Answer:

Step-by-step explanation:
The probability density function is :

With 0 < x < 3
To be a valid probability density function :

Where a < x < b
And also
f(x) ≥ 0 for a < x < b
Applying this to the probability density function of the exercise :





We can verify by replacing ''c'' in the original probability density function and integrating :


Also, f(x) ≥ 0 for 0 < x < 3
Answer:
31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4
Step-by-step explanation:
Please mark me brainlist if this helped
Answer:
27.385 cm longer would we expect Mike's arm span to be than George's.
Step-by-step explanation:
We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:
y= 4.5x + 0.977 x
where y= arm span
and x= height
Given:
Mike's height=x = 175 cm
so Mike's arm span= y= 4.5 x + 0.977 x
= 4.5* (175) + 0.977* (175)
= 787.5 + 170.975
= 958.475 cm
George's height = x = 170 cm
so George's arm span= y= 4.5 x + 0.977 x
= 4.5* (170) + 0.977* (170)
= 765 + 166.09
= 931.09 cm
Mike's arm span longer than George's = Mike's arm span - George's arm span
= 958.475 - 931.09
= 27.385 cm.
Answer:
30 c + 100 m = 700
c+ m = 14
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations.
The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.
30 c + 100 m = 700
The number of movies (m) plus the number of commercials (c) is equal to 14.
c+ m = 14
The system is:
30 c + 100 m = 700
c+ m = 14