Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
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The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
Answer: 8
Step-by-step explanation: She bought 8 shoelaces because 9.60 divided by 1.20 is 8
Answer:
It is not ''significant''
Step-by-step explanation:
Let's call the event
A : ''Answer a question correctly if a random guess is made''
Now we calculate the probability for the event A
![P(A)=\frac{cases where A occurs}{total cases}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7Bcases%20where%20A%20occurs%7D%7Btotal%20cases%7D)
In the exercise A occurs in only one way and the total cases are the number of possible answers
![Total cases = 18](https://tex.z-dn.net/?f=Total%20cases%20%3D%2018)
![P(A)=\frac{1}{18} =0.0555555](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7B1%7D%7B18%7D%20%3D0.0555555)
An event B is ''significant'' if ![P(B)\leq 0.05](https://tex.z-dn.net/?f=P%28B%29%5Cleq%200.05)
![P(A)=0.0555555](https://tex.z-dn.net/?f=P%28A%29%3D0.0555555)
⇒A it is not a ''significant'' event
Answer:
m = 18/4 = 9/2 = 4.5
Step-by-step explanation:
Notice that the line passes through (0, 0) and (4, 18). Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5 This is Answer B
Answer:
AD = 48
Step-by-step explanation:
C is the midpoint of AD. B is the midpoint of AC. BC = 12.
Let's draw the line segment using the given information.
BC = 12
C is the midpoint AD so C divides the line segment AD into two halves.
B is the midpoint of AC so B divided the line segment AC into two halves.
So, AB = BC
AB = 12
Now let's find AC.
AC = AB + BC
AC = 12 + 12
AC = 24
AD = AC + CD
C divides AD into two halves. So AC = CD = 24
Therefore, AD = AC + CD
AD = 24 + 24
AD = 48
Step-by-step explanation: