Answer:
B. 4
Step-by-step explanation:
We are looking for the coefficient of the term x⁵. When we see it in the polynomial as 4x⁵, our coefficient and answer would then be 4.
Answer: a. 0.6759 b. 0.3752 c. 0.1480
Step-by-step explanation:
Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes
i.e. 
minutes
minutes
Let x be the long-distance call length.
a. The probability that a call lasts between 5 and 10 minutes will be :-
b. The probability that a call lasts more than 7 minutes. :
![P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E7%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B7-6.3%7D%7B2.2%7D%29%5C%5C%5C%5C%3DP%28Z%3E0.318%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C0.318%29%5C%5C%5C%5C%3D1-0.6248%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7Bby%20z-table%7D%5D%5C%5C%5C%5C%3D0.3752)
c. The probability that a call lasts more than 4 minutes. :
Answer:
20
Step-by-step explanation:
2, 5, 9, 14, ?, 27.
2,5 the number added is 3
5,9 the number added is 4
9,14 the number added is 5
14,20 the number added is 6
20 , 27 the number added is 7
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:
Let x be the number of cans.
4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20
Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180
Therefore, you collected 80 cans and your friend collected 100 cans.
Answer:
52
Step-by-step explanation:
5x-22+4x+4 = 90
9x-18=90
9x=108
x=12
4*12+4
52
