Answer:
Step-by-step explanation:
We notice there are 4B and 4G (shown in the photo)
P(picking 1st a Green) = 4/8 (having picked a green -and not replacing it- the remaining number of marbles is 3G + 4B)
P(picking 2nd a Green) =3/7
P(picking 1st green AND picking 2nd Green )=(4/8) x (3/7) = 12/56≈ 0.21=21%
The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
brainly.com/question/4289712
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Hello!
So, here you want to do the distributive property.
Start on the left side of the + sign...
-3*u = -3u
-3*3 = -9
So we now we have:
(-3u + -9) + 4(4u + 2)
Now we focus on the right side of the + sign...
4*4u=16u
4*2=8
So now we have:
(-3u + -9) + (16u + 8)
Now you want to combine like terms. Start by adding terms with the same variable. So, we need to add -3u and 16u
<em>-3u + 16u =</em> 13u
Now we have:
13u + -9 + 8
Now add the constants, -9 + 8
-9 + 8 = -1
So, the simplified expression would be:
13u - 1 or 13u + -1
Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that 
74% of student are taking an English class
This means that 
70% of students are taking both
This means that 
Find the probability that a randomly selected student is taking a math class or an English class.
This is 
, which is given by:
So
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
