Answer:
16 percent of times are between 6 and 22
1. Getting either all heads or all tails is a 1/1024 chance
2. Rolling a pair of dice and getting a sum of one has a chance of 0
3. Rolling a sum of 5 has a 2 in 21 chance
4. Rolling a sum of 12 has a 1 in 21 chance
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.
The center of the circle is at x axis (*, 0), the equation could be:
(x - 6)² + (y - 0)² = 6²
(x - 6)² + y² = 36
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
