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%.
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer:
A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. It is like a view into the inside of something made by cutting through it. This is a cross-section of a piece of celery.
Answer:
x = -.1715 ≈ - .172 or x = -5.83
Step-by-step explanation:
x² + 6x + 1 = 0
x² + 6x = -1
Complete the square Add to both sides (1/2 of the x-term, then square it.)
x² + 6x + 9 = -1 + 9
(x + 3)(x + 3) = 8
(x + 3)² = 8
=
x + 3 = ±
x = -3 ±
x = -3 + or x = -3 -
x = -.1715 ≈ - .172 or x = -5.83