Answer:
x≥(500-87)/40
Step-by-step explanation:
You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.
To answer this, you need to make a systems of equations.
25x + 35y = 1450
x + y = 50 ----> y = 50 - x
25x + 35(50-x) = 1450
25x + 1750 - 35x = 1450
25x - 35x + 1750 = 1450
-10x + 1750 = 1450
- 1750 -1750
-10x = -300
x = 30
He played tennis for 30min
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;
Here, 
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean = 
So, 
⇒ 
SO, X ~ Exp()
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) = 
= 1 - 0.2557
= 0.7443
G(x) would have to be -->7 units.
The relationship between f(x) and s(x) where s(x)=af(x-b)+z is that g(x) is f(x) stretched by the reciprocal of a, b is the liar (all x values go up if b goes down and visa versa), and it moves up z units.
Answer:
The maximum amount of time is 48.2 minutes
Step-by-step explanation:
We can use the equation for a line
y = mx+b
the inital value is 75 gallons ( that is b)
the slope is 2.5 gallons (that is m)
We know that we want to fill it to 195.5 gallons ( that would be y)
195.5 = 2.5x +75
We are going to solve for x (that is the number of minutes)
Subtract 75 from each side
195.5-75 = 2.5x +75-75
120.5 = 2.5x
Divide by 2.5 on each side
120.5/2.5 = 2.5x/2.5
48.2 =x
The maximum amount of time is 48.2 minutes
