The formula for the standard error is this:
σM = σ / √N
where
σM is the standard error
σ is the standard deviation
N is the number of samples
So,
σM = 0.45 / √50
σM = 0.0636 or 6.36%
The standard error is 0.0636
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
Answer:
The slope is 2/3
Step-by-step explanation:
-1/2x+3/4y=0
To find the slope, we need to get the equation in the form y= mx+b
Add 1/2x to each side
-1/2x+ 1/2 x+3/4y=0+1/2x
3/4 y = 1/2x
Multiply by 4/3 to isolate y
4/3 * 3/4 y = 4/3 * 1/2 x
y = 2/3 x
The slope is 2/3 and the y intercept is 0
5(x+3)=7x-3 which is the equation, then we solve for it, and the answer is 9