Answer:
The number of complete award announcements possible are 19,554,575,040.
Step-by-step explanation:
Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.
Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.
The number of people entering this year is 22.
The number of ways to select 5 people for Grand Prize is, 
.
The remaining number of people is, 22 - 5 = 17.
It is provided that the other 5 are selected according to an order.
The number of ways to select other 5 winners is,
The total number of ways to select 10 winners of 22 is:
Total number of ways = 26334 × 742560 = 19,554,575,040.
98-70 is 28 meaning that the range is 28
Answer:
A is the answer.
Step-by-step explanation:
What you do is you multiply -6 into each of the fractions and then add or minus the fractions together.
-6(1/4x)=-3/2x
-6(-2/3x)=4x
-6(5/6x)=-5x
-3/4x+4x-5x=-2.5 or A.
Answer:
Number of Muhammad's swim suits = k - 8
Step-by-step explanation:
Given:
Number of Charlie's swim suits = K
Number of Muhammad's swim suits = 8 less than Charlie
Find:
Expression [Number of Muhammad's swim suits]
Computation:
Number of Muhammad's swim suits = 8 less than Charlie
Number of Muhammad's swim suits = k - 8
Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2
