Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:
R = ΔV1/ΔV2
Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2
In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
ΔV2 = 1 m^2 of garden space
Therefore,
Rate of applying much is, R = 250,000/1 = 250,000 m^3/m^2
Answer:
The standard deviation of that data set is 3.8
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 55
95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.
Using one of these points.
55 + 2sd = 62.6
2sd = 7.6
sd = 7.6/2
sd = 3.8
The standard deviation of that data set is 3.8
0.6%. 100% divided by 2,500 people means each person is worth 0.04%. 0.04 times 15 is 0.6
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where 
is the initial height, 
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when 
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
11.25
Step-by-step explanation:
sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25
