<u><em>5 is the missing number according to the associative property is the final answer. </em></u>
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F(-4)= 9*3^(-4)=9/(3^4)=1/9
4,2,0,-2,-4
Minus by 2 for each number
4-2= 2
2-2= 0
0-2= -2
-2-2= -4
-4-2= -6
-6-2= -8
Answer : 4,2,0,-2,-4, -6,-8
Probability of a rock song would be 2/7 ( 2 rock songs out of 7 total songs)
Probability of a country song after that would be 3/6 (3 country songs out of 6 songs left) this can be reduced to 1/2
The probability of both = 2/7 x 1/2 = 2/14 = 1/7
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
