 18 x²

So, The percentage increase in area = \dfrac{A_2 - A_1}{A_1} × 100

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Or , The percentage increase in area = \dfrac{12}{6} × 100

∴ The percentage increase in area  = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0
3 years ago
Taylor saw an American alligator at a zoo that measured Ask Your Teacher feet long. The record length of an American alligator i
lianna [129]

Answer:

The record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured 12\frac{11}{12} feet long. The record  length of an American alligator is 19\frac{1}{6} feet long. How much longer is the record  alligator than the alligator Taylor saw?

For this first convert the mixed fraction into an improper fraction.

12\frac{11}{12}=\frac{155}{12}

19\frac{1}{6}=\frac{115}{6}

Now subtract \frac{155}{12} from \frac{115}{6}.

\frac{115}{6}-\frac{155}{12}=\frac{75}{12}=6\frac{1}{4}

Hence, the record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

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3 years ago
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Kitty [74]

Answer:

128

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask!!!

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