Answer: 300
Step-by-step explanation:
Let the number be represented by x.
Therefore, based on the information given in the question, this can be expressed as:
36% of x = 108
36/100 × x = 108
0.36 × x = 108
0.36x = 108
x = 108/0.36
x = 300
Therefore, the number is 300
Answer:
<u>Fred.</u>
Started hang gliding at a height of 700 ft and descends 15 feet every seconds
<u>Gene</u>
Started hang gliding at a height of 575 ft and descends 10 feet every seconds
Step-by-step explanation:
The function that models Fred's hang gliding is 
The initial value is 700 feet. This Fred was 700 feet above see level before he starts descending.
The rate of descent is -15 ft/s. This means Fred descends 15 feet in one second.
From the table the initial height is 575 ft. This means Gene was 575 feet above sea-level at the beginning of the hang gliding.
The rate of descent is
ft/s.
This means that in every seconds, Gene descends 10 feet.
Answer:
x = -3 is the answer. Writing this cause brainly requires a 20 character answer.
Answer:
Value of k is
Step-by-step explanation:
We are given the following information in the question:

where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is 
Answer:
x = 14
Step-by-step explanation:
5x - 40 = 30
+40 +40
5x = 70
divide by 5 on both sides
x= 14