There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
Answer:
1. C
2. D
3. C
Explanation:
1. Girls = 12 plus twice the number of boys, so C. y = 12 + 2x.
2. You have to see which point has the second value being greater than the first value:
A) -1 > -2 is not true
B) 0 > 1 is not true
C) 2 > 3 is not true
D) 8 > 4 is true, so it's D
3. Add the two values and see if it's less than 5
A) -1-4 < 5 is true
B) 0 + 4 < 5 is true
C) 1 + 7 < 5 is not true, so this is the answer
D) 2 + 2 < 5 is true
The total number of people in the city surveyed by Annette= 480 people.
Step-by-step explanation:
Let 'X' be the Total Number of people Annette surveyed.
Out of Total people in the city, only <u>180 people are not interested</u> in a new shopping mall.
Therefore, it is given in the question that <u>180 is 37.5% of Total number of people surveyed (X).</u>
step 1: 180= (37.5/100)*(X)
step 2: X= (180*100)/37.5
step 3: X= 18000/37.5
step 4: X= 480
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
6.7 * (10^7) = 67 000 000