Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
Answer: y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Step-by-step explanation:
Answer:
Hence, the model that best represents the data is:

Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)

B)

C)

D)

We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
Answer :E) Not enough information is given to determine the probability.
Step-by-step explanation:
Le A denotes the event that households in the United States own dogs .
and B denotes the event that households in the United States own cats.
As per given , we have
P(A)=36.5%= 0.365
P(B)=30.4% = 0.304
To find the probability that the selected household will own a dog or a cat, we apply the following formula :
P(A or B)=P(A)+P(B)+P(A and B)
But P(A and B) is not given to us.
i..e the probability that a house hold own both a cat and adg is not given to us.
Therefore, The correct option is (E) Not enough information is given to determine the probability.