<u>Answer:</u>
The correct answer option is C. P(blue) = 21%.
<u>Step-by-step explanation:</u>
We know that,
the total number of people in a group = 1200
the number of people with brown eyes = 468
the number of people with blue eyes = 252
the number of people with green eyes = 132
the number of people with black eyes = 348
To find the probability of a person with blue eyes to be chosen, we will divide the number of people with blue eyes by the total number of people in the group and multiply it by 100.
P (blue) =
×
= 21%
y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
<h3>What is the standard equation of a parabola ?</h3>
The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
To know more about standard equation of a parabola
brainly.com/question/27915520
#SPJ1
What translation?? There’s nothing there?
Answer:
10 days
Step-by-step explanation:
We are given that
Each person takes 56 days
7 painters take time=
painter days
In first 6 days , 7 painters take time=
painter days
After 6 days , 28 volunteers are added then,
Total persons=28+7=35
Now, remaining days=392-42=350
Therefore, number of days are required before the painting of the king of rock 'n' roll is completed=
days
Hence,10 more days are required before the painting of the king of rock 'n' roll is completed
Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)
Expand the right side and equate the coefficients:
<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>
Then
<em>a</em> + <em>b</em> = -<em>k</em>
<em>ab</em> = 12
The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.
Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :
<em>a</em> + (<em>a</em> - 1) = -<em>k</em> → 2<em>a</em> = 1 - <em>k</em> → <em>a</em> = (1 - <em>k</em>)/2
<em>a</em> (<em>a</em> - 1) = 12 → (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12
→ (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12
→ (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48
→ (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48
→ <em>k</em>² - 1 = 48
→ <em>k</em>² = 49
→ <em>k</em> = ± √(49) = ±7