The correct value of the angle of rotation is 3π/5
Answer:
Distance travelled ≈ 22.6 ft
Step-by-step explanation:
We are given;
Radius;r = 12 ft
Angle of rotation; θ = 3π/5
The formula for calculating distance travelled is;
Distance travelled = rθ
So, plugging in the relevant values;
Distance travelled = 12 x 3π/5
Distance travelled ≈ 22.6 ft
The answer is 7,500.
Hope that helped!!!
Answer:
In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.
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.
Also:
The normal distribution is symmetric, which means that 50% of the data is above the mean and 50% is below.
Then:
In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.
Given:
A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.
To find:
The quantity of the 60% solution in the mixture.
Solution:
Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.
Quantity of mixture is 234. So,
...(i)
The mixture has 43% fertilizer. So,
Multiply both sides by 100.
...(ii)
Using (i) and (ii), we get
Divide both sides by -39.
Putting this value in (i), we get
Therefore, 132 liters of the 60% solution must be used.
Answer:
a) Y = -3x/5 + 15
b) Y = 3 - 0.6x
d) Volume = 15Pi
e) Volume of cone = 15pi
Step-by-step explanation:
The detailed steps and appropriate integration is as shown in the attached file.
