Answer:
x < 2
(Let me know if you need the work)
Answer:
10 books.
Step-by-step explanation:
(b) To estimate the mean we take the mean value of books for each bar.
So for 0-4 books we use 4/2 = 2, for 5-9 we use (9-5)/ 2 + 5 = 7 and so on for each bar. So the estimate for the first bar is 2 * 9 = 18 books.
So the required mean = total estimate of books bought / number of students
= (9 *2 + 10*7 + 12*13 + 17*2 + 22*6) / 40
= 410 / 40
= 10.25
Your post is difficult to read. Please use " / " to denote division.
<span>the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 4 cm and Θ =
π
3
I will have to assume that your angle is pi/3.
The area of this circle is pi*r^2, or pi*(4 cm)^2, or 16*pi cm^2, and the area of the sector defined by pi/3 is
pi/3 (1/3)
-------- * 16*pi cm^2, or --------- * 16 pi cm^2, or (16 pi)/6 cm^2,
2pi 2
</span>or 8pi/3 cm^2 (answer)<span>
</span>
The probability of getting any one number from one roll of a six sided dice is 1/6 (%16.6666667).
Answer:
decrease of 1.153 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
5p+5x+3px=71
Find:-
Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day
Solution:-
- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":
d/dt (5p+5x+3px=71)
5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0
- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:
5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0
17dx/dt = -19.6
dx/dt = -1.153 sales per day
- There is a decrease of 1.153 sales per day.