Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, 
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
Expand 
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4
Answer:
B. 203.403
Step-by-step explanation:
2 times 100 = 200
3 times 1 = 3
4 times 1/10 = 0.4
3 times 1/1000 = 0.003
200 + 3 = 203
203 + 0.4 = 203.4
203.4 + 0.003 = 203.403
Answer:
the graph is as illustrated above
The absolute value of x is shifting 3 units up
The formula for area of a circle is π × radius^2, and to find the radius we can just divided the diameter by 2 and get 2 inches. You don't need to use a calculator here, because π is approximately equal to 3.14, so 3.14 × 2^2 = 12.56, which is answer B. I hope this helps!
